%I A012001 %S A012001 1,2,46,1112,55816,3804272,372397936,47682319232,7841034902656, %T A012001 1601250315636992,398250217200414976,118406090377889303552, %U A012001 41478295178427681104896,16904918898000336224294912 %N A012001 tan(log(cos(x)))=-1/2!*x^2-2/4!*x^4-46/6!*x^6-1112/8!*x^8... %R A012001 %O A012001 0,2 %K A012001 sign,done %A A012001 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) (this is OK except the offset should be 1; I fixed this by adding an initial zero on Dec 16 2011) %I A012002 %S A012002 1,2,14,568,2144,1061312,65851696,3745115008,1232648783744, %T A012002 50799435228928,36670923310299136,8828746813705828352, %U A012002 954888000296009790464,1122466427244127979911168 %V A012002 -1,-2,14,568,2144,-1061312,-65851696,3745115008,1232648783744, %W A012002 50799435228928,-36670923310299136,-8828746813705828352, %X A012002 954888000296009790464,1122466427244127979911168 %N A012002 arctan(log(cos(x)))=-1/2!*x^2-2/4!*x^4+14/6!*x^6+568/8!*x^8... %R A012002 %O A012002 0,2 %K A012002 sign,done %A A012002 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012003 %S A012003 1,0,3,30,483,12660,492063,26407290,1854592743,162954226920, %T A012003 17150991170523,2051454240374550,254425037609483403, %U A012003 24186909676571913180,3098088521295623020617 %V A012003 1,0,-3,-30,-483,-12660,-492063,-26407290,-1854592743,-162954226920, %W A012003 -17150991170523,-2051454240374550,-254425037609483403, %X A012003 -24186909676571913180,3098088521295623020617 %N A012003 cos(log(cos(x)))=1-3/4!*x^4-30/6!*x^6-483/8!*x^8-12660/10!*x^10... %R A012003 %O A012003 0,3 %K A012003 sign,done %A A012003 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012004 %S A012004 1,2,1,148,61,395702,28299181,93652648,265509939239,14066899733398, %T A012004 8605652824527001,2442549938212838852,25891773268121861099, %U A012004 210295085697229695516898,41730829508760530403823739 %V A012004 -1,-2,-1,148,-61,-395702,-28299181,93652648,265509939239, %W A012004 14066899733398,-8605652824527001,-2442549938212838852, %X A012004 25891773268121861099,210295085697229695516898 %N A012004 arcsinh(log(cos(x)))=-1/2!*x^2-2/4!*x^4-1/6!*x^6+148/8!*x^8-61/10!*x^10... %R A012004 %O A012004 0,2 %K A012004 sign,done %A A012004 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012005 %S A012005 1,2,14,568,9704,229712,35581456,1790014592,72312646784, %T A012005 28603722780928,3039116082823424,154149928667313152, %U A012005 135793191600734657536,25782484156469234296832 %V A012005 -1,-2,14,568,9704,-229712,-35581456,-1790014592,72312646784, %W A012005 28603722780928,3039116082823424,-154149928667313152, %X A012005 -135793191600734657536,-25782484156469234296832 %N A012005 tanh(log(cos(x)))=-1/2!*x^2-2/4!*x^4+14/6!*x^6+568/8!*x^8... %R A012005 %O A012005 0,2 %K A012005 sign,done %A A012005 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012006 %S A012006 1,2,46,1112,63376,4635872,523749136,76049858432,14634264866176, %T A012006 3496967323112192,1032537134569578496,366067157640456292352, %U A012006 154146217678162805226496,75874517780279404503590912 %N A012006 arctanh(log(cos(x)))=-1/2!*x^2-2/4!*x^4-46/6!*x^6-1112/8!*x^8... %R A012006 %O A012006 0,2 %K A012006 sign,done %A A012006 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012007 %S A012007 1,0,3,30,693,25260,1351383,99680490,9695756073,1202439837720, %T A012007 185185594118763,34674437196568950,7757267081778543453, %U A012007 2043536254646561946180,626129820701814932734143 %N A012007 cosh(log(cos(x)))=1+3/4!*x^4+30/6!*x^6+693/8!*x^8+25260/10!*x^10... %R A012007 %O A012007 0,3 %K A012007 nonn %A A012007 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012008 %S A012008 1,0,3,30,1113,50460,3693723,359740290,46791574833,7721990402520, %T A012008 1584990509251443,395230316479830150,117766463267804780553, %U A012008 41313542582787780576180,16856003114804522914769163 %N A012008 sec(log(cos(x)))=1+3/4!*x^4+30/6!*x^6+1113/8!*x^8+50460/10!*x^10... %R A012008 %O A012008 0,3 %K A012008 nonn %A A012008 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012009 %S A012009 1,0,3,30,63,12540,602877,6625710,1991169183,241970036520, %T A012009 7540177734243,2917041754949850,699983161534169697, %U A012009 46722975483964508820,21334067257986056115363 %V A012009 1,0,-3,-30,-63,12540,602877,6625710,-1991169183,-241970036520, %W A012009 -7540177734243,2917041754949850,699983161534169697, %X A012009 46722975483964508820,-21334067257986056115363 %N A012009 sech(log(cos(x)))=1-3/4!*x^4-30/6!*x^6-63/8!*x^8+12540/10!*x^10... %R A012009 %O A012009 0,3 %K A012009 sign,done %A A012009 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012010 %S A012010 1,4,76,3592,317968,45286528,9459412288,2724254181760, %T A012010 1034595588065536,500961002883890176,301230818225601928192, %U A012010 220218226893098691684352,192355329482117756948647936 %V A012010 1,-4,76,-3592,317968,-45286528,9459412288,-2724254181760, %W A012010 1034595588065536,-500961002883890176,301230818225601928192, %X A012010 -220218226893098691684352,192355329482117756948647936 %N A012010 arctan(sin(sin(x)))=x-4/3!*x^3+76/5!*x^5-3592/7!*x^7+317968/9!*x^9... %R A012010 %O A012010 0,2 %K A012010 sign,done %A A012010 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012011 %S A012011 1,3,41,1515,113489,14321299,2716798969,721988679547,255890614389921, %T A012011 116619928299347491,66439023428917759945,46262911349611152912395, %U A012011 38656874720522348065089521,38174286097362174308859703987 %V A012011 1,-3,41,-1515,113489,-14321299,2716798969,-721988679547, %W A012011 255890614389921,-116619928299347491,66439023428917759945, %X A012011 -46262911349611152912395,38656874720522348065089521 %N A012011 arcsinh(sin(sin(x)))=x-3/3!*x^3+41/5!*x^5-1515/7!*x^7+113489/9!*x^9... %R A012011 %O A012011 0,2 %K A012011 sign,done %A A012011 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012012 %S A012012 1,1,3,27,1145,8631,1770123,115778861,4625206001,1652588042607, %T A012012 75500754980077,36232528294816885,8153373987817082007, %U A012012 655897923302322394919,753704651365381460774501 %V A012012 1,1,-3,-27,1145,-8631,-1770123,115778861,4625206001,-1652588042607, %W A012012 75500754980077,36232528294816885,-8153373987817082007, %X A012012 -655897923302322394919,753704651365381460774501 %N A012012 sec(sin(sin(x)))=1+1/2!*x^2-3/4!*x^4-27/6!*x^6+1145/8!*x^8... %R A012012 %O A012012 0,3 %K A012012 sign,done %A A012012 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012013 %S A012013 1,1,13,373,19545,1638569,201324773,34084249501,7606559175089, %T A012013 2164004651794513,764464999664782013,328322677491890500805, %U A012013 168474698667902836871177,101798128590699775451705081 %V A012013 1,-1,13,-373,19545,-1638569,201324773,-34084249501,7606559175089, %W A012013 -2164004651794513,764464999664782013,-328322677491890500805, %X A012013 168474698667902836871177,-101798128590699775451705081 %N A012013 sech(sin(sin(x)))=1-1/2!*x^2+13/4!*x^4-373/6!*x^6+19545/8!*x^8... %R A012013 %O A012013 0,3 %K A012013 sign,done %A A012013 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012014 %S A012014 1,1,1,169,1823,365905,17126303,3688466617,393996411839, %T A012014 109259290725793,20477152840654271,7401734340295771849, %U A012014 2112803982091750971359,978357645904185043693297 %V A012014 1,-1,1,-169,-1823,-365905,-17126303,-3688466617,-393996411839, %W A012014 -109259290725793,-20477152840654271,-7401734340295771849, %X A012014 -2112803982091750971359,-978357645904185043693297 %N A012014 arctan(sin(tan(x)))=x-1/3!*x^3+1/5!*x^5-169/7!*x^7-1823/9!*x^9... %R A012014 %O A012014 0,4 %K A012014 sign,done %A A012014 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012015 %S A012015 1,0,4,192,7600,507136,40159040,4621348864,627047126784, %T A012015 113424912867328,23612736247718912,6196586681702039552, %U A012015 1827473399583593672704,652336666072894806360064 %V A012015 1,0,-4,-192,-7600,-507136,-40159040,-4621348864,-627047126784, %W A012015 -113424912867328,-23612736247718912,-6196586681702039552, %X A012015 -1827473399583593672704,-652336666072894806360064 %N A012015 arcsinh(sin(tan(x)))=x-4/5!*x^5-192/7!*x^7-7600/9!*x^9-507136/11!*x^11... %R A012015 %O A012015 0,3 %K A012015 sign,done %A A012015 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012016 %S A012016 1,3,41,1299,74609,6787811,898506649,163241051315,39007280136801, %T A012016 11866656488375747,4479287777805494665,2054673461380880189779, %U A012016 1125793481954983195433681,726247496033154181534638755 %N A012016 arctanh(sin(tan(x)))=x+3/3!*x^3+41/5!*x^5+1299/7!*x^7+74609/9!*x^9... %R A012016 %O A012016 0,2 %K A012016 nonn %A A012016 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012017 %S A012017 1,1,9,153,2993,72111,33331719,7328604631,1581635839519, %T A012017 356792088521439,81022312424248727,15576441107086727111, %U A012017 22243831754082386577,3229505766853670411015281 %V A012017 1,1,9,153,2993,-72111,-33331719,-7328604631,-1581635839519, %W A012017 -356792088521439,-81022312424248727,-15576441107086727111, %X A012017 22243831754082386577,3229505766853670411015281 %N A012017 sec(sin(tan(x)))=1+1/2!*x^2+9/4!*x^4+153/6!*x^6+2993/8!*x^8... %R A012017 %O A012017 0,3 %K A012017 sign,done %A A012017 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012018 %S A012018 1,1,1,47,897,26911,2176769,269558351,38463601409,6445724731199, %T A012018 1297792574780417,307585734223517551,82426762826906376833, %U A012018 23816926512873022989919,6844111898535212011277057 %V A012018 1,-1,1,47,897,26911,2176769,269558351,38463601409,6445724731199, %W A012018 1297792574780417,307585734223517551,82426762826906376833, %X A012018 23816926512873022989919,6844111898535212011277057 %N A012018 sech(sin(tan(x)))=1-1/2!*x^2+1/4!*x^4+47/6!*x^6+897/8!*x^8... %R A012018 %O A012018 0,4 %K A012018 sign,done %A A012018 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012019 %S A012019 1,1,1,2,11,16,301,104,15287,20096,1239481,4427776,146243459, %T A012019 954111872,23567903269,243390205696,4951201340399,75389245067264, %U A012019 1307274054385393,28248828019830784,420773143716828539 %V A012019 1,1,1,-2,-11,16,301,-104,-15287,-20096,1239481,4427776,-146243459, %W A012019 -954111872,23567903269,243390205696,-4951201340399,-75389245067264, %X A012019 1307274054385393,28248828019830784,-420773143716828539 %N A012019 exp(sin(arctan(x)))=1+x+1/2!*x^2-2/3!*x^3-11/4!*x^4+16/5!*x^5... %R A012019 %O A012019 0,4 %K A012019 sign,done %A A012019 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012020 %S A012020 1,4,76,3256,245008,28441216,4700478784,1047088053376, %T A012020 302112622479616,109527844826856448,48716214653800569856, %U A012020 26075068739563056830464,16529214537740143196901376 %V A012020 1,-4,76,-3256,245008,-28441216,4700478784,-1047088053376, %W A012020 302112622479616,-109527844826856448,48716214653800569856, %X A012020 -26075068739563056830464,16529214537740143196901376 %N A012020 sin(sin(arctan(x)))=x-4/3!*x^3+76/5!*x^5-3256/7!*x^7+245008/9!*x^9... %R A012020 %O A012020 0,2 %K A012020 sign,done %A A012020 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012021 %S A012021 1,1,1,167,14303,1383887,170123615,26560717367,5162935778879, %T A012021 1219537456849055,340794504958201919,109077799391707298759, %U A012021 38112045733323708444959,13139859774638771226676847 %V A012021 1,-1,1,167,-14303,1383887,-170123615,26560717367,-5162935778879, %W A012021 1219537456849055,-340794504958201919,109077799391707298759, %X A012021 -38112045733323708444959,13139859774638771226676847 %N A012021 tan(sin(arctan(x)))=x-1/3!*x^3+1/5!*x^5+167/7!*x^7-14303/9!*x^9... %R A012021 %O A012021 0,4 %K A012021 sign,done %A A012021 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012022 %S A012022 1,5,129,7965,903105,163451925,43259364225,15764670046125, %T A012022 7571150452490625,4634731528895593125,3522824632122301130625, %U A012022 3255279003622294051528125,3593928024032353882700450625 %V A012022 1,-5,129,-7965,903105,-163451925,43259364225,-15764670046125, %W A012022 7571150452490625,-4634731528895593125,3522824632122301130625, %X A012022 -3255279003622294051528125,3593928024032353882700450625 %N A012022 arctan(sin(atan(x)))=x-5/3!*x^3+129/5!*x^5-7965/7!*x^7+903105/9!*x^9... %R A012022 %O A012022 0,2 %K A012022 sign,done %A A012022 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012023 %S A012023 1,1,13,421,25369,2449801,346065061,67243537453,17192488230961, %T A012023 5593309059948049,2255588021494237501,1103994926592923677621, %U A012023 644587811150505183179593,442516027690815793746696601 %V A012023 1,-1,13,-421,25369,-2449801,346065061,-67243537453,17192488230961, %W A012023 -5593309059948049,2255588021494237501,-1103994926592923677621, %X A012023 644587811150505183179593,-442516027690815793746696601 %N A012023 cos(sin(arctan(x)))=1-1/2!*x^2+13/4!*x^4-421/6!*x^6+25369/8!*x^8... %R A012023 %O A012023 0,3 %K A012023 sign,done %A A012023 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012024 %S A012024 1,2,16,104,20096,4427776,954111872,243390205696,75389245067264, %T A012024 28248828019830784,12669814369258471424,6721694045416881553408, %U A012024 4170436153219300846567424,2994608522937575414450814976 %V A012024 1,-2,16,-104,-20096,4427776,-954111872,243390205696,-75389245067264, %W A012024 28248828019830784,-12669814369258471424,6721694045416881553408, %X A012024 -4170436153219300846567424,2994608522937575414450814976 %N A012024 sinh(sin(arctan(x)))=x-2/3!*x^3+16/5!*x^5-104/7!*x^7-20096/9!*x^9... %R A012024 %O A012024 0,2 %K A012024 sign,done %A A012024 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012025 %S A012025 1,4,84,4320,418320,66225600,15657364800,5187108326400, %T A012025 2296766568096000,1310785979158656000,937056917610253440000, %U A012025 820081468493365478400000,862301491174096979765760000 %V A012025 1,-4,84,-4320,418320,-66225600,15657364800,-5187108326400, %W A012025 2296766568096000,-1310785979158656000,937056917610253440000, %X A012025 -820081468493365478400000,862301491174096979765760000 %N A012025 arcsinh(sin(arctan(x)))=x-4/3!*x^3+84/5!*x^5-4320/7!*x^7+418320/9!*x^9... %R A012025 %O A012025 0,2 %K A012025 sign,done %A A012025 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012026 %S A012026 1,5,121,6677,651985,98741477,21378584137,6259615830197, %T A012026 2380487154907681,1140222272527932869,671453734616884934041, %U A012026 476714184862146843059285,401522701697360654591942641 %V A012026 1,-5,121,-6677,651985,-98741477,21378584137,-6259615830197, %W A012026 2380487154907681,-1140222272527932869,671453734616884934041, %X A012026 -476714184862146843059285,401522701697360654591942641 %N A012026 tanh(sin(arctan(x)))=x-5/3!*x^3+121/5!*x^5-6677/7!*x^7+651985/9!*x^9... %R A012026 %O A012026 0,2 %K A012026 sign,done %A A012026 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012027 %S A012027 1,1,11,301,15287,1239481,146243459,23567903269,4951201340399, %T A012027 1307274054385393,420773143716828539,160635990248839962781, %U A012027 70764171306270411101351,34822234810202848704345001 %V A012027 1,1,-11,301,-15287,1239481,-146243459,23567903269,-4951201340399, %W A012027 1307274054385393,-420773143716828539,160635990248839962781, %X A012027 -70764171306270411101351,34822234810202848704345001 %N A012027 cosh(sin(arctan(x)))=1+1/2!*x^2-11/4!*x^4+301/6!*x^6-15287/8!*x^8... %R A012027 %O A012027 0,3 %K A012027 sign,done %A A012027 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012028 %S A012028 1,1,7,121,3823,186961,12464695,967217161,51115216735,15922673810399, %T A012028 12685061907297305,7463929930799687399,4531120544938557395633, %U A012028 3032728078954072676445839,2280697214718071127895033577 %V A012028 1,1,-7,121,-3823,186961,-12464695,967217161,-51115216735, %W A012028 -15922673810399,12685061907297305,-7463929930799687399, %X A012028 4531120544938557395633,-3032728078954072676445839 %N A012028 sec(sin(arctan(x)))=1+1/2!*x^2-7/4!*x^4+121/6!*x^6-3823/8!*x^8... %R A012028 %O A012028 0,3 %K A012028 sign,done %A A012028 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012029 %S A012029 1,1,17,721,56993,7232161,1344866225,344599447921,116382225519425, %T A012029 50097660050713921,26773024797675332945,17392081348966913859601, %U A012029 13497082647397365780254177,12332627560512389276277512161 %V A012029 1,-1,17,-721,56993,-7232161,1344866225,-344599447921, %W A012029 116382225519425,-50097660050713921,26773024797675332945, %X A012029 -17392081348966913859601,13497082647397365780254177 %N A012029 sech(sin(arctan(x)))=1-1/2!*x^2+17/4!*x^4-721/6!*x^6+56993/8!*x^8... %R A012029 %O A012029 0,3 %K A012029 sign,done %A A012029 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012030 %S A012030 1,2,16,440,20224,1582976,178612864,27969867008,5765737517056, %T A012030 1516228355846144,495092243779256320,196552136456231321600, %U A012030 93232152295610535018496,52074797114273752377786368 %V A012030 1,-2,16,-440,20224,-1582976,178612864,-27969867008,5765737517056, %W A012030 -1516228355846144,495092243779256320,-196552136456231321600, %X A012030 93232152295610535018496,-52074797114273752377786368 %N A012030 arctan(sin(sinh(x)))=x-2/3!*x^3+16/5!*x^5-440/7!*x^7+20224/9!*x^9... %R A012030 %O A012030 0,2 %K A012030 sign,done %A A012030 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012031 %S A012031 1,1,1,113,4033,307297,32041153,4722808145,919792817281, %T A012031 229762987386049,71595055755086977,27226195625057526833, %U A012031 12411835138553868048961,6681718218812850626513185 %V A012031 1,-1,1,-113,4033,-307297,32041153,-4722808145,919792817281, %W A012031 -229762987386049,71595055755086977,-27226195625057526833, %X A012031 12411835138553868048961,-6681718218812850626513185 %N A012031 arcsinh(sin(sinh(x)))=x-1/3!*x^3+1/5!*x^5-113/7!*x^7+4033/9!*x^9... %R A012031 %O A012031 0,4 %K A012031 sign,done %A A012031 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012032 %S A012032 1,1,5,13,1303,97351,5539667,182565627,23677748561,8153921374705, %T A012032 1571128609968341,190412412110488701,16146953133290647751, %U A012032 22882305147029329939799,10458605461178439407036291 %V A012032 1,1,5,13,-1303,-97351,-5539667,-182565627,23677748561, %W A012032 8153921374705,1571128609968341,190412412110488701, %X A012032 -16146953133290647751,-22882305147029329939799 %N A012032 sec(sin(sinh(x)))=1+1/2!*x^2+5/4!*x^4+13/6!*x^6-1303/8!*x^8... %R A012032 %O A012032 0,3 %K A012032 sign,done %A A012032 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012033 %S A012033 1,1,5,13,407,30151,1142483,19202427,3747342929,722092683505, %T A012033 76341208430549,2313301317273981,1769780901329435719, %U A012033 628518840135423728599,125498832189487922441219 %V A012033 1,-1,5,-13,-407,30151,-1142483,19202427,3747342929,-722092683505, %W A012033 76341208430549,-2313301317273981,-1769780901329435719, %X A012033 628518840135423728599,-125498832189487922441219 %N A012033 sech(sin(sinh(x)))=1-1/2!*x^2+5/4!*x^4-13/6!*x^6-407/8!*x^8... %R A012033 %O A012033 0,3 %K A012033 sign,done %A A012033 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012034 %S A012034 1,1,1,1,7,1,121,111,4271,9407,262801,957791,25257079,131065791, %T A012034 3510517193,23876150351,667413187039,5645293077119,166471455235489, %U A012034 1689130316350143,52750545434135399,625455343415905919 %V A012034 1,1,1,-1,-7,1,121,111,-4271,-9407,262801,957791,-25257079, %W A012034 -131065791,3510517193,23876150351,-667413187039,-5645293077119, %X A012034 166471455235489,1689130316350143,-52750545434135399 %N A012034 exp(sin(arcsinh(x)))=1+x+1/2!*x^2-1/3!*x^3-7/4!*x^4+1/5!*x^5... %R A012034 %O A012034 0,5 %K A012034 sign,done %A A012034 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012035 %S A012035 1,3,41,1291,73169,6551251,852920953,152425617371,35839758063521, %T A012035 10733139641944739,3990221478883366601,1803635523024068325803, %U A012035 974372554797510153337201,620102748294205442507886451 %V A012035 1,-3,41,-1291,73169,-6551251,852920953,-152425617371, %W A012035 35839758063521,-10733139641944739,3990221478883366601, %X A012035 -1803635523024068325803,974372554797510153337201 %N A012035 sin(sin(arcsinh(x)))=x-3/3!*x^3+41/5!*x^5-1291/7!*x^7+73169/9!*x^9... %R A012035 %O A012035 0,2 %K A012035 sign,done %A A012035 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012036 %S A012036 1,0,4,32,80,34048,5048512,984048128,246504417536,76892124225536, %T A012036 29350173573487616,13506119868179701760,7388967312556159062016, %U A012036 4745632815309786449379328,3538391474251613805070172160 %V A012036 1,0,-4,32,80,-34048,5048512,-984048128,246504417536,-76892124225536, %W A012036 29350173573487616,-13506119868179701760,7388967312556159062016, %X A012036 -4745632815309786449379328,3538391474251613805070172160 %N A012036 tan(sin(arcsinh(x)))=x-4/5!*x^5+32/7!*x^7+80/9!*x^9-34048/11!*x^11... %R A012036 %O A012036 0,3 %K A012036 sign,done %A A012036 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012037 %S A012037 1,4,84,4320,410640,62424000,13882209600,4250758886400, %T A012037 1715097849504000,881945575315584000,563062441711086720000, %U A012037 436991853893041873920000,405186856780938968885760000 %V A012037 1,-4,84,-4320,410640,-62424000,13882209600,-4250758886400, %W A012037 1715097849504000,-881945575315584000,563062441711086720000, %X A012037 -436991853893041873920000,405186856780938968885760000 %N A012037 arctan(sin(arcsinh(x)))=x-4/3!*x^3+84/5!*x^5-4320/7!*x^7+410640/9!*x^9... %R A012037 %O A012037 0,2 %K A012037 sign,done %A A012037 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012038 %S A012038 1,1,9,201,8753,634481,69292281,10655767929,2197620415201, %T A012038 585914236294753,196238045270790761,80691386297887323561, %U A012038 39976011626025680236049,23490521419525456192130001 %V A012038 1,-1,9,-201,8753,-634481,69292281,-10655767929,2197620415201, %W A012038 -585914236294753,196238045270790761,-80691386297887323561, %X A012038 39976011626025680236049,-23490521419525456192130001 %N A012038 cos(sin(arcsinh(x)))=1-1/2!*x^2+9/4!*x^4-201/6!*x^6+8753/8!*x^8... %R A012038 %O A012038 0,3 %K A012038 sign,done %A A012038 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012039 %S A012039 1,1,1,111,9407,957791,131065791,23876150351,5645293077119, %T A012039 1689130316350143,625455343415905919,281176376077651011119, %U A012039 150982531394396522439999,95493861079696805301099551 %V A012039 1,-1,1,111,-9407,957791,-131065791,23876150351,-5645293077119, %W A012039 1689130316350143,-625455343415905919,281176376077651011119, %X A012039 -150982531394396522439999,95493861079696805301099551 %N A012039 sinh(sin(arcsinh(x)))=x-1/3!*x^3+1/5!*x^5+111/7!*x^7-9407/9!*x^9... %R A012039 %O A012039 0,4 %K A012039 sign,done %A A012039 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012040 %S A012040 1,3,49,2075,168865,22606675,4522468625,1266169501675, %T A012040 473063766306625,227507081427747875,136918092950286480625, %U A012040 100805803028947763426875,89129323309512937147750625 %V A012040 1,-3,49,-2075,168865,-22606675,4522468625,-1266169501675, %W A012040 473063766306625,-227507081427747875,136918092950286480625, %X A012040 -100805803028947763426875,89129323309512937147750625 %N A012040 arcsinh(sin(arcsinh(x)))=x-3/3!*x^3+49/5!*x^5-2075/7!*x^7+168865/9!*x^9... %R A012040 %O A012040 0,2 %K A012040 sign,done %A A012040 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012041 %S A012041 1,4,76,3312,255952,30728512,5281229760,1228900532992, %T A012041 371761489090816,141763213277045760,66504626862819552256, %U A012041 37635004127910391803904,25277676503178610861756416 %V A012041 1,-4,76,-3312,255952,-30728512,5281229760,-1228900532992, %W A012041 371761489090816,-141763213277045760,66504626862819552256, %X A012041 -37635004127910391803904,25277676503178610861756416 %N A012041 tanh(sin(arcsinh(x)))=x-4/3!*x^3+76/5!*x^5-3312/7!*x^7+255952/9!*x^9... %R A012041 %O A012041 0,2 %K A012041 sign,done %A A012041 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012042 %S A012042 1,0,4,80,4240,342400,41806400,7093216000,1601470624000, %T A012042 464003651072000,167847611351680000,74143433704737280000, %U A012042 39275771932443138560000,24575763662119940608000000 %V A012042 1,0,4,-80,4240,-342400,41806400,-7093216000,1601470624000, %W A012042 -464003651072000,167847611351680000,-74143433704737280000, %X A012042 39275771932443138560000,-24575763662119940608000000 %N A012042 arctanh(sin(arcsinh(x)))=x+4/5!*x^5-80/7!*x^7+4240/9!*x^9-342400/11!*x^11... %R A012042 %O A012042 0,3 %K A012042 sign,done %A A012042 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012043 %S A012043 1,1,7,121,4271,262801,25257079,3510517193,667413187039, %T A012043 166471455235489,52750545434135399,20700581434214572441, %U A012043 9854557734715140280207,5594838313934367657655601 %V A012043 1,1,-7,121,-4271,262801,-25257079,3510517193,-667413187039, %W A012043 166471455235489,-52750545434135399,20700581434214572441, %X A012043 -9854557734715140280207,5594838313934367657655601 %N A012043 cosh(sin(arcsinh(x)))=1+1/2!*x^2-7/4!*x^4+121/6!*x^6-4271/8!*x^8... %R A012043 %O A012043 0,3 %K A012043 sign,done %A A012043 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012044 %S A012044 1,1,3,21,647,45161,4655115,671831421,131445679375,33601481453521, %T A012044 10874248371483155,4345212201159011301,2101132542287329737623, %U A012044 1209250716473417141359161,816850915067446388852584987 %V A012044 1,1,-3,21,-647,45161,-4655115,671831421,-131445679375, %W A012044 33601481453521,-10874248371483155,4345212201159011301, %X A012044 -2101132542287329737623,1209250716473417141359161 %N A012044 sec(sin(arcsinh(x)))=1+1/2!*x^2-3/4!*x^4+21/6!*x^6-647/8!*x^8... %R A012044 %O A012044 0,3 %K A012044 sign,done %A A012044 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012045 %S A012045 1,1,13,421,25817,2565961,375964645,76201822061,20411701862065, %T A012045 6981810963526801,2968895846823113405,1536132530083569544501, %U A012045 950209903347072336087433,692439473656550310042291161 %V A012045 1,-1,13,-421,25817,-2565961,375964645,-76201822061,20411701862065, %W A012045 -6981810963526801,2968895846823113405,-1536132530083569544501, %X A012045 950209903347072336087433,-692439473656550310042291161 %N A012045 sech(sin(arcsinh(x)))=1-1/2!*x^2+13/4!*x^4-421/6!*x^6+25817/8!*x^8... %R A012045 %O A012045 0,3 %K A012045 sign,done %A A012045 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012046 %S A012046 1,5,121,7013,752785,129763589,32812992265,11441858264741, %T A012046 5261501926546081,3084889329990554117,2246121092328414171673, %U A012046 1988316104656824914919653,2102978545788269109358313521 %V A012046 1,-5,121,-7013,752785,-129763589,32812992265,-11441858264741, %W A012046 5261501926546081,-3084889329990554117,2246121092328414171673, %X A012046 -1988316104656824914919653,2102978545788269109358313521 %N A012046 arctan(sin(tanh(x)))=x-5/3!*x^3+121/5!*x^5-7013/7!*x^7+752785/9!*x^9... %R A012046 %O A012046 0,2 %K A012046 sign,done %A A012046 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012047 %S A012047 1,4,76,3536,317392,47590720,10785422272,3441103532288, %T A012047 1468657322465536,807408622401283072,555453404529224756224, %U A012047 467352773254586231115776,472081158536303158224572416 %V A012047 1,-4,76,-3536,317392,-47590720,10785422272,-3441103532288, %W A012047 1468657322465536,-807408622401283072,555453404529224756224, %X A012047 -467352773254586231115776,472081158536303158224572416 %N A012047 arcsinh(sin(tanh(x)))=x-4/3!*x^3+76/5!*x^5-3536/7!*x^7+317392/9!*x^9... %R A012047 %O A012047 0,2 %K A012047 sign,done %A A012047 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012048 %S A012048 1,1,1,55,2207,79727,2834207,81045991,1107720001,715785186337, %T A012048 165075476417857,44818254949260905,14626040239803925921, %U A012048 5177396773524357363889,1885895392048206524730145 %V A012048 1,-1,1,55,-2207,79727,-2834207,81045991,1107720001,-715785186337, %W A012048 165075476417857,-44818254949260905,14626040239803925921, %X A012048 -5177396773524357363889,1885895392048206524730145 %N A012048 arctanh(sin(tanh(x)))=x-1/3!*x^3+1/5!*x^5+55/7!*x^7-2207/9!*x^9... %R A012048 %O A012048 0,4 %K A012048 sign,done %A A012048 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012049 %S A012049 1,1,7,73,209,144271,16935049,1681509255,121927140641,7429711841377, %T A012049 7368737635468135,2672443484700215337,714451608564077085455, %U A012049 102412390388191040345041,45342663705298790615837737 %V A012049 1,1,-7,73,209,-144271,16935049,-1681509255,121927140641, %W A012049 7429711841377,-7368737635468135,2672443484700215337, %X A012049 -714451608564077085455,102412390388191040345041 %N A012049 sec(sin(tanh(x)))=1+1/2!*x^2-7/4!*x^4+73/6!*x^6+209/8!*x^8... %R A012049 %O A012049 0,3 %K A012049 sign,done %A A012049 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012050 %S A012050 1,1,17,673,48481,5556929,930399601,214412110305,65104843008449, %T A012050 25194079035190657,12104203127776694225,7069126951831617433377, %U A012050 4932323527151866597114145,4052159085639349626953573441 %V A012050 1,-1,17,-673,48481,-5556929,930399601,-214412110305,65104843008449, %W A012050 -25194079035190657,12104203127776694225,-7069126951831617433377, %X A012050 4932323527151866597114145,-4052159085639349626953573441 %N A012050 sech(sin(tanh(x)))=1-1/2!*x^2+17/4!*x^4-673/6!*x^6+48481/8!*x^8... %R A012050 %O A012050 0,3 %K A012050 sign,done %A A012050 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012051 %S A012051 1,1,1,2,5,16,61,216,937,1280,34919,1141504,13257619,263392128, %T A012051 3269873515,64804059904,890367567919,18858549039104,286428853272143, %U A012051 6592583427379200,109915623105978539,2757743938862710784 %V A012051 1,1,1,2,5,16,61,216,937,-1280,-34919,-1141504,-13257619,-263392128, %W A012051 -3269873515,-64804059904,-890367567919,-18858549039104, %X A012051 -286428853272143,-6592583427379200,-109915623105978539 %N A012051 exp(sin(arctanh(x)))=1+x+1/2!*x^2+2/3!*x^3+5/4!*x^4+16/5!*x^5... %R A012051 %O A012051 0,4 %K A012051 sign,done %A A012051 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012052 %S A012052 1,0,4,136,7408,644416,84562880,15811723136,4005496370944, %T A012052 1317763889887232,544096638435718144,274416039275290634240, %U A012052 165481485047921126273024,117299354914466636092850176 %V A012052 1,0,-4,-136,-7408,-644416,-84562880,-15811723136,-4005496370944, %W A012052 -1317763889887232,-544096638435718144,-274416039275290634240, %X A012052 -165481485047921126273024,-117299354914466636092850176 %N A012052 sin(sin(arctanh(x)))=x-4/5!*x^5-136/7!*x^7-7408/9!*x^9-644416/11!*x^11... %R A012052 %O A012052 0,3 %K A012052 sign,done %A A012052 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012053 %S A012053 1,3,41,1187,54449,3092867,95391193,48911197853,28872742806559, %T A012053 14158572958744829,7331436852140378359,4214348760692049240797, %U A012053 2723345361371865447323759,1980230597926036207884317053 %V A012053 1,3,41,1187,54449,3092867,95391193,-48911197853,-28872742806559, %W A012053 -14158572958744829,-7331436852140378359,-4214348760692049240797, %X A012053 -2723345361371865447323759,-1980230597926036207884317053 %N A012053 tan(sin(arctanh(x)))=x+3/3!*x^3+41/5!*x^5+1187/7!*x^7+54449/9!*x^9... %R A012053 %O A012053 0,2 %K A012053 sign,done %A A012053 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012054 %S A012054 1,1,9,225,3345,893025,36212775,20892252225,3614048241375, %T A012054 1664630362370625,584598534985164375,327627617091486830625, %U A012054 181787523574523506599375,131875411531849225343390625 %V A012054 1,-1,9,-225,3345,-893025,-36212775,-20892252225,-3614048241375, %W A012054 -1664630362370625,-584598534985164375,-327627617091486830625, %X A012054 -181787523574523506599375,-131875411531849225343390625 %N A012054 arctan(sin(atanh(x)))=x-1/3!*x^3+9/5!*x^5-225/7!*x^7+3345/9!*x^9... %R A012054 %O A012054 0,3 %K A012054 sign,done %A A012054 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012055 %S A012055 1,1,3,21,185,67159,11805621,2380474563,591392066161,181472052075695, %T A012055 68002767860495981,30687549807072450459,16452262725440109947177, %U A012055 10350119384788050029211399,7556581453368353963560485925 %V A012055 1,-1,-3,-21,185,67159,11805621,2380474563,591392066161, %W A012055 181472052075695,68002767860495981,30687549807072450459, %X A012055 16452262725440109947177,10350119384788050029211399 %N A012055 cos(sin(arctanh(x)))=1-1/2!*x^2-3/4!*x^4-21/6!*x^6+185/8!*x^8... %R A012055 %O A012055 0,3 %K A012055 sign,done %A A012055 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012056 %S A012056 1,2,16,216,1280,1141504,263392128,64804059904,18858549039104, %T A012056 6592583427379200,2757743938862710784,1367930584522073079808, %U A012056 796483574916192660455424,539009967859883250211815424 %V A012056 1,2,16,216,-1280,-1141504,-263392128,-64804059904,-18858549039104, %W A012056 -6592583427379200,-2757743938862710784,-1367930584522073079808, %X A012056 -796483574916192660455424,-539009967859883250211815424 %N A012056 sinh(sin(arctanh(x)))=x+2/3!*x^3+16/5!*x^5+216/7!*x^7-1280/9!*x^9... %R A012056 %O A012056 0,2 %K A012056 sign,done %A A012056 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012057 %S A012057 1,0,4,80,3440,764800,107953600,25833184000,6745073504000, %T A012057 2368021859840000,968030415297920000,487629248007416320000, %U A012057 285882353240737277440000,197729299896592542208000000 %V A012057 1,0,4,-80,-3440,-764800,-107953600,-25833184000,-6745073504000, %W A012057 -2368021859840000,-968030415297920000,-487629248007416320000, %X A012057 -285882353240737277440000,-197729299896592542208000000 %N A012057 arcsinh(sin(arctanh(x)))=x+4/5!*x^5-80/7!*x^7-3440/9!*x^9-764800/11!*x^11... %R A012057 %O A012057 0,3 %K A012057 sign,done %A A012057 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012058 %S A012058 1,1,1,57,3167,362737,56653791,11948396137,3257340575039, %T A012058 1115453379837153,468755833785218879,237209057387611844761, %U A012058 142289210803187916748959,99838786688751535495417297 %V A012058 1,-1,1,-57,-3167,-362737,-56653791,-11948396137,-3257340575039, %W A012058 -1115453379837153,-468755833785218879,-237209057387611844761, %X A012058 -142289210803187916748959,-99838786688751535495417297 %N A012058 tanh(sin(arctanh(x)))=x-1/3!*x^3+1/5!*x^5-57/7!*x^7-3167/9!*x^9... %R A012058 %O A012058 0,4 %K A012058 sign,done %A A012058 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012059 %S A012059 1,3,49,1915,136225,15321875,2499086225,557414129675,162944338818625, %T A012059 60444849108947875,27742201644414960625,15435312024168291246875, %U A012059 10237075067482444345750625,7979873933940396519383421875 %N A012059 arctanh(sin(atanh(x)))=x+3/3!*x^3+49/5!*x^5+1915/7!*x^7+136225/9!*x^9... %R A012059 %O A012059 0,2 %K A012059 nonn %A A012059 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012060 %S A012060 1,1,5,61,937,34919,13257619,3269873515,890367567919,286428853272143, %T A012060 109915623105978539,50081947723080008339,26861824093922170259335, %U A012060 16800404374717805427318199,12140770340638689201457472323 %V A012060 1,1,5,61,937,-34919,-13257619,-3269873515,-890367567919, %W A012060 -286428853272143,-109915623105978539,-50081947723080008339, %X A012060 -26861824093922170259335,-16800404374717805427318199 %N A012060 cosh(sin(arctanh(x)))=1+1/2!*x^2+5/4!*x^4+61/6!*x^6+937/8!*x^8... %R A012060 %O A012060 0,3 %K A012060 sign,done %A A012060 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012061 %S A012061 1,1,9,201,7921,447281,28121145,230243001,940995291295, %T A012061 539358796035359,280768914546419735,156059839698555664599, %U A012061 96215805882840361663151,66431831409927100446899439 %V A012061 1,1,9,201,7921,447281,28121145,230243001,-940995291295, %W A012061 -539358796035359,-280768914546419735,-156059839698555664599, %X A012061 -96215805882840361663151,-66431831409927100446899439 %N A012061 sec(sin(arctanh(x)))=1+1/2!*x^2+9/4!*x^4+201/6!*x^6+7921/8!*x^8... %R A012061 %O A012061 0,3 %K A012061 sign,done %A A012061 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012062 %S A012062 1,1,1,1,449,45119,6456385,1205597119,290952557185,88525830844799, %T A012062 33241403103347585,15120239602445366399,8199386238595549354561, %U A012062 5228782379279703730965439,3875091407041220683147290049 %V A012062 1,-1,1,-1,449,45119,6456385,1205597119,290952557185,88525830844799, %W A012062 33241403103347585,15120239602445366399,8199386238595549354561, %X A012062 5228782379279703730965439,3875091407041220683147290049 %N A012062 sech(sin(arctanh(x)))=1-1/2!*x^2+1/4!*x^4-1/6!*x^6+449/8!*x^8... %R A012062 %O A012062 0,5 %K A012062 sign,done %A A012062 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012063 %S A012063 1,1,1,3,9,49,249,1963,14129,146017,1362961,17450227,200409465, %T A012063 3064381137,41812246345,744091967643,11765081428705,239039270010305, %U A012063 4298599985014945,98237724213189475,1980239469431883625 %N A012063 exp(arcsin(arcsin(x)))=1+x+1/2!*x^2+3/3!*x^3+9/4!*x^4+49/5!*x^5... %R A012063 %O A012063 0,4 %K A012063 nonn %A A012063 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012064 %S A012064 1,3,57,2747,249777,36846835,8040193769,2437436057131, %T A012064 981033890934369,506479242594080227,326455632550618599065, %U A012064 257043518901496857566107,242838347551317678123524113 %N A012064 arcsin(arcsin(arcsin(x)))=x+3/3!*x^3+57/5!*x^5+2747/7!*x^7+249777/9!*x^9... %R A012064 %O A012064 0,2 %K A012064 nonn %A A012064 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012065 %S A012065 1,4,84,4152,370128,51861888,10494283968,2894815734912, %T A012065 1043916757274880,476720372375608320,268870416029396075520, %U A012065 183537887154798761809920,149132786692921038502318080 %N A012065 tan(arcsin(arcsin(x)))=x+4/3!*x^3+84/5!*x^5+4152/7!*x^7+370128/9!*x^9... %R A012065 %O A012065 0,2 %K A012065 nonn %A A012065 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012066 %S A012066 1,0,12,248,21648,2241088,390536000,91111189120,28811937609984, %T A012066 11657540060256256,5912796798580972544,3665610214092467574784, %U A012066 2729315998404117133692928,2402622277659457905178820608 %N A012066 arctan(arcsin(arcsin(x)))=x+12/5!*x^5+248/7!*x^7+21648/9!*x^9... %R A012066 %O A012066 0,3 %K A012066 nonn %A A012066 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012067 %S A012067 1,1,7,169,8751,789681,110381943,22142611737,6041067843807, %T A012067 2153812782224097,972958293249140583,543350342541113761545, %U A012067 367659108914973687690255,296447255926407313341954705 %V A012067 1,-1,-7,-169,-8751,-789681,-110381943,-22142611737,-6041067843807, %W A012067 -2153812782224097,-972958293249140583,-543350342541113761545, %X A012067 -367659108914973687690255,-296447255926407313341954705 %N A012067 cos(arcsin(arcsin(x)))=1-1/2!*x^2-7/4!*x^4-169/6!*x^6-8751/8!*x^8... %R A012067 %O A012067 0,3 %K A012067 sign,done %A A012067 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012068 %S A012068 1,3,49,1963,146017,17450227,3064381137,744091967643,239039270010305, %T A012068 98237724213189475,50300088100727103345,31409480786365735560715, %U A012068 23501653583412713065987105,20761459048626350764508502355 %N A012068 sinh(arcsin(arcsin(x)))=x+3/3!*x^3+49/5!*x^5+1963/7!*x^7+146017/9!*x^9... %R A012068 %O A012068 0,2 %K A012068 nonn %A A012068 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012069 %S A012069 1,1,17,561,39521,4429217,749371633,176540328017,55517224330689, %T A012069 22448523976439873,11356291769744087761,7026618486154627990385, %U A012069 5220988665867670545052193,4587518335717939527563335649 %N A012069 arcsinh(arcsin(arcsin(x)))=x+1/3!*x^3+17/5!*x^5+561/7!*x^7+39521/9!*x^9... %R A012069 %O A012069 0,3 %K A012069 nonn %A A012069 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012070 %S A012070 1,0,4,136,9424,1075264,183697344,43928797056,14007826346240, %T A012070 5742582570096640,2941974233347077120,1841370038568483235840, %U A012070 1382314169497713897656320,1225713884449600233499770880 %N A012070 tanh(arcsin(arcsin(x)))=x+4/5!*x^5+136/7!*x^7+9424/9!*x^9... %R A012070 %O A012070 0,3 %K A012070 nonn %A A012070 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012071 %S A012071 1,4,92,5160,532880,87726464,21073486912,6956206790528, %T A012071 3020988238174464,1670080968001854464,1145224829994344492032, %U A012071 953987340413779610175488,948917210079076407043002368 %N A012071 arctanh(arcsin(arcsin(x)))=x+4/3!*x^3+92/5!*x^5+5160/7!*x^7+532880/9!*x^9... %R A012071 %O A012071 0,2 %K A012071 nonn %A A012071 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012072 %S A012072 1,1,9,249,14129,1362961,200409465,41812246345,11765081428705, %T A012072 4298599985014945,1980239469431883625,1123437678322006300185, %U A012072 769950079011855688807185,627326819278687159338591665 %N A012072 cosh(arcsin(arcsin(x)))=1+1/2!*x^2+9/4!*x^4+249/6!*x^6+14129/8!*x^8... %R A012072 %O A012072 0,3 %K A012072 nonn %A A012072 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012073 %S A012073 1,1,13,469,32985,3818601,658371429,158197312701,50529852678321, %T A012073 20707179214389201,10591085815045781949,6613325759240221954725, %U A012073 4951199941339632477906825,4377912560491798717856660025 %N A012073 sec(arcsin(arcsin(x)))=1+1/2!*x^2+13/4!*x^4+469/6!*x^6+32985/8!*x^8... %R A012073 %O A012073 0,3 %K A012073 nonn %A A012073 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012074 %S A012074 1,1,3,69,3335,289801,39612939,7845054541,2125704833551, %T A012074 755532171928081,341044077485199379,190581499954444336725, %U A012074 129146418452087275163415,104328785204254369631603225 %V A012074 1,-1,-3,-69,-3335,-289801,-39612939,-7845054541,-2125704833551, %W A012074 -755532171928081,-341044077485199379,-190581499954444336725, %X A012074 -129146418452087275163415,-104328785204254369631603225 %N A012074 sech(arcsin(arcsin(x)))=1-1/2!*x^2-3/4!*x^4-69/6!*x^6-3335/8!*x^8... %R A012074 %O A012074 0,3 %K A012074 sign,done %A A012074 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012075 %S A012075 1,1,1,4,13,76,421,3424,26713,285136,2871241,38302144,473357413, %T A012075 7603381696,111506036461,2097552753664,35624155784113, %U A012075 768471264000256,14838126699784081,361133162545705984 %N A012075 exp(arcsin(tan(x)))=1+x+1/2!*x^2+4/3!*x^3+13/4!*x^4+76/5!*x^5... %R A012075 %O A012075 0,4 %K A012075 nonn %A A012075 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012076 %S A012076 1,4,84,4488,458448,76530048,18958160064,6533187385728, %T A012076 2990371546714368,1755799654033628160,1286962755283219153920, %U A012076 1152156355072706267179008,1237421224352190570236497920 %N A012076 arcsin(arcsin(tan(x)))=x+4/3!*x^3+84/5!*x^5+4488/7!*x^7+458448/9!*x^9... %R A012076 %O A012076 0,2 %K A012076 nonn %A A012076 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012077 %S A012077 1,5,121,6845,698161,111973685,25947503401,8200346492525, %T A012077 3389281372287841,1774459993676715365,1147649139272698443481, %U A012077 898537335398420151634205,837511978485668107020082321 %N A012077 tan(arcsin(tan(x)))=x+5/3!*x^3+121/5!*x^5+6845/7!*x^7+698161/9!*x^9... %R A012077 %O A012077 0,2 %K A012077 nonn %A A012077 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012078 %S A012078 1,1,9,393,33009,4410033,872617017,240500373753,88094910348129, %T A012078 41401437242599905,24287046275803547625,17396048031084882189033, %U A012078 14941352753081733849348945,15157924050230673397966293393 %N A012078 arctan(arcsin(tan(x)))=x+1/3!*x^3+9/5!*x^5+393/7!*x^7+33009/9!*x^9... %R A012078 %O A012078 0,3 %K A012078 nonn %A A012078 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012079 %S A012079 1,1,11,301,16631,1620601,250557251,56629836901,17602836565871, %T A012079 7193368568377201,3735581618747946491,2401310609311293289501, %U A012079 1871136400199563216523111,1737384477758027314448941801 %V A012079 1,-1,-11,-301,-16631,-1620601,-250557251,-56629836901, %W A012079 -17602836565871,-7193368568377201,-3735581618747946491, %X A012079 -2401310609311293289501,-1871136400199563216523111 %N A012079 cos(arcsin(tan(x)))=1-1/2!*x^2-11/4!*x^4-301/6!*x^6-16631/8!*x^8... %R A012079 %O A012079 0,3 %K A012079 sign,done %A A012079 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012080 %S A012080 1,4,76,3424,285136,38302144,7603381696,2097552753664, %T A012080 768471264000256,361133162545705984,211820037816772258816, %U A012080 151696192774576615727104,130270853179191716758245376 %N A012080 sinh(arcsin(tan(x)))=x+4/3!*x^3+76/5!*x^5+3424/7!*x^7+285136/9!*x^9... %R A012080 %O A012080 0,2 %K A012080 nonn %A A012080 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012081 %S A012081 1,2,24,888,68352,8853888,1724221056,470304668928,171029448056832, %T A012081 79950698284462080,46709069479002931200,33347332565041919950848, %U A012081 28565775294718770340331520,28915860353300526164581613568 %N A012081 arcsinh(arcsin(tan(x)))=x+2/3!*x^3+24/5!*x^5+888/7!*x^7+68352/9!*x^9... %R A012081 %O A012081 0,2 %K A012081 nonn %A A012081 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012082 %S A012082 1,1,1,1,7681,1689601,390274561,113644876801,42729427952641, %T A012082 20428848924057601,12142755781873873921,8789483754515321088001, %U A012082 7614001483915573936550401,7778864404689826961021184001 %N A012082 tanh(arcsin(tan(x)))=x+1/3!*x^3+1/5!*x^5+1/7!*x^7+7681/9!*x^9... %R A012082 %O A012082 0,5 %K A012082 nonn %A A012082 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012083 %S A012083 1,5,129,8133,949281,177127653,48290752353,18102997908453, %T A012083 8931245615625921,5609823664317348165,4370983985597526359745, %U A012083 4137308650120582099800453,4676183786000402886175691745 %N A012083 arctanh(arcsin(tan(x)))=x+5/3!*x^3+129/5!*x^5+8133/7!*x^7+949281/9!*x^9... %R A012083 %O A012083 0,2 %K A012083 nonn %A A012083 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012084 %S A012084 1,1,13,421,26713,2871241,473357413,111506036461,35624155784113, %T A012084 14838126699784081,7813931867856058813,5076900281143623362101, %U A012084 3989607021222775392853513,3730016905780866035656178521 %N A012084 cosh(arcsin(tan(x)))=1+1/2!*x^2+13/4!*x^4+421/6!*x^6+26713/8!*x^8... %R A012084 %O A012084 0,3 %K A012084 nonn %A A012084 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012085 %S A012085 1,1,17,721,58337,7734241,1526099057,419784870961,153563504618177, %T A012085 72104198836466881,42270463533824671697,30262124466958766778001, %U A012085 25981973075048213029395617,26350476755161831091778460321 %N A012085 sec(arcsin(tan(x)))=1+1/2!*x^2+17/4!*x^4+721/6!*x^6+58337/8!*x^8... %R A012085 %O A012085 0,3 %K A012085 nonn %A A012085 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012086 %S A012086 1,1,7,121,5167,487441,78804727,18558463561,5919443326687, %T A012086 2457116797560481,1289150916753299047,834798631079038210201, %U A012086 654139310316332313889807,610085118687493622960844721 %V A012086 1,-1,-7,-121,-5167,-487441,-78804727,-18558463561,-5919443326687, %W A012086 -2457116797560481,-1289150916753299047,-834798631079038210201, %X A012086 -654139310316332313889807,-610085118687493622960844721 %N A012086 sech(arcsin(tan(x)))=1-1/2!*x^2-7/4!*x^4-121/6!*x^6-5167/8!*x^8... %R A012086 %O A012086 0,3 %K A012086 sign,done %A A012086 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012087 %S A012087 1,1,1,0,3,4,69,32,2503,1936,177481,67328,18539595,4140096, %T A012087 2813939725,353591808,573509386895,262064131840,152349815266705, %U A012087 130347373404160,50966873710838675,65058714844462080 %V A012087 1,1,1,0,-3,4,69,-32,-2503,1936,177481,-67328,-18539595,4140096, %W A012087 2813939725,353591808,-573509386895,-262064131840,152349815266705, %X A012087 130347373404160,-50966873710838675,-65058714844462080 %N A012087 exp(arcsin(arctan(x)))=1+x+1/2!*x^2-3/4!*x^4+4/5!*x^5+69/6!*x^6... %R A012087 %O A012087 0,5 %K A012087 sign,done %A A012087 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012088 %S A012088 1,0,12,88,13968,597440,132709184,15685157504,5014687029504, %T A012088 1181425359497216,528315488687774720,207409825492284028928, %U A012088 125603683629593633394688,73594034552724198387236864 %V A012088 1,0,12,-88,13968,-597440,132709184,-15685157504,5014687029504, %W A012088 -1181425359497216,528315488687774720,-207409825492284028928, %X A012088 125603683629593633394688,-73594034552724198387236864 %N A012088 arcsin(arcsin(arctan(x)))=x+12/5!*x^5-88/7!*x^7+13968/9!*x^9... %R A012088 %O A012088 0,3 %K A012088 sign,done %A A012088 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012089 %S A012089 1,1,9,57,5169,93807,31981689,3857766903,1058896281825, %T A012089 286891166986335,108826313005021545,47766338018402914215, %U A012089 25721485923005221938705,16179153687877979599066575 %V A012089 1,1,9,57,5169,-93807,31981689,-3857766903,1058896281825, %W A012089 -286891166986335,108826313005021545,-47766338018402914215, %X A012089 25721485923005221938705,-16179153687877979599066575 %N A012089 tan(arcsin(arctan(x)))=x+1/3!*x^3+9/5!*x^5+57/7!*x^7+5169/9!*x^9... %R A012089 %O A012089 0,3 %K A012089 sign,done %A A012089 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012090 %S A012090 1,3,57,2587,217137,29025587,5664605801,1519556355275, %T A012090 536514935904609,241225069255390307,134580033555427233689, %U A012090 91237165395466088195963,73877505225687035803070353 %V A012090 1,-3,57,-2587,217137,-29025587,5664605801,-1519556355275, %W A012090 536514935904609,-241225069255390307,134580033555427233689, %X A012090 -91237165395466088195963,73877505225687035803070353 %N A012090 arctan(arcsin(atan(x)))=x-3/3!*x^3+57/5!*x^5-2587/7!*x^7+217137/9!*x^9... %R A012090 %O A012090 0,2 %K A012090 sign,done %A A012090 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012091 %S A012091 1,1,5,109,4521,330681,36468717,5721101541,1205289090513, %T A012091 328897528901361,112769846051251797,47472161654530776285, %U A012091 24068680135210975714425,14466929567049590650593705 %V A012091 1,-1,5,-109,4521,-330681,36468717,-5721101541,1205289090513, %W A012091 -328897528901361,112769846051251797,-47472161654530776285, %X A012091 24068680135210975714425,-14466929567049590650593705 %N A012091 cos(arcsin(arctan(x)))=1-1/2!*x^2+5/4!*x^4-109/6!*x^6+4521/8!*x^8... %R A012091 %O A012091 0,3 %K A012091 sign,done %A A012091 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012092 %S A012092 1,0,4,32,1936,67328,4140096,353591808,262064131840,130347373404160, %T A012092 65058714844462080,36397620373403361280,23130160076947953643520, %U A012092 16791590408623398030868480,13879331008281284807575715840 %V A012092 1,0,4,-32,1936,-67328,4140096,353591808,-262064131840, %W A012092 130347373404160,-65058714844462080,36397620373403361280, %X A012092 -23130160076947953643520,16791590408623398030868480 %N A012092 sinh(arcsin(arctan(x)))=x+4/5!*x^5-32/7!*x^7+1936/9!*x^9-67328/11!*x^11... %R A012092 %O A012092 0,3 %K A012092 sign,done %A A012092 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012093 %S A012093 1,2,32,1224,89984,10705408,1889967232,464238999808,151661217091584, %T A012093 63641246944645120,33381024310383640576,21408234533329528127488, %U A012093 16485197581627921671815168,15011678003028305721277874176 %V A012093 1,-2,32,-1224,89984,-10705408,1889967232,-464238999808, %W A012093 151661217091584,-63641246944645120,33381024310383640576, %X A012093 -21408234533329528127488,16485197581627921671815168 %N A012093 arcsinh(arcsin(arctan(x)))=x-2/3!*x^3+32/5!*x^5-1224/7!*x^7+89984/9!*x^9... %R A012093 %O A012093 0,2 %K A012093 sign,done %A A012093 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012094 %S A012094 1,3,49,1859,127297,13662371,2114110257,445110767139,122308548673025, %T A012094 42491524107649475,18204849127687565745,9427087716053634833795, %U A012094 5803356448065850202170945,4188507975000626549209008995 %V A012094 1,-3,49,-1859,127297,-13662371,2114110257,-445110767139, %W A012094 122308548673025,-42491524107649475,18204849127687565745, %X A012094 -9427087716053634833795,5803356448065850202170945 %N A012094 tanh(arcsin(arctan(x)))=x-3/3!*x^3+49/5!*x^5-1859/7!*x^7+127297/9!*x^9... %R A012094 %O A012094 0,2 %K A012094 sign,done %A A012094 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012095 %S A012095 1,1,17,225,19745,613889,165999025,6543673313,5318503266369, %T A012095 97941778159361,473023280425720657,24807619116269601823, %U A012095 96456947558141320688993,18191159887705677530042623 %V A012095 1,1,17,225,19745,613889,165999025,6543673313,5318503266369, %W A012095 97941778159361,473023280425720657,-24807619116269601823, %X A012095 96456947558141320688993,-18191159887705677530042623 %N A012095 arctanh(arcsin(atan(x)))=x+1/3!*x^3+17/5!*x^5+225/7!*x^7+19745/9!*x^9... %R A012095 %O A012095 0,3 %K A012095 sign,done %A A012095 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012096 %S A012096 1,1,3,69,2503,177481,18539595,2813939725,573509386895, %T A012096 152349815266705,50966873710838675,20993994712780457685, %U A012096 10435138367654204994135,6159973489221376775016665 %V A012096 1,1,-3,69,-2503,177481,-18539595,2813939725,-573509386895, %W A012096 152349815266705,-50966873710838675,20993994712780457685, %X A012096 -10435138367654204994135,6159973489221376775016665 %N A012096 cosh(arcsin(arctan(x)))=1+1/2!*x^2-3/4!*x^4+69/6!*x^6-2503/8!*x^8... %R A012096 %O A012096 0,3 %K A012096 sign,done %A A012096 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012097 %S A012097 1,1,1,49,447,78561,5655231,1014069393,187639949439,51144433721793, %T A012097 16631972691697791,6837287119716744945,3357388632038371909695, %U A012097 1969419543279480607781025,1351313491289175016915168575 %V A012097 1,1,1,49,-447,78561,-5655231,1014069393,-187639949439, %W A012097 51144433721793,-16631972691697791,6837287119716744945, %X A012097 -3357388632038371909695,1969419543279480607781025 %N A012097 sec(arcsin(arctan(x)))=1+1/2!*x^2+1/4!*x^4+49/6!*x^6-447/8!*x^8... %R A012097 %O A012097 0,4 %K A012097 sign,done %A A012097 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012098 %S A012098 1,1,9,249,13297,1175761,154625721,28328562313,6890453792609, %T A012098 2147692998841633,834418870682339561,395288520944694504345, %U A012098 224249503561141591847505,150078278389547160573482225 %V A012098 1,-1,9,-249,13297,-1175761,154625721,-28328562313,6890453792609, %W A012098 -2147692998841633,834418870682339561,-395288520944694504345, %X A012098 224249503561141591847505,-150078278389547160573482225 %N A012098 sech(arcsin(arctan(x)))=1-1/2!*x^2+9/4!*x^4-249/6!*x^6+13297/8!*x^8... %R A012098 %O A012098 0,3 %K A012098 sign,done %A A012098 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012099 %S A012099 1,1,1,3,9,41,201,1403,9649,90641,809201,9578803,105268089, %T A012099 1504717241,19650225401,329275068203,4982657935329,95780865239841, %U A012099 1648151554792801,35749976635509603,689411371817131369 %N A012099 exp(arcsin(sinh(x)))=1+x+1/2!*x^2+3/3!*x^3+9/4!*x^4+41/5!*x^5... %R A012099 %O A012099 0,4 %K A012099 nonn %A A012099 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012100 %S A012100 1,3,49,2187,186337,25929907,5355694161,1539910627387, %T A012100 588565856592577,288782211525088995,176996414128700874865, %U A012100 132567145102215208555627,119162444909413724755024545 %N A012100 arcsin(arcsin(sinh(x)))=x+3/3!*x^3+49/5!*x^5+2187/7!*x^7+186337/9!*x^9... %R A012100 %O A012100 0,2 %K A012100 nonn %A A012100 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012101 %S A012101 1,4,76,3424,277456,35345344,6504742336,1632531979264, %T A012101 535821754153216,222769351470429184,114411762387714436096, %U A012101 71132353206363509039104,52648938670226334981246976 %N A012101 tan(arcsin(sinh(x)))=x+4/3!*x^3+76/5!*x^5+3424/7!*x^7+277456/9!*x^9... %R A012101 %O A012101 0,2 %K A012101 nonn %A A012101 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012102 %S A012102 1,0,4,192,9616,1115392,172350528,37703053312,10989042954496, %T A012102 4099556761067520,1910734175200936960,1087150572502335373312, %U A012102 741705342559787764715520,597689034047543849712812032 %N A012102 arctan(arcsin(sinh(x)))=x+4/5!*x^5+192/7!*x^7+9616/9!*x^9... %R A012102 %O A012102 0,3 %K A012102 nonn %A A012102 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012103 %S A012103 1,1,7,121,5167,410641,51771127,9466034761,2365187249887, %T A012103 773771636088481,320901749327353447,164490143309272987801, %U A012103 102106049239499080993807,75475990780239097513548721 %V A012103 1,-1,-7,-121,-5167,-410641,-51771127,-9466034761,-2365187249887, %W A012103 -773771636088481,-320901749327353447,-164490143309272987801, %X A012103 -102106049239499080993807,-75475990780239097513548721 %N A012103 cos(arcsin(sinh(x)))=1-1/2!*x^2-7/4!*x^4-121/6!*x^6-5167/8!*x^8... %R A012103 %O A012103 0,3 %K A012103 sign,done %A A012103 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012104 %S A012104 1,3,41,1403,90641,9578803,1504717241,329275068203,95780865239841, %T A012104 35749976635509603,16656470900685818441,9475632849374117143003, %U A012104 6463874923226439205813041,5208135569542179761157408403 %N A012104 sinh(arcsin(sinh(x)))=x+3/3!*x^3+41/5!*x^5+1403/7!*x^7+90641/9!*x^9... %R A012104 %O A012104 0,2 %K A012104 nonn %A A012104 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012105 %S A012105 1,1,9,337,20433,2146497,334449049,72730741137,21072553238433, %T A012105 7839688801269505,3643403659959276585,2068430144100589034577, %U A012105 1408597220893698317848945,1133327555472108223412440257 %N A012105 arcsinh(arcsin(sinh(x)))=x+1/3!*x^3+9/5!*x^5+337/7!*x^7+20433/9!*x^9... %R A012105 %O A012105 0,3 %K A012105 nonn %A A012105 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012106 %S A012106 1,0,4,80,5456,511360,83316416,18755459840,5535063173376, %T A012106 2088819464171520,981883326234254336,562564553455472742400, %U A012106 385997167840660261687296,312523332440480815021588480 %V A012106 1,0,-4,80,5456,511360,83316416,18755459840,5535063173376, %W A012106 2088819464171520,981883326234254336,562564553455472742400, %X A012106 385997167840660261687296,312523332440480815021588480 %N A012106 tanh(arcsin(sinh(x)))=x-4/5!*x^5+80/7!*x^7+5456/9!*x^9+511360/11!*x^11... %R A012106 %O A012106 0,3 %K A012106 sign,done %A A012106 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012107 %S A012107 1,4,84,4432,432144,67336512,15330202432,4799825862912, %T A012107 1978228668612864,1038257514383795200,676117122084133770240, %U A012107 534973800492211106598912,505535479689176978173726720 %N A012107 arctanh(arcsin(sinh(x)))=x+4/3!*x^3+84/5!*x^5+4432/7!*x^7+432144/9!*x^9... %R A012107 %O A012107 0,2 %K A012107 nonn %A A012107 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012108 %S A012108 1,1,9,201,9649,809201,105268089,19650225401,4982657935329, %T A012108 1648151554792801,689411371817131369,355814217290199455401, %U A012108 222111401946937825176209,164952387078229730219557201 %N A012108 cosh(arcsin(sinh(x)))=1+1/2!*x^2+9/4!*x^4+201/6!*x^6+9649/8!*x^8... %R A012108 %O A012108 0,3 %K A012108 nonn %A A012108 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012109 %S A012109 1,1,13,421,26713,2794441,436186213,95033434861,27555582190513, %T A012109 10260037095841681,4771143086720391613,2710025439753915534901, %U A012109 1846296024220715321941513,1486014763274444231870834521 %N A012109 sec(arcsin(sinh(x)))=1+1/2!*x^2+13/4!*x^4+421/6!*x^6+26713/8!*x^8... %R A012109 %O A012109 0,3 %K A012109 nonn %A A012109 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012110 %S A012110 1,1,3,21,1543,139241,17567883,3247844861,820544875023, %T A012110 270409929116881,112752402237298963,58042577464009155301, %U A012110 36153625550535244615703,26800108152000698851560121 %V A012110 1,-1,-3,-21,-1543,-139241,-17567883,-3247844861,-820544875023, %W A012110 -270409929116881,-112752402237298963,-58042577464009155301, %X A012110 -36153625550535244615703,-26800108152000698851560121 %N A012110 sech(arcsin(sinh(x)))=1-1/2!*x^2-3/4!*x^4-21/6!*x^6-1543/8!*x^8... %R A012110 %O A012110 0,3 %K A012110 sign,done %A A012110 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012111 %S A012111 1,1,1,1,1,9,49,113,1,6993,83361,171777,2206335,45264153,961321425, %T A012111 412458993,96313079295,1241225427105,41773143339585,81335384742015, %U A012111 9493597481579775,102955176831541545,4967941000109596785 %V A012111 1,1,1,1,1,9,49,113,1,6993,83361,171777,-2206335,45264153,961321425, %W A012111 412458993,-96313079295,1241225427105,41773143339585,-81335384742015, %X A012111 -9493597481579775,102955176831541545,4967941000109596785 %N A012111 exp(arcsin(arcsinh(x)))=1+x+1/2!*x^2+1/3!*x^3+1/4!*x^4+9/5!*x^5... %R A012111 %O A012111 0,6 %K A012111 sign,done %A A012111 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012112 %S A012112 1,1,17,337,26081,1744865,309508209,45520971441,14262333206209, %T A012112 3762227031539905,1815125042343268305,760652468272079182097, %U A012112 519897554030667139338913,319124893510287714867264161 %N A012112 arcsin(arcsin(arcsinh(x)))=x+1/3!*x^3+17/5!*x^5+337/7!*x^7+26081/9!*x^9... %R A012112 %O A012112 0,3 %K A012112 nonn %A A012112 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012113 %S A012113 1,2,24,552,28032,1778688,212383872,25215328512,5734229114880, %T A012113 1029078328135680,410202091438571520,93624495716395745280, %U A012113 65377722614151010222080,15441784659337549573324800 %N A012113 tan(arcsin(arcsinh(x)))=x+2/3!*x^3+24/5!*x^5+552/7!*x^7+28032/9!*x^9... %R A012113 %O A012113 0,2 %K A012113 nonn %A A012113 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012114 %S A012114 1,2,32,1112,76544,8132992,1287179904,277075027200,78957666709504, %T A012114 28538628272500736,12818361767117881344,6984131400017632559104, %U A012114 4545914404919471492988928,3480400203322521156596334592 %V A012114 1,-2,32,-1112,76544,-8132992,1287179904,-277075027200, %W A012114 78957666709504,-28538628272500736,12818361767117881344, %X A012114 -6984131400017632559104,4545914404919471492988928 %N A012114 arctan(arcsin(arcsinh(x)))=x-2/3!*x^3+32/5!*x^5-1112/7!*x^7+76544/9!*x^9... %R A012114 %O A012114 0,2 %K A012114 sign,done %A A012114 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012115 %S A012115 1,1,1,49,897,96801,6803457,1275363153,207592347393,60889593787713, %T A012115 17888210916886017,7679611833095218545,3530100224793651058305, %U A012115 2109645360096014314212705,1387893136694794953345211905 %V A012115 1,-1,1,-49,897,-96801,6803457,-1275363153,207592347393, %W A012115 -60889593787713,17888210916886017,-7679611833095218545, %X A012115 3530100224793651058305,-2109645360096014314212705 %N A012115 cos(arcsin(arcsinh(x)))=1-1/2!*x^2+1/4!*x^4-49/6!*x^6+897/8!*x^8... %R A012115 %O A012115 0,4 %K A012115 sign,done %A A012115 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012116 %S A012116 1,1,9,113,6993,171777,45264153,412458993,1241225427105, %T A012116 81335384742015,102955176831541545,22142143528417205775, %U A012116 20775502075935299781105,8945394343172069982368895 %V A012116 1,1,9,113,6993,171777,45264153,412458993,1241225427105, %W A012116 -81335384742015,102955176831541545,-22142143528417205775, %X A012116 20775502075935299781105,-8945394343172069982368895 %N A012116 sinh(arcsin(arcsinh(x)))=x+1/3!*x^3+9/5!*x^5+113/7!*x^7+6993/9!*x^9... %R A012116 %O A012116 0,3 %K A012116 sign,done %A A012116 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012117 %S A012117 1,1,17,449,30113,2761793,415351089,81370683393,21955730621249, %T A012117 7408485122203009,3161408870916725841,1630838373598845388097, %U A012117 1013685573603673847917793,741353146138643571687256001 %V A012117 1,-1,17,-449,30113,-2761793,415351089,-81370683393,21955730621249, %W A012117 -7408485122203009,3161408870916725841,-1630838373598845388097, %X A012117 1013685573603673847917793,-741353146138643571687256001 %N A012117 arcsinh(arcsin(arcsinh(x)))=x-1/3!*x^3+17/5!*x^5-449/7!*x^7+30113/9!*x^9... %R A012117 %O A012117 0,3 %K A012117 sign,done %A A012117 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012118 %S A012118 1,2,24,664,36096,3054336,389859456,67637286144,15712242647040, %T A012118 4624447960903680,1704772464238264320,762137182003035340800, %U A012118 409146648871581200056320,258451658825083238747013120 %V A012118 1,-2,24,-664,36096,-3054336,389859456,-67637286144,15712242647040, %W A012118 -4624447960903680,1704772464238264320,-762137182003035340800, %X A012118 409146648871581200056320,-258451658825083238747013120 %N A012118 tanh(arcsin(arcsinh(x)))=x-2/3!*x^3+24/5!*x^5-664/7!*x^7+36096/9!*x^9... %R A012118 %O A012118 0,2 %K A012118 sign,done %A A012118 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012119 %S A012119 1,2,32,1000,68480,6561664,1023602304,201257787648,56084851257344, %T A012119 18730102842232832,8177799266538749952,4153222601561664323584, %U A012119 2616197218964411007008768,1879040755111699467662589952 %N A012119 arctanh(arcsin(arcsinh(x)))=x+2/3!*x^3+32/5!*x^5+1000/7!*x^7+68480/9!*x^9... %R A012119 %O A012119 0,2 %K A012119 nonn %A A012119 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012120 %S A012120 1,1,1,49,1,83361,2206335,961321425,96313079295,41773143339585, %T A012120 9493597481579775,4967941000109596785,1991874953215606007295, %U A012120 1319075774798596975837665,807077677117010238256087935 %V A012120 1,1,1,49,1,83361,-2206335,961321425,-96313079295,41773143339585, %W A012120 -9493597481579775,4967941000109596785,-1991874953215606007295, %X A012120 1319075774798596975837665,-807077677117010238256087935 %N A012120 cosh(arcsin(arcsinh(x)))=1+1/2!*x^2+1/4!*x^4+49/6!*x^6+1/8!*x^8... %R A012120 %O A012120 0,4 %K A012120 sign,done %A A012120 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012121 %S A012121 1,1,5,109,3177,227961,15773229,2521786149,294715261521, %T A012121 91106569198449,14283819393505749,8353531761471301725, %U A012121 1366332291998753348025,1671117489759750577634025 %N A012121 sec(arcsin(arcsinh(x)))=1+1/2!*x^2+5/4!*x^4+109/6!*x^6+3177/8!*x^8... %R A012121 %O A012121 0,3 %K A012121 nonn %A A012121 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012122 %S A012122 1,1,5,109,4073,295161,30105261,4622444709,920180967249, %T A012122 244553774342769,80285311139524821,32887829518696856925, %U A012122 16096767138947015536185,9423401435342942243589225 %V A012122 1,-1,5,-109,4073,-295161,30105261,-4622444709,920180967249, %W A012122 -244553774342769,80285311139524821,-32887829518696856925, %X A012122 16096767138947015536185,-9423401435342942243589225 %N A012122 sech(arcsin(arcsinh(x)))=1-1/2!*x^2+5/4!*x^4-109/6!*x^6+4073/8!*x^8... %R A012122 %O A012122 0,3 %K A012122 sign,done %A A012122 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012123 %S A012123 1,1,1,0,3,4,21,80,263,2224,4841,88960,99723,4942144,199939, %T A012123 366928640,501445617,35219691264,101818966319,4251941253120, %U A012123 19731909099757,631113275843584,4192563651606299,113005305852006400 %V A012123 1,1,1,0,-3,-4,21,80,-263,-2224,4841,88960,-99723,-4942144,-199939, %W A012123 366928640,501445617,-35219691264,-101818966319,4251941253120, %X A012123 19731909099757,-631113275843584,-4192563651606299 %N A012123 exp(arcsin(tanh(x)))=1+x+1/2!*x^2-3/4!*x^4-4/5!*x^5+21/6!*x^6... %R A012123 %O A012123 0,5 %K A012123 sign,done %A A012123 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012124 %S A012124 1,0,4,24,1744,61504,6700992,632723584,106726576384,19137224693760, %T A012124 4819549055104000,1376115921056118784,493566558620424622080, %U A012124 203121814961910275620864,99267625002820837091098624 %N A012124 arcsin(arcsin(tanh(x)))=x+4/5!*x^5+24/7!*x^7+1744/9!*x^9+61504/11!*x^11... %R A012124 %O A012124 0,3 %K A012124 nonn %A A012124 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012126 %S A012126 1,3,49,1971,147457,17712131,3119521521,757475512691,242537719364737, %T A012126 99014166389423235,50196880291533920305,30939568726951088808371, %U A012126 22784988607303653453394305,19758666630459236754313678211 %V A012126 1,-3,49,-1971,147457,-17712131,3119521521,-757475512691, %W A012126 242537719364737,-99014166389423235,50196880291533920305, %X A012126 -30939568726951088808371,22784988607303653453394305 %N A012126 arctan(arcsin(tanh(x)))=x-3/3!*x^3+49/5!*x^5-1971/7!*x^7+147457/9!*x^9... %R A012126 %O A012126 0,2 %K A012126 sign,done %A A012126 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012127 %S A012127 1,0,4,80,2224,88960,4942144,366928640,35219691264,4251941253120, %T A012127 631113275843584,113005305852006400,24021321751206703104, %U A012127 5979261710118927892480,1722267000144536070733824 %V A012127 1,0,-4,80,-2224,88960,-4942144,366928640,-35219691264, %W A012127 4251941253120,-631113275843584,113005305852006400, %X A012127 -24021321751206703104,5979261710118927892480 %N A012127 sinh(arcsin(tanh(x)))=x-4/5!*x^5+80/7!*x^7-2224/9!*x^9+88960/11!*x^11... %R A012127 %O A012127 0,3 %K A012127 sign,done %A A012127 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012128 %S A012128 1,2,24,776,49536,5271936,842846848,188826614016,56431158829056, %T A012128 21687384462233600,10419278733341491200,6118220781221123260416, %U A012128 4311116228906909580820480,3590017073187013127497383936 %V A012128 1,-2,24,-776,49536,-5271936,842846848,-188826614016,56431158829056, %W A012128 -21687384462233600,10419278733341491200,-6118220781221123260416, %X A012128 4311116228906909580820480,-3590017073187013127497383936 %N A012128 arcsinh(arcsin(tanh(x)))=x-2/3!*x^3+24/5!*x^5-776/7!*x^7+49536/9!*x^9... %R A012128 %O A012128 0,2 %K A012128 sign,done %A A012128 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012129 %S A012129 1,3,41,1243,65681,5335283,616216121,95919970123,19349625251361, %T A012129 4909180152449763,1529770153928451401,574346328696763158203, %U A012129 255703860384773029976241,133196988269151890206719443 %V A012129 1,-3,41,-1243,65681,-5335283,616216121,-95919970123,19349625251361, %W A012129 -4909180152449763,1529770153928451401,-574346328696763158203, %X A012129 255703860384773029976241,-133196988269151890206719443 %N A012129 tanh(arcsin(tanh(x)))=x-3/3!*x^3+41/5!*x^5-1243/7!*x^7+65681/9!*x^9... %R A012129 %O A012129 0,2 %K A012129 sign,done %A A012129 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012130 %S A012130 1,1,9,169,6513,382449,33949369,4083320409,654225568353, %T A012130 132856897394785,33620948951783145,10322993203249787529, %U A012130 3791611637554126839505,1638719968206448148183889 %N A012130 arctanh(arcsin(tanh(x)))=x+1/3!*x^3+9/5!*x^5+169/7!*x^7+6513/9!*x^9... %R A012130 %O A012130 0,3 %K A012130 nonn %A A012130 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012131 %S A012131 1,1,3,21,263,4841,99723,199939,501445617,101818966319, %T A012131 19731909099757,4192563651606299,1009030667701246697, %U A012131 277080625752723191879,86724157841631252590437 %V A012131 1,1,-3,21,-263,4841,-99723,-199939,501445617,-101818966319, %W A012131 19731909099757,-4192563651606299,1009030667701246697, %X A012131 -277080625752723191879,86724157841631252590437 %N A012131 cosh(arcsin(tanh(x)))=1+1/2!*x^2-3/4!*x^4+21/6!*x^6-263/8!*x^8... %R A012131 %O A012131 0,3 %K A012131 sign,done %A A012131 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012133 %S A012133 1,1,9,201,8369,559601,54852729,7411089401,1320161221089, %T A012133 299803443573601,84543945702681449,28984920596097196201, %U A012133 11872728882101557841809,5726623333843769342341201 %V A012133 1,-1,9,-201,8369,-559601,54852729,-7411089401,1320161221089, %W A012133 -299803443573601,84543945702681449,-28984920596097196201, %X A012133 11872728882101557841809,-5726623333843769342341201 %N A012133 sech(arcsin(tanh(x)))=1-1/2!*x^2+9/4!*x^4-201/6!*x^6+8369/8!*x^8... %R A012133 %O A012133 0,3 %K A012133 sign,done %A A012133 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012134 %S A012134 1,1,1,4,13,84,469,4208,33433,386064,3984681,56523072,718210725, %T A012134 12121690944,183013440765,3589856932608,62801454477105, %U A012134 1406019035808000,27970921286867025,704535958463063040 %N A012134 exp(arcsin(arctanh(x)))=1+x+1/2!*x^2+4/3!*x^3+13/4!*x^4+84/5!*x^5... %R A012134 %O A012134 0,4 %K A012134 nonn %A A012134 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012135 %S A012135 1,4,92,5272,567440,98979200,25530690624,9147312168576, %T A012135 4349983363258624,2652517304182955008,2018610268528861424640, %U A012135 1875904660571518053251072,2091013498538531655993561088 %N A012135 arcsin(arcsin(arctanh(x)))=x+4/3!*x^3+92/5!*x^5+5272/7!*x^7+567440/9!*x^9... %R A012135 %O A012135 0,2 %K A012135 nonn %A A012135 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012136 %S A012136 1,5,129,7797,848481,145041093,35799178401,12045448529397, %T A012136 5298881528389185,2952169020073027845,2031522244065649876545, %U A012136 1692164698229362361298165,1677876856826199251515980705 %N A012136 tan(arcsin(arctanh(x)))=x+5/3!*x^3+129/5!*x^5+7797/7!*x^7+848481/9!*x^9... %R A012136 %O A012136 0,2 %K A012136 nonn %A A012136 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012137 %S A012137 1,1,17,673,54305,7334273,1497501873,430436005665,165573876222529, %T A012137 82074493484054017,50922938856050558289,38644611846710150572193, %U A012137 35205379514991276523808353,37909794281251146499011279233 %N A012137 arctan(arcsin(atanh(x)))=x+1/3!*x^3+17/5!*x^5+673/7!*x^7+54305/9!*x^9... %R A012137 %O A012137 0,3 %K A012137 nonn %A A012137 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012138 %S A012138 1,1,11,349,22455,2465241,416217603,100729124469,33198564667887, %T A012138 14328891118054449,7852649782447649403,5329635152693662625805, %U A012138 4388960085492355649955495,4311252908121612641489277705 %V A012138 1,-1,-11,-349,-22455,-2465241,-416217603,-100729124469, %W A012138 -33198564667887,-14328891118054449,-7852649782447649403, %X A012138 -5329635152693662625805,-4388960085492355649955495 %N A012138 cos(arcsin(arctanh(x)))=1-1/2!*x^2-11/4!*x^4-349/6!*x^6-22455/8!*x^8... %R A012138 %O A012138 0,3 %K A012138 sign,done %A A012138 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012139 %S A012139 1,4,84,4208,386064,56523072,12121690944,3589856932608, %T A012139 1406019035808000,704535958463063040,439949357001315947520, %U A012139 335139715537167259791360,305989012726577998256148480 %N A012139 sinh(arcsin(arctanh(x)))=x+4/3!*x^3+84/5!*x^5+4208/7!*x^7+386064/9!*x^9... %R A012139 %O A012139 0,2 %K A012139 nonn %A A012139 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012140 %S A012140 1,2,32,1336,108800,14701312,2986596480,852635258112,325714440802304, %T A012140 160437668874481664,98998538588401238016,74780329820590921056256, %U A012140 67860526461080359727955968,72835853250644384064569933824 %N A012140 arcsinh(arcsin(arctanh(x)))=x+2/3!*x^3+32/5!*x^5+1336/7!*x^7... %R A012140 %O A012140 0,2 %K A012140 nonn %A A012140 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012141 %S A012141 1,1,9,281,20913,2869329,613734393,185272366761,74333015297505, %T A012141 38107181118565665,24270343990842570345,18795056467624757017785, %U A012141 17394205995630055629900945,18964089582659357000823035505 %N A012141 tanh(arcsin(arctanh(x)))=x+1/3!*x^3+9/5!*x^5+281/7!*x^7+20913/9!*x^9... %R A012141 %O A012141 0,3 %K A012141 nonn %A A012141 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012142 %S A012142 1,5,137,9085,1107665,215251189,61040810841,23787478734573, %T A012142 12195876997744289,7959108767371738085,6442333032874852024617, %U A012142 6333998826435424439107165,7435387461759207059826574193 %N A012142 arctanh(arcsin(atanh(x)))=x+5/3!*x^3+137/5!*x^5+9085/7!*x^7... %R A012142 %O A012142 0,2 %K A012142 nonn %A A012142 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012143 %S A012143 1,1,13,469,33433,3984681,718210725,183013440765,62801454477105, %T A012143 27970921286867025,15708198897246520125,10866653910101298549285, %U A012143 9083998201236955132833225,9030162506735790711308044665 %N A012143 cosh(arcsin(arctanh(x)))=1+1/2!*x^2+13/4!*x^4+469/6!*x^6+33433/8!*x^8... %R A012143 %O A012143 0,3 %K A012143 nonn %A A012143 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012144 %S A012144 1,1,17,769,66849,9506241,2007271089,589807203777,230194642564161, %T A012144 115219444193968257,71962921603647030609,54865853223458268869505, %U A012144 50151129904368572197783905,54139213630083955379966633025 %N A012144 sec(arcsin(arctanh(x)))=1+1/2!*x^2+17/4!*x^4+769/6!*x^6+66849/8!*x^8... %R A012144 %O A012144 0,3 %K A012144 nonn %A A012144 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012145 %S A012145 1,1,7,169,9199,915441,146524599,34565815257,11286151088991, %T A012145 4868161148587617,2677533017865604839,1826930427561513127305, %U A012145 1513046625847449915823695,1494316021415982844933350225 %V A012145 1,-1,-7,-169,-9199,-915441,-146524599,-34565815257,-11286151088991, %W A012145 -4868161148587617,-2677533017865604839,-1826930427561513127305, %X A012145 -1513046625847449915823695,-1494316021415982844933350225 %N A012145 sech(arcsin(arctanh(x)))=1-1/2!*x^2-7/4!*x^4-169/6!*x^6-9199/8!*x^8... %R A012145 %O A012145 0,3 %K A012145 sign,done %A A012145 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012146 %S A012146 1,2,16,440,27904,2850176,425017984,88153419008,24337836937216, %T A012146 8628418353065984,3819956976511713280,2065506026582536355840, %U A012146 1339535792840983753424896,1026285196477087825278599168 %N A012146 arcsin(tan(sin(x)))=x+2/3!*x^3+16/5!*x^5+440/7!*x^7+27904/9!*x^9... %R A012146 %O A012146 0,2 %K A012146 nonn %A A012146 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012147 %S A012147 1,3,41,1467,100625,11103155,1795927225,400540116971,117802787966241, %T A012147 44174901566136419,20571101104110689353,11646565567973048707867, %U A012147 7878351005250269762378801,6275481526065593121954975251 %N A012147 arctanh(tan(sin(x)))=x+3/3!*x^3+41/5!*x^5+1467/7!*x^7+100625/9!*x^9... %R A012147 %O A012147 0,2 %K A012147 nonn %A A012147 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012148 %S A012148 1,1,9,153,4337,188049,11533497,947095529,100391885153, %T A012148 13337306468001,2164609458010345,420395208704497849, %U A012148 96150102074339268945,25560738902667056074801 %N A012148 sec(tan(sin(x)))=1+1/2!*x^2+9/4!*x^4+153/6!*x^6+4337/8!*x^8... %R A012148 %O A012148 0,3 %K A012148 nonn %A A012148 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012149 %S A012149 1,1,1,47,447,31649,1241153,94750991,10593064063,734072274241, %T A012149 217167723689345,9078987118530031,9048136095510326335, %U A012149 132977311200029875999,677245929952843206843329 %V A012149 1,-1,1,47,-447,-31649,1241153,94750991,-10593064063,-734072274241, %W A012149 217167723689345,9078987118530031,-9048136095510326335, %X A012149 132977311200029875999,677245929952843206843329 %N A012149 sech(tan(sin(x)))=1-1/2!*x^2+1/4!*x^4+47/6!*x^6-447/8!*x^8... %R A012149 %O A012149 0,4 %K A012149 sign,done %A A012149 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012150 %S A012150 1,1,1,4,13,76,421,3256,25369,245008,2449801,28441216,346065061, %T A012150 4700478784,67243537453,1047088053376,17192488230961,302112622479616, %U A012150 5593309059948049,109527844826856448,2255588021494237501 %N A012150 exp(tan(arcsin(x)))=1+x+1/2!*x^2+4/3!*x^3+13/4!*x^4+76/5!*x^5... %R A012150 %O A012150 0,4 %K A012150 nonn %A A012150 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012151 %S A012151 1,5,121,7013,760465,134832389,35777541385,13330794123941, %T A012151 6648498133614241,4277423006885663237,3448604325132908471833, %U A012151 3404386999104410323462373,4038035818558270717884559921 %N A012151 arcsin(tan(tan(x)))=x+5/3!*x^3+121/5!*x^5+7013/7!*x^7+760465/9!*x^9... %R A012151 %O A012151 0,2 %K A012151 nonn %A A012151 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012152 %S A012152 1,6,176,12240,1561088,318007808,94807748608,38942692972544, %T A012152 21088169713729536,14558790290337431552,12481351528273319821312, %U A012152 13009249833253480856289280,16200881782506627598590672896 %N A012152 arctanh(tan(tan(x)))=x+6/3!*x^3+176/5!*x^5+12240/7!*x^7... %R A012152 %O A012152 0,2 %K A012152 nonn %A A012152 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012153 %S A012153 1,1,21,1053,96905,14216409,3045819741,897606889013,348348521840273, %T A012153 172224469448231985,105685328498514238501,78822199814116989651661, %U A012153 70223663543654715642543129,73659278933239564262294052361 %N A012153 sec(tan(tan(x)))=1+1/2!*x^2+21/4!*x^4+1053/6!*x^6+96905/8!*x^8... %R A012153 %O A012153 0,3 %K A012153 nonn %A A012153 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012154 %S A012154 1,1,11,253,9015,362009,2294909,7143505067,2709263596817, %T A012154 958529947538255,359564035447469189,146418020203030157779, %U A012154 64393370639942123229401,29924760789755403918019639 %V A012154 1,-1,-11,-253,-9015,-362009,2294909,7143505067,2709263596817, %W A012154 958529947538255,359564035447469189,146418020203030157779, %X A012154 64393370639942123229401,29924760789755403918019639 %N A012154 sech(tan(tan(x)))=1-1/2!*x^2-11/4!*x^4-253/6!*x^6-9015/8!*x^8... %R A012154 %O A012154 0,3 %K A012154 sign,done %A A012154 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012155 %S A012155 1,4,76,3592,325648,49088128,11155494208,3566506418560, %T A012155 1525463139748096,840688518856539136,579910469070833277952, %U A012155 489338149015716318963712,495775150805105569019662336 %N A012155 arcsin(tan(sinh(x)))=x+4/3!*x^3+76/5!*x^5+3592/7!*x^7+325648/9!*x^9... %R A012155 %O A012155 0,2 %K A012155 nonn %A A012155 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012156 %S A012156 1,5,121,7069,763057,132103157,33527321257,11731117858573, %T A012156 5412661283979361,3184128808387236581,2326120405922560979929, %U A012156 2066008261961436163683709,2192446490036211173903631121 %N A012156 arctanh(tan(sinh(x)))=x+5/3!*x^3+121/5!*x^5+7069/7!*x^7+763057/9!*x^9... %R A012156 %O A012156 0,2 %K A012156 nonn %A A012156 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012157 %S A012157 1,1,17,673,48929,5673089,961574833,224363899425,68975480890433, %T A012157 27023130631305217,13143522467110047569,7770835407698957687457, %U A012157 5488724780305016514749281,4564763996367746354642156161 %N A012157 sec(tan(sinh(x)))=1+1/2!*x^2+17/4!*x^4+673/6!*x^6+48929/8!*x^8... %R A012157 %O A012157 0,3 %K A012157 nonn %A A012157 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012158 %S A012158 1,1,7,73,239,95311,12793417,1502683335,172513245857,17253776069663, %T A012158 455220048522521,596864160295290537,305119961556198266191, %U A012158 109834061252143977404561,30331365524500558386135959 %V A012158 1,-1,-7,-73,-239,95311,12793417,1502683335,172513245857, %W A012158 17253776069663,455220048522521,-596864160295290537, %X A012158 -305119961556198266191,-109834061252143977404561 %N A012158 sech(tan(sinh(x)))=1-1/2!*x^2-7/4!*x^4-73/6!*x^6-239/8!*x^8... %R A012158 %O A012158 0,3 %K A012158 sign,done %A A012158 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012159 %S A012159 1,1,1,2,5,16,61,216,937,6400,41881,125696,259181,18156672,225924245, %T A012159 930421504,25529526319,394852151296,8376428366257,97538559528960, %U A012159 2542034772205739,37824762737852416,1049519923013252461 %V A012159 1,1,1,2,5,16,61,216,937,6400,41881,125696,259181,18156672, %W A012159 225924245,-930421504,-25529526319,394852151296,8376428366257, %X A012159 -97538559528960,-2542034772205739,37824762737852416 %N A012159 exp(tan(arcsinh(x)))=1+x+1/2!*x^2+2/3!*x^3+5/4!*x^4+16/5!*x^5... %R A012159 %O A012159 0,4 %K A012159 sign,done %A A012159 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012160 %S A012160 1,0,4,136,272,222016,21267520,3836913536,874251520256, %T A012160 254117293340672,92635637659667456,41075111126460016640, %U A012160 21845766688887149694976,13711633858766326011314176 %V A012160 1,0,-4,-136,272,-222016,21267520,-3836913536,874251520256, %W A012160 -254117293340672,92635637659667456,-41075111126460016640, %X A012160 21845766688887149694976,-13711633858766326011314176 %N A012160 sin(tan(arcsinh(x)))=x-4/5!*x^5-136/7!*x^7+272/9!*x^9-222016/11!*x^11... %R A012160 %O A012160 0,3 %K A012160 sign,done %A A012160 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012161 %S A012161 1,2,24,720,48000,4896000,804480000,175037491200,53010886656000, %T A012161 19962353688576000,9637819435745280000,5576675932580413440000, %U A012161 3929711821948633743360000,3235566861687414718464000000 %N A012161 arcsin(tan(arcsinh(x)))=x+2/3!*x^3+24/5!*x^5+720/7!*x^7+48000/9!*x^9... %R A012161 %O A012161 0,2 %K A012161 nonn %A A012161 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012162 %S A012162 1,3,41,1187,62129,4782467,547167193,80119022947,16118331113441, %T A012162 3804780451118851,1198259782941477641,411098266056364045603, %U A012162 189240360206280390564241,87405020278156979563746947 %N A012162 tan(tan(arcsinh(x)))=x+3/3!*x^3+41/5!*x^5+1187/7!*x^7+62129/9!*x^9... %R A012162 %O A012162 0,2 %K A012162 nonn %A A012162 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012163 %S A012163 1,1,3,21,185,9641,1668021,192801597,42064398961,10576096455505, %T A012163 3476312353756781,1396500495046819941,679259896835809126697, %U A012163 392775363671591649764601,266385083031275173194789925 %V A012163 1,-1,-3,-21,185,-9641,1668021,-192801597,42064398961, %W A012163 -10576096455505,3476312353756781,-1396500495046819941, %X A012163 679259896835809126697,-392775363671591649764601 %N A012163 cos(tan(arcsinh(x)))=1-1/2!*x^2-3/4!*x^4-21/6!*x^6+185/8!*x^8... %R A012163 %O A012163 0,3 %K A012163 sign,done %A A012163 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012164 %S A012164 1,2,16,216,6400,125696,18156672,930421504,394852151296, %T A012164 97538559528960,37824762737852416,16526000392804139008, %U A012164 8864261701679059992576,5567468507542446595047424 %V A012164 1,2,16,216,6400,125696,18156672,-930421504,394852151296, %W A012164 -97538559528960,37824762737852416,-16526000392804139008, %X A012164 8864261701679059992576,-5567468507542446595047424 %N A012164 sinh(tan(arcsinh(x)))=x+2/3!*x^3+16/5!*x^5+216/7!*x^7+6400/9!*x^9... %R A012164 %O A012164 0,2 %K A012164 sign,done %A A012164 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012165 %S A012165 1,1,1,57,4513,362737,43685409,7472568937,1694762362561, %T A012165 492370173816033,178467092014537921,78960125273223620761, %U A012165 41880334808869380979041,26232480244560931030777297 %V A012165 1,-1,1,-57,4513,-362737,43685409,-7472568937,1694762362561, %W A012165 -492370173816033,178467092014537921,-78960125273223620761, %X A012165 41880334808869380979041,-26232480244560931030777297 %N A012165 tanh(tan(arcsinh(x)))=x-1/3!*x^3+1/5!*x^5-57/7!*x^7+4513/9!*x^9... %R A012165 %O A012165 0,4 %K A012165 sign,done %A A012165 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012166 %S A012166 1,3,49,1915,143905,17011475,2994791825,719040113675,229441987074625, %T A012166 92824148885459875,46824601078366320625,28633111489683067566875, %U A012166 20964654070778933185750625,18047023186844734022903421875 %N A012166 arctanh(tan(arcsinh(x)))=x+3/3!*x^3+49/5!*x^5+1915/7!*x^7+143905/9!*x^9... %R A012166 %O A012166 0,2 %K A012166 nonn %A A012166 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012167 %S A012167 1,1,5,61,937,41881,259181,225924245,25529526319,8376428366257, %T A012167 2542034772205739,1049519923013252461,506849756298097166215, %U A012167 294020276106503596553801,199395048123852155910464323 %V A012167 1,1,5,61,937,41881,259181,225924245,-25529526319,8376428366257, %W A012167 -2542034772205739,1049519923013252461,-506849756298097166215, %X A012167 294020276106503596553801,-199395048123852155910464323 %N A012167 cosh(tan(arcsinh(x)))=1+1/2!*x^2+5/4!*x^4+61/6!*x^6+937/8!*x^8... %R A012167 %O A012167 0,3 %K A012167 sign,done %A A012167 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012168 %S A012168 1,1,9,201,7921,524081,48396345,6493605561,1082018699105, %T A012168 246352273609441,64161902428428265,22422522791742857001, %U A012168 8300517886009938036049,4196071192877342442444561 %N A012168 sec(tan(arcsinh(x)))=1+1/2!*x^2+9/4!*x^4+201/6!*x^6+7921/8!*x^8... %R A012168 %O A012168 0,3 %K A012168 nonn %A A012168 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012169 %S A012169 1,1,1,1,449,31681,3077185,445157441,87981830785,22627780368001, %T A012169 7353703042163585,2948527179059299201,1429774747400938052161, %U A012169 824792570907860638058561,558247886671770078618138049 %V A012169 1,-1,1,-1,449,-31681,3077185,-445157441,87981830785,-22627780368001, %W A012169 7353703042163585,-2948527179059299201,1429774747400938052161, %X A012169 -824792570907860638058561,558247886671770078618138049 %N A012169 sech(tan(arcsinh(x)))=1-1/2!*x^2+1/4!*x^4-1/6!*x^6+449/8!*x^8... %R A012169 %O A012169 0,5 %K A012169 sign,done %A A012169 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012170 %S A012170 1,1,1,169,5857,365905,48069217,6592812217,1367546003521, %T A012170 352618786733473,113088877092468289,44682599178075094729, %U A012170 21050259388599343979041,11746444483256346415750897 %N A012170 arcsin(tan(tanh(x)))=x+1/3!*x^3+1/5!*x^5+169/7!*x^7+5857/9!*x^9... %R A012170 %O A012170 0,4 %K A012170 nonn %A A012170 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012171 %S A012171 1,2,16,496,24064,1908224,227958784,36620830720,7865201852416, %T A012171 2142236553248768,725477781101608960,298762982193334583296, %U A012171 146937839959786186080256,85124605007437662078894080 %N A012171 arctanh(tan(tanh(x)))=x+2/3!*x^3+16/5!*x^5+496/7!*x^7+24064/9!*x^9... %R A012171 %O A012171 0,2 %K A012171 nonn %A A012171 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012172 %S A012172 1,1,5,13,41,1529,168851,14151621,1169749807,65719458673, %T A012172 5735813087573,3489760303917315,1000904582588332537, %U A012172 229661980583327166359,41111046331054702141117 %V A012172 1,1,5,13,41,1529,-168851,14151621,-1169749807,65719458673, %W A012172 5735813087573,-3489760303917315,1000904582588332537, %X A012172 -229661980583327166359,41111046331054702141117 %N A012172 sec(tan(tanh(x)))=1+1/2!*x^2+5/4!*x^4+13/6!*x^6+41/8!*x^8... %R A012172 %O A012172 0,3 %K A012172 sign,done %A A012172 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012173 %S A012173 1,1,5,13,1751,132871,6935699,5067579,89435340497,21076246089073, %T A012173 3055142025663317,13219661379785475,235907327725301640967, %U A012173 116095997487821991940759,33017130566183943274793027 %V A012173 1,-1,5,-13,-1751,132871,-6935699,5067579,89435340497, %W A012173 -21076246089073,3055142025663317,13219661379785475, %X A012173 -235907327725301640967,116095997487821991940759 %N A012173 sech(tan(tanh(x)))=1-1/2!*x^2+5/4!*x^4-13/6!*x^6-1751/8!*x^8... %R A012173 %O A012173 0,3 %K A012173 sign,done %A A012173 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012174 %S A012174 1,1,1,5,17,121,721,6621,56545,636337,7062241,94260341,1283497841, %T A012174 19853570985,319471153457,5628171840461,104260273696961, %U A012174 2063430523313761,43168502192389825,949149114720943077 %N A012174 exp(tan(arctanh(x)))=1+x+1/2!*x^2+5/3!*x^3+17/4!*x^4+121/5!*x^5... %R A012174 %O A012174 0,4 %K A012174 nonn %A A012174 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012175 %S A012175 1,3,41,1019,12305,7478221,3005647943,1143787246421,494108406644959, %T A012175 250135591701350045,148735005859748997559,103273288933359010564517, %U A012175 83050756624193183081902799,76693978501587487391631777901 %V A012175 1,3,41,1019,12305,-7478221,-3005647943,-1143787246421, %W A012175 -494108406644959,-250135591701350045,-148735005859748997559, %X A012175 -103273288933359010564517,-83050756624193183081902799 %N A012175 sin(tan(arctanh(x)))=x+3/3!*x^3+41/5!*x^5+1019/7!*x^7+12305/9!*x^9... %R A012175 %O A012175 0,2 %K A012175 sign,done %A A012175 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012176 %S A012176 1,5,129,7965,910785,168520725,46302986625,17780913886125, %T A012176 9118678334858625,6027946461936745125,4993688347647511370625, %U A012176 5067155718588449670088125,6180682927872411162068450625 %N A012176 arcsin(tan(arctanh(x)))=x+5/3!*x^3+129/5!*x^5+7965/7!*x^7+910785/9!*x^9... %R A012176 %O A012176 0,2 %K A012176 nonn %A A012176 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012177 %S A012177 1,6,176,11792,1399808,258010112,68048472064,24288413734912, %T A012177 11265869660880896,6584336654436794368,4732528038730841194496, %U A012177 4101916559962554300891136,4218542156655644369974460416 %N A012177 tan(tan(arctanh(x)))=x+6/3!*x^3+176/5!*x^5+11792/7!*x^7... %R A012177 %O A012177 0,2 %K A012177 nonn %A A012177 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012178 %S A012178 1,1,15,561,38623,4206881,661302639,140958927825,38921417469119, %T A012178 13433349471318337,5625858245527551439,2783882722627688439921, %U A012178 1585166024021465157765535,1007064093834476497023432801 %V A012178 1,-1,-15,-561,-38623,-4206881,-661302639,-140958927825, %W A012178 -38921417469119,-13433349471318337,-5625858245527551439, %X A012178 -2783882722627688439921,-1585166024021465157765535 %N A012178 cos(tan(arctanh(x)))=1-1/2!*x^2-15/4!*x^4-561/6!*x^6-38623/8!*x^8... %R A012178 %O A012178 0,3 %K A012178 sign,done %A A012178 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012179 %S A012179 1,5,121,6621,636337,94260341,19853570985,5628171840461, %T A012179 2063430523313761,949149114720943077,534861693803619166681, %U A012179 362197405161801586405565,290099119826974859032451601 %N A012179 sinh(tan(arctanh(x)))=x+5/3!*x^3+121/5!*x^5+6621/7!*x^7+636337/9!*x^9... %R A012179 %O A012179 0,2 %K A012179 nonn %A A012179 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012180 %S A012180 1,2,16,48,29696,6049792,1262426112,308569372672,89297625350144, %T A012180 30123113337716736,11520007513318621184,4775431672418431664128, %U A012180 1952929261585732032528384,545214673336986589066166272 %V A012180 1,2,16,48,-29696,-6049792,-1262426112,-308569372672,-89297625350144, %W A012180 -30123113337716736,-11520007513318621184,-4775431672418431664128, %X A012180 -1952929261585732032528384,-545214673336986589066166272 %N A012180 tanh(tan(arctanh(x)))=x+2/3!*x^3+16/5!*x^5+48/7!*x^7-29696/9!*x^9... %R A012180 %O A012180 0,2 %K A012180 sign,done %A A012180 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012181 %S A012181 1,6,184,13360,1770880,373587200,115086003200,48784879769600, %T A012181 27245388132352000,19392357120188416000,17137521906875269120000, %U A012181 18411376349575875461120000,23632217190341837269237760000 %N A012181 arctanh(tan(atanh(x)))=x+6/3!*x^3+184/5!*x^5+13360/7!*x^7... %R A012181 %O A012181 0,2 %K A012181 nonn %A A012181 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012182 %S A012182 1,1,17,721,56545,7062241,1283497841,319471153457,104260273696961, %T A012182 43168502192389825,22100367268731836881,13703484478282258062481, %U A012182 10117607255517016666964897,8769262856125733251376413601 %N A012182 cosh(tan(arctanh(x)))=1+1/2!*x^2+17/4!*x^4+721/6!*x^6+56545/8!*x^8... %R A012182 %O A012182 0,3 %K A012182 nonn %A A012182 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012183 %S A012183 1,1,21,1101,107209,16711481,3810146205,1195529025861, %T A012183 494050576455185,260086639760540401,169928807728242392485, %U A012183 134924876918419856397501,127963083862513681084495321 %N A012183 sec(tan(arctanh(x)))=1+1/2!*x^2+21/4!*x^4+1101/6!*x^6+107209/8!*x^8... %R A012183 %O A012183 0,3 %K A012183 nonn %A A012183 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012184 %S A012184 1,1,11,301,14839,1109881,110852675,12696026981,1044878845295, %T A012184 344502726652559,397767671438223365,311149018395487011299, %U A012184 242840543036206414510489,203578596149994366707196439 %V A012184 1,-1,-11,-301,-14839,-1109881,-110852675,-12696026981, %W A012184 -1044878845295,344502726652559,397767671438223365, %X A012184 311149018395487011299,242840543036206414510489 %N A012184 sech(tan(arctanh(x)))=1-1/2!*x^2-11/4!*x^4-301/6!*x^6-14839/8!*x^8... %R A012184 %O A012184 0,3 %K A012184 sign,done %A A012184 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012185 %S A012185 1,1,1,2,11,16,301,272,16631,256,1543801,1758208,216765251,549115904, %T A012185 42924800101,178127730688,11404529749871,68157333438464, %U A012185 3916428205369201,31349506823815168,1688780438764074491 %V A012185 1,1,1,-2,-11,16,301,-272,-16631,256,1543801,1758208,-216765251, %W A012185 -549115904,42924800101,178127730688,-11404529749871,-68157333438464, %X A012185 3916428205369201,31349506823815168,-1688780438764074491 %N A012185 exp(arctan(sin(x)))=1+x+1/2!*x^2-2/3!*x^3-11/4!*x^4+16/5!*x^5... %R A012185 %O A012185 0,4 %K A012185 sign,done %A A012185 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012186 %S A012186 1,2,24,888,60672,6741888,1108807296,252757302528,76277556436992, %T A012186 29437978293841920,14141695133810196480,8275095832054525329408, %U A012186 5794473015450853604229120,4783983666168200777302867968 %V A012186 1,-2,24,-888,60672,-6741888,1108807296,-252757302528, %W A012186 76277556436992,-29437978293841920,14141695133810196480, %X A012186 -8275095832054525329408,5794473015450853604229120 %N A012186 arcsin(arctan(sin(x)))=x-2/3!*x^3+24/5!*x^5-888/7!*x^7+60672/9!*x^9... %R A012186 %O A012186 0,2 %K A012186 sign,done %A A012186 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012187 %S A012187 1,5,129,8133,941601,173748453,46802237793,17335271239653, %T A012187 8453548403430081,5250998394750249285,4048144275997010258625, %U A012187 3792939800731791655328133,4245216299498829593948709345 %V A012187 1,-5,129,-8133,941601,-173748453,46802237793,-17335271239653, %W A012187 8453548403430081,-5250998394750249285,4048144275997010258625, %X A012187 -3792939800731791655328133,4245216299498829593948709345 %N A012187 arctan(atan(sin(x)))=x-5/3!*x^3+129/5!*x^5-8133/7!*x^7+941601/9!*x^9... %R A012187 %O A012187 0,2 %K A012187 sign,done %A A012187 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012188 %S A012188 1,2,16,272,256,1758208,549115904,178127730688,68157333438464, %T A012188 31349506823815168,17274394522483687424,11298666083444901019648, %U A012188 8681212227186028691062784,7756335594110841587790512128 %V A012188 1,-2,16,-272,256,1758208,-549115904,178127730688,-68157333438464, %W A012188 31349506823815168,-17274394522483687424,11298666083444901019648, %X A012188 -8681212227186028691062784,7756335594110841587790512128 %N A012188 sinh(arctan(sin(x)))=x-2/3!*x^3+16/5!*x^5-272/7!*x^7+256/9!*x^9... %R A012188 %O A012188 0,2 %K A012188 sign,done %A A012188 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012189 %S A012189 1,4,84,4488,450768,73573248,17815591104,6013430329728, %T A012189 2703233646006528,1562922378845445120,1130630051482809369600, %U A012189 1000815673354945580034048,1064286361791704604763115520 %V A012189 1,-4,84,-4488,450768,-73573248,17815591104,-6013430329728, %W A012189 2703233646006528,-1562922378845445120,1130630051482809369600, %X A012189 -1000815673354945580034048,1064286361791704604763115520 %N A012189 arcsinh(arctan(sin(x)))=x-4/3!*x^3+84/5!*x^5-4488/7!*x^7+450768/9!*x^9... %R A012189 %O A012189 0,2 %K A012189 sign,done %A A012189 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012190 %S A012190 1,5,121,6845,690481,108594485,24502918441,7495966306925, %T A012190 2984112329052001,1498441322462840165,926096248873419539161, %U A012190 690670275602276172370205,611502034169544516212107921 %V A012190 1,-5,121,-6845,690481,-108594485,24502918441,-7495966306925, %W A012190 2984112329052001,-1498441322462840165,926096248873419539161, %X A012190 -690670275602276172370205,611502034169544516212107921 %N A012190 tanh(arctan(sin(x)))=x-5/3!*x^3+121/5!*x^5-6845/7!*x^7+690481/9!*x^9... %R A012190 %O A012190 0,2 %K A012190 sign,done %A A012190 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012191 %S A012191 1,1,9,393,25329,2720433,438412857,97949820153,29044709480289, %T A012191 11037393803823585,5229024617702601705,3021459365652314206953, %U A012191 2091487425283069032286545,1708553607407338796161442193 %V A012191 1,-1,9,-393,25329,-2720433,438412857,-97949820153,29044709480289, %W A012191 -11037393803823585,5229024617702601705,-3021459365652314206953, %X A012191 2091487425283069032286545,-1708553607407338796161442193 %N A012191 arctanh(atan(sin(x)))=x-1/3!*x^3+9/5!*x^5-393/7!*x^7+25329/9!*x^9... %R A012191 %O A012191 0,3 %K A012191 sign,done %A A012191 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012192 %S A012192 1,1,11,301,16631,1543801,216765251,42924800101,11404529749871, %T A012192 3916428205369201,1688780438764074491,893492390128997891101, %U A012192 569179458246274338443111,429766550332741063792045801 %V A012192 1,1,-11,301,-16631,1543801,-216765251,42924800101,-11404529749871, %W A012192 3916428205369201,-1688780438764074491,893492390128997891101, %X A012192 -569179458246274338443111,429766550332741063792045801 %N A012192 cosh(arctan(sin(x)))=1+1/2!*x^2-11/4!*x^4+301/6!*x^6-16631/8!*x^8... %R A012192 %O A012192 0,3 %K A012192 sign,done %A A012192 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012193 %S A012193 1,1,17,721,58337,7657441,1482169457,396854618161,140415423261377, %T A012193 63432792091634881,35619694647751942097,24334169873267896659601, %U A012193 19872330538404158435859617,19116452685135917427638044321 %V A012193 1,-1,17,-721,58337,-7657441,1482169457,-396854618161, %W A012193 140415423261377,-63432792091634881,35619694647751942097, %X A012193 -24334169873267896659601,19872330538404158435859617 %N A012193 sech(arctan(sin(x)))=1-1/2!*x^2+17/4!*x^4-721/6!*x^6+58337/8!*x^8... %R A012193 %O A012193 0,3 %K A012193 sign,done %A A012193 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012194 %S A012194 1,1,1,0,3,4,69,136,1159,1744,115081,652864,3250827,16365504, %T A012194 1156388557,12624963456,12628752143,910310355200,42394317198097, %U A012194 735663001262080,2830775181039853,125940707707991040 %V A012194 1,1,1,0,-3,4,69,136,-1159,1744,115081,652864,-3250827,16365504, %W A012194 1156388557,12624963456,-12628752143,910310355200,42394317198097, %X A012194 735663001262080,2830775181039853,125940707707991040 %N A012194 exp(arctan(arcsin(x)))=1+x+1/2!*x^2-3/4!*x^4+4/5!*x^5+69/6!*x^6... %R A012194 %O A012194 0,5 %K A012194 sign,done %A A012194 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012195 %S A012195 1,0,12,80,13776,566272,127692224,15090459904,4735792068864, %T A012195 1137376547676160,493601667145247744,198575926723414577152, %U A012195 116701919243205334355968,69932277446693762007433216 %N A012195 arcsin(arctan(arcsin(x)))=x+12/5!*x^5+80/7!*x^7+13776/9!*x^9... %R A012195 %O A012195 0,3 %K A012195 nonn %A A012195 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012196 %S A012196 1,3,57,2419,198801,25335395,4816346441,1245230547347, %T A012196 427817295559329,186336568593526211,101138532707457916121, %U A012196 66575531182102753799603,52444802490227536269748273 %V A012196 1,-3,57,-2419,198801,-25335395,4816346441,-1245230547347, %W A012196 427817295559329,-186336568593526211,101138532707457916121, %X A012196 -66575531182102753799603,52444802490227536269748273 %N A012196 arctan(atan(arcsin(x)))=x-3/3!*x^3+57/5!*x^5-2419/7!*x^7+198801/9!*x^9... %R A012196 %O A012196 0,2 %K A012196 sign,done %A A012196 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012197 %S A012197 1,0,4,136,1744,652864,16365504,12624963456,910310355200, %T A012197 735663001262080,125940707707991040,105433974790312437760, %U A012197 34875639805462923857920,32117899260249401371770880 %N A012197 sinh(arctan(arcsin(x)))=x+4/5!*x^5+136/7!*x^7+1744/9!*x^9+652864/11!*x^11... %R A012197 %O A012197 0,3 %K A012197 nonn %A A012197 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012198 %S A012198 1,2,32,1056,77696,8411776,1476954112,342658078720,110693077745664, %T A012198 44684649940516864,23059986721115963392,14340030701132323422208, %U A012198 10822861233504969629892608,9585637949702898487678468096 %V A012198 1,-2,32,-1056,77696,-8411776,1476954112,-342658078720, %W A012198 110693077745664,-44684649940516864,23059986721115963392, %X A012198 -14340030701132323422208,10822861233504969629892608 %N A012198 arcsinh(arctan(arcsin(x)))=x-2/3!*x^3+32/5!*x^5-1056/7!*x^7+77696/9!*x^9... %R A012198 %O A012198 0,2 %K A012198 sign,done %A A012198 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012199 %S A012199 1,3,49,1691,108961,10415699,1476822801,274051642731,68034310337345, %T A012199 20698489943585315,7945165226724184305,3587174193714146380475, %U A012199 1968139895275233488888545,1234522114580149082237390195 %V A012199 1,-3,49,-1691,108961,-10415699,1476822801,-274051642731, %W A012199 68034310337345,-20698489943585315,7945165226724184305, %X A012199 -3587174193714146380475,1968139895275233488888545 %N A012199 tanh(arctan(arcsin(x)))=x-3/3!*x^3+49/5!*x^5-1691/7!*x^7+108961/9!*x^9... %R A012199 %O A012199 0,2 %K A012199 sign,done %A A012199 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012200 %S A012200 1,1,17,393,25601,2044241,289407505,49702166681,12331304386689, %T A012200 3665631364571297,1415269826057944465,644290354204397460137, %U A012200 358377106160586506065793,231185244070754402809628657 %N A012200 arctanh(atan(arcsin(x)))=x+1/3!*x^3+17/5!*x^5+393/7!*x^7+25601/9!*x^9... %R A012200 %O A012200 0,3 %K A012200 nonn %A A012200 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012201 %S A012201 1,1,3,69,1159,115081,3250827,1156388557,12628752143,42394317198097, %T A012201 2830775181039853,4335882574518729045,967557162609958010985, %U A012201 1031578849176135526526105,465274233360336682877940325 %V A012201 1,1,-3,69,-1159,115081,-3250827,1156388557,-12628752143, %W A012201 42394317198097,2830775181039853,4335882574518729045, %X A012201 967557162609958010985,1031578849176135526526105 %N A012201 cosh(arctan(arcsin(x)))=1+1/2!*x^2-3/4!*x^4+69/6!*x^6-1159/8!*x^8... %R A012201 %O A012201 0,3 %K A012201 sign,done %A A012201 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012202 %S A012202 1,1,9,249,11953,992401,115133433,19289685193,4104153335777, %T A012202 1154213252748193,390283459641717353,165544701587974757145, %U A012202 81456402896849322863505,48584594120969426596224305 %V A012202 1,-1,9,-249,11953,-992401,115133433,-19289685193,4104153335777, %W A012202 -1154213252748193,390283459641717353,-165544701587974757145, %X A012202 81456402896849322863505,-48584594120969426596224305 %N A012202 sech(arctan(arcsin(x)))=1-1/2!*x^2+9/4!*x^4-249/6!*x^6+11953/8!*x^8... %R A012202 %O A012202 0,3 %K A012202 sign,done %A A012202 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012203 %S A012203 1,1,1,3,15,49,609,1859,48031,119617,6247681,10283171,1214813487, %T A012203 678311217,330587407201,246695568861,120086685689663,270153706006015, %U A012203 56186566871496961,221300400903581245,32929237073496552527 %V A012203 1,1,1,-3,-15,49,609,-1859,-48031,119617,6247681,-10283171, %W A012203 -1214813487,678311217,330587407201,246695568861,-120086685689663, %X A012203 -270153706006015,56186566871496961,221300400903581245 %N A012203 exp(arctan(atan(x)))=1+x+1/2!*x^2-3/3!*x^3-15/4!*x^4+49/5!*x^5... %R A012203 %O A012203 0,4 %K A012203 sign,done %A A012203 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012204 %S A012204 1,3,57,2755,251601,37281923,8163849353,2479580033411, %T A012204 997801392400929,513852593272870403,329599574990913085529, %U A012204 257652341842242812773955,241116753509976748759134193 %V A012204 1,-3,57,-2755,251601,-37281923,8163849353,-2479580033411, %W A012204 997801392400929,-513852593272870403,329599574990913085529, %X A012204 -257652341842242812773955,241116753509976748759134193 %N A012204 arcsin(arctan(atan(x)))=x-3/3!*x^3+57/5!*x^5-2755/7!*x^7+251601/9!*x^9... %R A012204 %O A012204 0,2 %K A012204 sign,done %A A012204 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012205 %S A012205 1,6,192,14704,2058624,457982720,148443124736,66066559066112, %T A012205 38672430452342784,28812765976119148544,26627757204719641296896, %U A012205 29895731887419723149213696,40082507396600200285753704448 %V A012205 1,-6,192,-14704,2058624,-457982720,148443124736,-66066559066112, %W A012205 38672430452342784,-28812765976119148544,26627757204719641296896, %X A012205 -29895731887419723149213696,40082507396600200285753704448 %N A012205 arctan(atan(atan(x)))=x-6/3!*x^3+192/5!*x^5-14704/7!*x^7... %R A012205 %O A012205 0,2 %K A012205 sign,done %A A012205 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012206 %S A012206 1,3,49,1859,119617,10283171,678311217,246695568861,270153706006015, %T A012206 221300400903581245,191103844337252819535,185242544952868387351165, %U A012206 204711474044267911803243455,258363042840039258153244751005 %V A012206 1,-3,49,-1859,119617,-10283171,678311217,246695568861, %W A012206 -270153706006015,221300400903581245,-191103844337252819535, %X A012206 185242544952868387351165,-204711474044267911803243455 %N A012206 sinh(arctan(atan(x)))=x-3/3!*x^3+49/5!*x^5-1859/7!*x^7+119617/9!*x^9... %R A012206 %O A012206 0,2 %K A012206 sign,done %A A012206 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012207 %S A012207 1,5,137,9141,1130993,225155941,66037540345,26862446793685, %T A012207 14500070037397089,10041538909269213637,8686453887771982767337, %U A012207 9185311291945403768547829,11662015255583014905028727633 %V A012207 1,-5,137,-9141,1130993,-225155941,66037540345,-26862446793685, %W A012207 14500070037397089,-10041538909269213637,8686453887771982767337, %X A012207 -9185311291945403768547829,11662015255583014905028727633 %N A012207 arcsinh(arctan(atan(x)))=x-5/3!*x^3+137/5!*x^5-9141/7!*x^7... %R A012207 %O A012207 0,2 %K A012207 sign,done %A A012207 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012208 %S A012208 1,6,184,13136,1679488,335723264,96492653568,37665610561536, %T A012208 19158060131778560,12304193595906129920,9734505561510299566080, %U A012208 9299736312230986726768640,10553185490408007072659537920 %V A012208 1,-6,184,-13136,1679488,-335723264,96492653568,-37665610561536, %W A012208 19158060131778560,-12304193595906129920,9734505561510299566080, %X A012208 -9299736312230986726768640,10553185490408007072659537920 %N A012208 tanh(arctan(atan(x)))=x-6/3!*x^3+184/5!*x^5-13136/7!*x^7... %R A012208 %O A012208 0,2 %K A012208 sign,done %A A012208 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012209 %S A012209 1,2,32,1392,118400,16678144,3517084672,1037502889984, %T A012209 407811782836224,205957880207835136,129921324821854289920, %U A012209 100089923129501690626048,92456928301505596639674368 %V A012209 1,-2,32,-1392,118400,-16678144,3517084672,-1037502889984, %W A012209 407811782836224,-205957880207835136,129921324821854289920, %X A012209 -100089923129501690626048,92456928301505596639674368 %N A012209 arctanh(atan(atan(x)))=x-2/3!*x^3+32/5!*x^5-1392/7!*x^7+118400/9!*x^9... %R A012209 %O A012209 0,2 %K A012209 sign,done %A A012209 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012210 %S A012210 1,1,15,609,48031,6247681,1214813487,330587407201,120086685689663, %T A012210 56186566871496961,32929237073496552527,23637878950680710828385, %U A012210 20404361373477159717443295,20856927128483885018525231105 %V A012210 1,1,-15,609,-48031,6247681,-1214813487,330587407201, %W A012210 -120086685689663,56186566871496961,-32929237073496552527, %X A012210 23637878950680710828385,-20404361373477159717443295 %N A012210 cosh(arctan(atan(x)))=1+1/2!*x^2-15/4!*x^4+609/6!*x^6-48031/8!*x^8... %R A012210 %O A012210 0,3 %K A012210 sign,done %A A012210 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012211 %S A012211 1,1,21,1149,119305,20082841,4984310493,1711500674389, %T A012211 776816116717457,450301381427975089,324553968807761095973, %U A012211 284661632752853556677805,298518404617173649259722905 %V A012211 1,-1,21,-1149,119305,-20082841,4984310493,-1711500674389, %W A012211 776816116717457,-450301381427975089,324553968807761095973, %X A012211 -284661632752853556677805,298518404617173649259722905 %N A012211 sech(arctan(atan(x)))=1-1/2!*x^2+21/4!*x^4-1149/6!*x^6+119305/8!*x^8... %R A012211 %O A012211 0,3 %K A012211 sign,done %A A012211 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012213 %S A012213 1,1,1,2,11,24,349,664,22007,28416,2312601,942336,365164227, %T A012213 260697984,80916522933,165900454656,23968582079343,85943912448000, %U A012213 9151870592718513,48584004553543680,4378918837383018747 %V A012213 1,1,1,-2,-11,24,349,-664,-22007,28416,2312601,-942336,-365164227, %W A012213 -260697984,80916522933,165900454656,-23968582079343,-85943912448000, %X A012213 9151870592718513,48584004553543680,-4378918837383018747 %N A012213 exp(arctan(arcsinh(x)))=1+x+1/2!*x^2-2/3!*x^3-11/4!*x^4+24/5!*x^5... %R A012213 %O A012213 0,4 %K A012213 sign,done %A A012213 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012214 %S A012214 1,2,32,1280,96896,11867008,2142673920,535571951616,177110831202304, %T A012214 74879716881661952,39403647907518971904,25258353322454300164096, %U A012214 19376893280575897343623168,17528654780407614910558633984 %V A012214 1,-2,32,-1280,96896,-11867008,2142673920,-535571951616, %W A012214 177110831202304,-74879716881661952,39403647907518971904, %X A012214 -25258353322454300164096,19376893280575897343623168 %N A012214 arcsin(arctan(arcsinh(x)))=x-2/3!*x^3+32/5!*x^5-1280/7!*x^7+96896/9!*x^9... %R A012214 %O A012214 0,2 %K A012214 sign,done %A A012214 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012215 %S A012215 1,5,137,9029,1089713,209177605,58539026361,22507046465157, %T A012215 11386223123252449,7334290106238920453,5861710212500532385641, %U A012215 5692596379677558396424645,6602985113623111671589590673 %V A012215 1,-5,137,-9029,1089713,-209177605,58539026361,-22507046465157, %W A012215 11386223123252449,-7334290106238920453,5861710212500532385641, %X A012215 -5692596379677558396424645,6602985113623111671589590673 %N A012215 arctan(atan(arcsinh(x)))=x-5/3!*x^3+137/5!*x^5-9029/7!*x^7... %R A012215 %O A012215 0,2 %K A012215 sign,done %A A012215 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012216 %S A012216 1,2,24,664,28416,942336,260697984,165900454656,85943912448000, %T A012216 48584004553543680,31574321393019125760,23832746038658540666880, %U A012216 20858343927838973179822080,21048655959583804491297914880 %V A012216 1,-2,24,-664,28416,-942336,-260697984,165900454656,-85943912448000, %W A012216 48584004553543680,-31574321393019125760,23832746038658540666880, %X A012216 -20858343927838973179822080,21048655959583804491297914880 %N A012216 sinh(arctan(arcsinh(x)))=x-2/3!*x^3+24/5!*x^5-664/7!*x^7+28416/9!*x^9... %R A012216 %O A012216 0,2 %K A012216 sign,done %A A012216 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012217 %S A012217 1,4,92,5216,551504,94170176,23756009664,8329952294400, %T A012217 3882725102061824,2324928136769545216,1740643970081187412992, %U A012217 1594058498088175066406912,1753510369493317462917828608 %V A012217 1,-4,92,-5216,551504,-94170176,23756009664,-8329952294400, %W A012217 3882725102061824,-2324928136769545216,1740643970081187412992, %X A012217 -1594058498088175066406912,1753510369493317462917828608 %N A012217 arcsinh(arctan(arcsinh(x)))=x-4/3!*x^3+92/5!*x^5-5216/7!*x^7... %R A012217 %O A012217 0,2 %K A012217 sign,done %A A012217 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012218 %S A012218 1,5,129,7741,830529,139115349,33466193409,10924199283981, %T A012218 4643317555286145,2490727724722757925,1645111995753399461505, %U A012218 1311624218654589461390685,1241813393715548870981284545 %V A012218 1,-5,129,-7741,830529,-139115349,33466193409,-10924199283981, %W A012218 4643317555286145,-2490727724722757925,1645111995753399461505, %X A012218 -1311624218654589461390685,1241813393715548870981284545 %N A012218 tanh(arctan(arcsinh(x)))=x-5/3!*x^3+129/5!*x^5-7741/7!*x^7... %R A012218 %O A012218 0,2 %K A012218 sign,done %A A012218 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012219 %S A012219 1,1,17,617,44417,5210129,909126033,220910314809,71341157623169, %T A012219 29556627270426145,15282372258542389905,9645984260739983339273, %U A012219 7298836347461102485422593,6521512480584315170326457393 %V A012219 1,-1,17,-617,44417,-5210129,909126033,-220910314809,71341157623169, %W A012219 -29556627270426145,15282372258542389905,-9645984260739983339273, %X A012219 7298836347461102485422593,-6521512480584315170326457393 %N A012219 arctanh(atan(arcsinh(x)))=x-1/3!*x^3+17/5!*x^5-617/7!*x^7+44417/9!*x^9... %R A012219 %O A012219 0,3 %K A012219 sign,done %A A012219 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012220 %S A012220 1,1,11,349,22007,2312601,365164227,80916522933,23968582079343, %T A012220 9151870592718513,4378918837383018747,2566828786036427906445, %U A012220 1809533477302236292739175,1510703360292377534570508105 %V A012220 1,1,-11,349,-22007,2312601,-365164227,80916522933,-23968582079343, %W A012220 9151870592718513,-4378918837383018747,2566828786036427906445, %X A012220 -1809533477302236292739175,1510703360292377534570508105 %N A012220 cosh(arctan(arcsinh(x)))=1+1/2!*x^2-11/4!*x^4+349/6!*x^6-22007/8!*x^8... %R A012220 %O A012220 0,3 %K A012220 sign,done %A A012220 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012221 %S A012221 1,1,17,769,66401,9313281,1927198833,551835917697,208856369686977, %T A012221 100945109069282817,60655475821737151953,44346899335054478649345, %U A012221 38762487400695339770533665,39914218831469773917477538305 %V A012221 1,-1,17,-769,66401,-9313281,1927198833,-551835917697, %W A012221 208856369686977,-100945109069282817,60655475821737151953, %X A012221 -44346899335054478649345,38762487400695339770533665 %N A012221 sech(arctan(arcsinh(x)))=1-1/2!*x^2+17/4!*x^4-769/6!*x^6+66401/8!*x^8... %R A012221 %O A012221 0,3 %K A012221 sign,done %A A012221 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012222 %S A012222 1,1,1,3,15,41,561,1243,40415,58001,4825121,1956083,866056815, %T A012222 740509639,218527875281,509169335477,73838559553215,295854887910879, %U A012222 32207514779999041,189240977761969437,17624680185473393615 %V A012222 1,1,1,-3,-15,41,561,-1243,-40415,58001,4825121,-1956083,-866056815, %W A012222 -740509639,218527875281,509169335477,-73838559553215, %X A012222 -295854887910879,32207514779999041,189240977761969437 %N A012222 exp(arctan(tanh(x)))=1+x+1/2!*x^2-3/3!*x^3-15/4!*x^4+41/5!*x^5... %R A012222 %O A012222 0,4 %K A012222 sign,done %A A012222 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012223 %S A012223 1,3,49,2139,181921,25347539,5231635473,1498270773419, %T A012223 568381637171521,275844413823596835,166680279670474243825, %U A012223 122705715387723016322939,108112687783657068510670305 %V A012223 1,-3,49,-2139,181921,-25347539,5231635473,-1498270773419, %W A012223 568381637171521,-275844413823596835,166680279670474243825, %X A012223 -122705715387723016322939,108112687783657068510670305 %N A012223 arcsin(arctan(tanh(x)))=x-3/3!*x^3+49/5!*x^5-2139/7!*x^7+181921/9!*x^9... %R A012223 %O A012223 0,2 %K A012223 sign,done %A A012223 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012224 %S A012224 1,6,184,13584,1840768,397140224,124961670144,54024939321344, %T A012224 30732245464219648,22258174840910315520,20000813079319781048320, %U A012224 21837489688957057049821184,28476242253811580631861166080 %V A012224 1,-6,184,-13584,1840768,-397140224,124961670144,-54024939321344, %W A012224 30732245464219648,-22258174840910315520,20000813079319781048320, %X A012224 -21837489688957057049821184,28476242253811580631861166080 %N A012224 arctan(atan(tanh(x)))=x-6/3!*x^3+184/5!*x^5-13584/7!*x^7... %R A012224 %O A012224 0,2 %K A012224 sign,done %A A012224 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012225 %S A012225 1,3,41,1243,58001,1956083,740509639,509169335477,295854887910879, %T A012225 189240977761969437,139751997081117953719,120179815628074668521797, %U A012225 120043777513489781645646159,138432296065661630321819648557 %V A012225 1,-3,41,-1243,58001,-1956083,-740509639,509169335477, %W A012225 -295854887910879,189240977761969437,-139751997081117953719, %X A012225 120179815628074668521797,-120043777513489781645646159 %N A012225 sinh(arctan(tanh(x)))=x-3/3!*x^3+41/5!*x^5-1243/7!*x^7+58001/9!*x^9... %R A012225 %O A012225 0,2 %K A012225 sign,done %A A012225 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012226 %S A012226 1,5,129,8189,972609,186825429,53036534017,20924521480269, %T A012226 10970414196349569,7386311927549483045,6216439933812148586625, %U A012226 6398271924540885631183389,7909256594572491509610323905 %V A012226 1,-5,129,-8189,972609,-186825429,53036534017,-20924521480269, %W A012226 10970414196349569,-7386311927549483045,6216439933812148586625, %X A012226 -6398271924540885631183389,7909256594572491509610323905 %N A012226 arcsinh(arctan(tanh(x)))=x-5/3!*x^3+129/5!*x^5-8189/7!*x^7... %R A012226 %O A012226 0,2 %K A012226 sign,done %A A012226 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012227 %S A012227 1,6,176,12016,1469696,280971776,77198422016,28793654081536, %T A012227 13988424620507136,8578076577450295296,6478101995566379565056, %U A012227 5906079803365219349037056,6394716233788355978540875776 %V A012227 1,-6,176,-12016,1469696,-280971776,77198422016,-28793654081536, %W A012227 13988424620507136,-8578076577450295296,6478101995566379565056, %X A012227 -5906079803365219349037056,6394716233788355978540875776 %N A012227 tanh(arctan(tanh(x)))=x-6/3!*x^3+176/5!*x^5-12016/7!*x^7... %R A012227 %O A012227 0,2 %K A012227 sign,done %A A012227 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012228 %S A012228 1,2,24,944,77952,10623744,2145104896,602082207744,224357319278592, %T A012228 107165894175948800,63836869263529082880,46390243522547859062784, %U A012228 40392288941602607862906880,41511196632704620941545570304 %V A012228 1,-2,24,-944,77952,-10623744,2145104896,-602082207744, %W A012228 224357319278592,-107165894175948800,63836869263529082880, %X A012228 -46390243522547859062784,40392288941602607862906880 %N A012228 arctanh(atan(tanh(x)))=x-2/3!*x^3+24/5!*x^5-944/7!*x^7+77952/9!*x^9... %R A012228 %O A012228 0,2 %K A012228 sign,done %A A012228 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012229 %S A012229 1,1,15,561,40415,4825121,866056815,218527875281,73838559553215, %T A012229 32207514779999041,17624680185473393615,11826144583278421964401, %U A012229 9549876975469294700602015,9137286945784401729622059361 %V A012229 1,1,-15,561,-40415,4825121,-866056815,218527875281,-73838559553215, %W A012229 32207514779999041,-17624680185473393615,11826144583278421964401, %X A012229 -9549876975469294700602015,9137286945784401729622059361 %N A012229 cosh(arctan(tanh(x)))=1+1/2!*x^2-15/4!*x^4+561/6!*x^6-40415/8!*x^8... %R A012229 %O A012229 0,3 %K A012229 sign,done %A A012229 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012230 %S A012230 1,1,21,1101,109001,17491001,4139085981,1355308485701, %T A012230 586612833746961,324261948714025201,222851423174495787941, %U A012230 186365710421614910029501,186332939048243649892744921 %V A012230 1,-1,21,-1101,109001,-17491001,4139085981,-1355308485701, %W A012230 586612833746961,-324261948714025201,222851423174495787941, %X A012230 -186365710421614910029501,186332939048243649892744921 %N A012230 sech(arctan(tanh(x)))=1-1/2!*x^2+21/4!*x^4-1101/6!*x^6+109001/8!*x^8... %R A012230 %O A012230 0,3 %K A012230 sign,done %A A012230 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012231 %S A012231 1,1,1,1,1,9,49,281,1345,13233,105441,1179729,10336833,144386553, %T A012231 1580651409,25501409961,316289380737,5869292202465,83559601907649, %U A012231 1744083324947745,27709107620492673,643531258862953065 %N A012231 exp(arctan(atanh(x)))=1+x+1/2!*x^2+1/3!*x^3+1/4!*x^4+9/5!*x^5... %R A012231 %O A012231 0,6 %K A012231 nonn %A A012231 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012232 %S A012232 1,1,17,505,32321,3196337,474305361,96903709929,26267702181889, %T A012232 9102885308254561,3930753230143374609,2069316409758628885721, %U A012232 1305070038882436410153793,971558826878073011961325841 %N A012232 arcsin(arctan(atanh(x)))=x+1/3!*x^3+17/5!*x^5+505/7!*x^7+32321/9!*x^9... %R A012232 %O A012232 0,3 %K A012232 nonn %A A012232 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012233 %S A012233 1,2,32,944,64640,5881600,919673856,172830523392,48225099218944, %T A012233 15466881283850240,6745794347282989056,3302151520495305490432, %U A012233 2072514460288282576027648,1438958551527596730993344512 %V A012233 1,-2,32,-944,64640,-5881600,919673856,-172830523392,48225099218944, %W A012233 -15466881283850240,6745794347282989056,-3302151520495305490432, %X A012233 2072514460288282576027648,-1438958551527596730993344512 %N A012233 arctan(atan(atanh(x)))=x-2/3!*x^3+32/5!*x^5-944/7!*x^7+64640/9!*x^9... %R A012233 %O A012233 0,2 %K A012233 sign,done %A A012233 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012234 %S A012234 1,1,9,281,13233,1179729,144386553,25501409961,5869292202465, %T A012234 1744083324947745,643531258862953065,289976769842011018425, %U A012234 156375721502624955046545,99525811638120512862203505 %N A012234 sinh(arctan(atanh(x)))=x+1/3!*x^3+9/5!*x^5+281/7!*x^7+13233/9!*x^9... %R A012234 %O A012234 0,3 %K A012234 nonn %A A012234 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012235 %S A012235 1,1,17,281,24257,1331441,275798481,33388170825,12274116245249, %T A012235 2689107736315873,1507045832586910737,530866838718138680441, %U A012235 415346005609060387325633,217242204344672574488013521 %V A012235 1,-1,17,-281,24257,-1331441,275798481,-33388170825,12274116245249, %W A012235 -2689107736315873,1507045832586910737,-530866838718138680441, %X A012235 415346005609060387325633,-217242204344672574488013521 %N A012235 arcsinh(arctan(atanh(x)))=x-1/3!*x^3+17/5!*x^5-281/7!*x^7+24257/9!*x^9... %R A012235 %O A012235 0,3 %K A012235 sign,done %A A012235 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012236 %S A012236 1,2,24,496,24192,1246464,150408192,12132673536,3380973895680, %T A012236 253363927449600,217523969745223680,4682388187242823680, %U A012236 35388810383588767825920,8821171867345211810119680 %V A012236 1,-2,24,-496,24192,-1246464,150408192,-12132673536,3380973895680, %W A012236 -253363927449600,217523969745223680,4682388187242823680, %X A012236 35388810383588767825920,8821171867345211810119680 %N A012236 tanh(arctan(atanh(x)))=x-2/3!*x^3+24/5!*x^5-496/7!*x^7+24192/9!*x^9... %R A012236 %O A012236 0,2 %K A012236 sign,done %A A012236 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012237 %S A012237 1,2,32,1168,80768,8855296,1420471296,312821661696,90619729117184, %T A012237 33397289918332928,15260151754256547840,8466388564521610903552, %U A012237 5606464118961336397856768,4368144479139164180218642432 %N A012237 arctanh(atan(atanh(x)))=x+2/3!*x^3+32/5!*x^5+1168/7!*x^7+80768/9!*x^9... %R A012237 %O A012237 0,2 %K A012237 nonn %A A012237 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012238 %S A012238 1,1,1,49,1345,105441,10336833,1580651409,316289380737, %T A012238 83559601907649,27709107620492673,11345006679686949105, %U A012238 5605389007592066373825,3292126822668986935347105 %N A012238 cosh(arctan(atanh(x)))=1+1/2!*x^2+1/4!*x^4+49/6!*x^6+1345/8!*x^8... %R A012238 %O A012238 0,4 %K A012238 nonn %A A012238 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012239 %S A012239 1,1,5,109,2729,196281,9832173,1827291621,102520239057, %T A012239 58512018759921,121510420621227,5298654687807230685, %U A012239 895543588646311726215,1180050438628226991259305 %V A012239 1,-1,5,-109,2729,-196281,9832173,-1827291621,102520239057, %W A012239 -58512018759921,-121510420621227,-5298654687807230685, %X A012239 -895543588646311726215,-1180050438628226991259305 %N A012239 sech(arctan(atanh(x)))=1-1/2!*x^2+5/4!*x^4-109/6!*x^6+2729/8!*x^8... %R A012239 %O A012239 0,3 %K A012239 sign,done %A A012239 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012240 %S A012240 1,10,232,10064,720384,78009600,11977120768,2480763381760, %T A012240 666957211828224,225809770695098368,93981332166180077568, %U A012240 47151835657444566499328,28061010401657661222289408 %N A012240 log(cos(tan(x)))=-1/2!*x^2-10/4!*x^4-232/6!*x^6-10064/8!*x^8... %R A012240 %O A012240 0,2 %K A012240 sign,done %A A012240 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012241 %S A012241 1,2,40,1360,87680,8723200,1254323200,245463296000,62768582656000, %T A012241 20318491009024000,8121379360440320000,3928322245164728320000, %U A012241 2261534088991670272000000,1528114689443919429632000000 %V A012241 -1,2,-40,1360,-87680,8723200,-1254323200,245463296000, %W A012241 -62768582656000,20318491009024000,-8121379360440320000, %X A012241 3928322245164728320000,-2261534088991670272000000 %N A012241 log(cos(arcsinh(x)))=-1/2!*x^2+2/4!*x^4-40/6!*x^6+1360/8!*x^8... %R A012241 %O A012241 0,2 %K A012241 sign,done %A A012241 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012242 %S A012242 1,6,72,1456,47104,2390784,180612096,18625189888,2431403622400, %T A012242 384624656646144,72343735465672704,16067422146130345984, %U A012242 4193787904779561730048,1276366494840535652499456 %V A012242 -1,6,-72,1456,-47104,2390784,-180612096,18625189888,-2431403622400, %W A012242 384624656646144,-72343735465672704,16067422146130345984, %X A012242 -4193787904779561730048,1276366494840535652499456 %N A012242 log(cos(tanh(x)))=-1/2!*x^2+6/4!*x^4-72/6!*x^6+1456/8!*x^8... %R A012242 %O A012242 0,2 %K A012242 sign,done %A A012242 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012243 %S A012243 1,10,280,15440,1412480,193606400,37162777600,9519986944000, %T A012243 3139364220928000,1295834618224640000,654668849830461440000, %U A012243 397456058751397068800000,285567610965661253632000000 %N A012243 log(cos(arctanh(x)))=-1/2!*x^2-10/4!*x^4-280/6!*x^6-15440/8!*x^8... %R A012243 %O A012243 0,2 %K A012243 sign,done %A A012243 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012246 %S A012246 1,1,1,3,9,41,201,1291,8753,73169,634481,6551251,69292281,852920953, %T A012246 10655767929,152425617371,2197620415201,35839758063521, %U A012246 585914236294753,10733139641944739,196238045270790761 %N A012246 exp(sinh(arcsin(x)))=1+x+1/2!*x^2+3/3!*x^3+9/4!*x^4+41/5!*x^5... %R A012246 %O A012246 0,4 %K A012246 nonn %A A012246 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012247 %S A012247 1,1,1,0,3,4,21,136,185,7408,67159,644416,11805621,84562880, %T A012247 2380474563,15811723136,591392066161,4005496370944,181472052075695, %U A012247 1317763889887232,68002767860495981,544096638435718144 %V A012247 1,1,1,0,-3,-4,21,136,185,-7408,-67159,644416,11805621,-84562880, %W A012247 -2380474563,15811723136,591392066161,-4005496370944, %X A012247 -181472052075695,1317763889887232,68002767860495981 %N A012247 exp(sinh(arctan(x)))=1+x+1/2!*x^2-3/4!*x^4-4/5!*x^5+21/6!*x^6... %R A012247 %O A012247 0,5 %K A012247 sign,done %A A012247 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012248 %S A012248 1,1,1,1,1,9,49,225,897,11025,96801,893025,6803457,108056025, %T A012248 1275363153,18261468225,207592347393,4108830350625,60889593787713, %U A012248 1187451971330625,17888210916886017,428670161650355625 %N A012248 exp(arcsinh(arcsin(x)))=1+x+1/2!*x^2+1/3!*x^3+1/4!*x^4+9/5!*x^5... %R A012248 %O A012248 0,6 %K A012248 nonn %A A012248 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012251 %S A012251 1,1,1,2,11,24,349,720,22455,40320,2465241,3628800,416217603, %T A012251 479001600,100729124469,87178291200,33198564667887,20922789888000, %U A012251 14328891118054449,6402373705728000,7852649782447649403 %V A012251 1,1,1,-2,-11,24,349,-720,-22455,40320,2465241,-3628800,-416217603, %W A012251 479001600,100729124469,-87178291200,-33198564667887,20922789888000, %X A012251 14328891118054449,-6402373705728000,-7852649782447649403 %N A012251 exp(arcsinh(arctan(x)))=1+x+1/2!*x^2-2/3!*x^3-11/4!*x^4+24/5!*x^5... %R A012251 %O A012251 0,4 %K A012251 sign,done %A A012251 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012252 %S A012252 1,1,1,1,7,9,169,225,8751,11025,789681,893025,110381943,108056025, %T A012252 22142611737,18261468225,6041067843807,4108830350625, %U A012252 2153812782224097,1187451971330625,972958293249140583 %V A012252 1,1,1,-1,-7,9,169,-225,-8751,11025,789681,-893025,-110381943, %W A012252 108056025,22142611737,-18261468225,-6041067843807,4108830350625, %X A012252 2153812782224097,-1187451971330625,-972958293249140583 %N A012252 exp(arcsinh(arcsinh(x)))=1+x+1/2!*x^2-1/3!*x^3-7/4!*x^4+9/5!*x^5... %R A012252 %O A012252 0,5 %K A012252 sign,done %A A012252 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012253 %S A012253 1,1,1,2,11,16,301,272,16631,7936,1620601,353792,250557251,22368256, %T A012253 56629836901,1903757312,17602836565871,209865342976,7193368568377201, %U A012253 29088885112832,3735581618747946491,4951498053124096 %V A012253 1,1,1,-2,-11,16,301,-272,-16631,7936,1620601,-353792,-250557251, %W A012253 22368256,56629836901,-1903757312,-17602836565871,209865342976, %X A012253 7193368568377201,-29088885112832,-3735581618747946491 %N A012253 exp(arcsinh(tanh(x)))=1+x+1/2!*x^2-2/3!*x^3-11/4!*x^4+16/5!*x^5... %R A012253 %O A012253 0,4 %K A012253 sign,done %A A012253 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012254 %S A012254 1,1,1,2,5,24,109,720,4521,40320,330681,3628800,36468717,479001600, %T A012254 5721101541,87178291200,1205289090513,20922789888000,328897528901361, %U A012254 6402373705728000,112769846051251797,2432902008176640000 %N A012254 exp(arcsinh(arctanh(x)))=1+x+1/2!*x^2+2/3!*x^3+5/4!*x^4+24/5!*x^5... %R A012254 %O A012254 0,4 %K A012254 nonn %A A012254 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012255 %S A012255 1,1,1,0,3,4,21,136,185,272,9641,222016,1668021,21267520,192801597, %T A012255 3836913536,42064398961,874251520256,10576096455505,254117293340672, %U A012255 3476312353756781,92635637659667456,1396500495046819941 %V A012255 1,1,1,0,-3,-4,21,136,185,272,9641,222016,1668021,21267520, %W A012255 192801597,3836913536,42064398961,874251520256,10576096455505, %X A012255 254117293340672,3476312353756781,92635637659667456 %N A012255 exp(tanh(arcsin(x)))=1+x+1/2!*x^2-3/4!*x^4-4/5!*x^5+21/6!*x^6... %R A012255 %O A012255 0,5 %K A012255 sign,done %A A012255 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012256 %S A012256 1,1,1,3,15,41,561,1019,38623,12305,4206881,7478221,661302639, %T A012256 3005647943,140958927825,1143787246421,38921417469119, %U A012256 494108406644959,13433349471318337,250135591701350045 %V A012256 1,1,1,-3,-15,41,561,-1019,-38623,12305,4206881,7478221,-661302639, %W A012256 -3005647943,140958927825,1143787246421,-38921417469119, %X A012256 -494108406644959,13433349471318337,250135591701350045 %N A012256 exp(tanh(arctan(x)))=1+x+1/2!*x^2-3/3!*x^3-15/4!*x^4+41/5!*x^5... %R A012256 %O A012256 0,4 %K A012256 sign,done %A A012256 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012258 %S A012258 1,1,1,4,13,84,469,4152,32985,370128,3818601,51861888,658371429, %T A012258 10494283968,158197312701,2894815734912,50529852678321, %U A012258 1043916757274880,20707179214389201,476720372375608320 %N A012258 exp(arctanh(arcsin(x)))=1+x+1/2!*x^2+4/3!*x^3+13/4!*x^4+84/5!*x^5... %R A012258 %O A012258 0,4 %K A012258 nonn %A A012258 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012259 %S A012259 1,1,1,5,17,121,721,6845,58337,698161,7734241,111973685,1526099057, %T A012259 25947503401,419784870961,8200346492525,153563504618177, %U A012259 3389281372287841,72104198836466881,1774459993676715365 %N A012259 exp(arctanh(tan(x)))=1+x+1/2!*x^2+5/3!*x^3+17/4!*x^4+121/5!*x^5... %R A012259 %O A012259 0,4 %K A012259 nonn %A A012259 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012260 %S A012260 1,1,1,1,1,9,49,57,447,5169,78561,93807,5655231,31981689,1014069393, %T A012260 3857766903,187639949439,1058896281825,51144433721793, %U A012260 286891166986335,16631972691697791,108826313005021545 %V A012260 1,1,1,1,1,9,49,57,-447,5169,78561,-93807,-5655231,31981689, %W A012260 1014069393,-3857766903,-187639949439,1058896281825,51144433721793, %X A012260 -286891166986335,-16631972691697791,108826313005021545 %N A012260 exp(arctanh(atan(x)))=1+x+1/2!*x^2+1/3!*x^3+1/4!*x^4+9/5!*x^5... %R A012260 %O A012260 0,6 %K A012260 sign,done %A A012260 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012261 %S A012261 1,1,1,4,13,76,421,3424,26713,277456,2794441,35345344,436186213, %T A012261 6504742336,95033434861,1632531979264,27555582190513,535821754153216, %U A012261 10260037095841681,222769351470429184,4771143086720391613 %N A012261 exp(arctanh(sinh(x)))=1+x+1/2!*x^2+4/3!*x^3+13/4!*x^4+76/5!*x^5... %R A012261 %O A012261 0,4 %K A012261 nonn %A A012261 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012262 %S A012262 1,1,1,2,5,24,109,552,3177,28032,227961,1778688,15773229,212383872, %T A012262 2521786149,25215328512,294715261521,5734229114880,91106569198449, %U A012262 1029078328135680,14283819393505749,410202091438571520 %N A012262 exp(arctanh(arcsinh(x)))=1+x+1/2!*x^2+2/3!*x^3+5/4!*x^4+24/5!*x^5... %R A012262 %O A012262 0,4 %K A012262 nonn %A A012262 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012263 %S A012263 1,1,1,5,17,129,769,7797,66849,848481,9506241,145041093,2007271089, %T A012263 35799178401,589807203777,12045448529397,230194642564161, %U A012263 5298881528389185,115219444193968257,2952169020073027845 %N A012263 exp(arctanh(atanh(x)))=1+x+1/2!*x^2+5/3!*x^3+17/4!*x^4+129/5!*x^5... %R A012263 %O A012263 0,4 %K A012263 nonn %A A012263 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012266 %S A012266 2,6,22,100,428,1008,12504,325152,5509368,85326120,1301444520, %T A012266 20069047440,316157970000,5106165734880,84530527771200, %U A012266 1430269752307200,24598613333889120,426082994004863520 %V A012266 2,-6,22,-100,428,-1008,-12504,325152,-5509368,85326120,-1301444520, %W A012266 20069047440,-316157970000,5106165734880,-84530527771200, %X A012266 1430269752307200,-24598613333889120,426082994004863520 %N A012266 sin(log(x+1)*log(x+1))=2/2!*x^2-6/3!*x^3+22/4!*x^4-100/5!*x^5... %R A012266 %O A012266 0,1 %K A012266 sign,done %A A012266 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012267 %S A012267 2,6,22,100,668,6048,64776,763488,9918072,144472680,2365739880, %T A012267 42879666960,845124232080,17930092309920,408038138491200, %U A012267 9939819541747200,258294825756089760,7127596576224545760 %V A012267 2,-6,22,-100,668,-6048,64776,-763488,9918072,-144472680,2365739880, %W A012267 -42879666960,845124232080,-17930092309920,408038138491200, %X A012267 -9939819541747200,258294825756089760,-7127596576224545760 %N A012267 arcsin(log(x+1)*log(x+1))=2/2!*x^2-6/3!*x^3+22/4!*x^4-100/5!*x^5... %R A012267 %O A012267 0,1 %K A012267 sign,done %A A012267 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012268 %S A012268 2,6,22,100,788,8568,103416,1307808,17722512,264361680,4373968080, %T A012268 79413478560,1558387903200,32713320769920,731007454396800, %U A012268 17347090012492800,436154519763744000,11585396062022112000 %V A012268 2,-6,22,-100,788,-8568,103416,-1307808,17722512,-264361680, %W A012268 4373968080,-79413478560,1558387903200,-32713320769920, %X A012268 731007454396800,-17347090012492800,436154519763744000 %N A012268 tan(log(x+1)*log(x+1))=2/2!*x^2-6/3!*x^3+22/4!*x^4-100/5!*x^5... %R A012268 %O A012268 0,1 %K A012268 sign,done %A A012268 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012269 %S A012269 2,6,22,100,308,1512,51144,869472,12406608,155319120,1563312720, %T A012269 6008315040,296596492320,12739805608320,357984190838400, %U A012269 8317532611046400,160961311569285120,2183410259228574720 %V A012269 2,-6,22,-100,308,1512,-51144,869472,-12406608,155319120,-1563312720, %W A012269 6008315040,296596492320,-12739805608320,357984190838400, %X A012269 -8317532611046400,160961311569285120,-2183410259228574720 %N A012269 arctan(log(x+1)*log(x+1))=2/2!*x^2-6/3!*x^3+22/4!*x^4-100/5!*x^5... %R A012269 %O A012269 0,1 %K A012269 sign,done %A A012269 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012270 %S A012270 2,6,22,100,668,6048,64776,763488,9676152,131167080,1900043880, %T A012270 29387788560,484545133200,8496674716320,158018410132800, %U A012270 3107703909004800,64445168622156960,1405303346393768160 %V A012270 2,-6,22,-100,668,-6048,64776,-763488,9676152,-131167080,1900043880, %W A012270 -29387788560,484545133200,-8496674716320,158018410132800, %X A012270 -3107703909004800,64445168622156960,-1405303346393768160 %N A012270 sinh(log(x+1)*log(x+1))=2/2!*x^2-6/3!*x^3+22/4!*x^4-100/5!*x^5... %R A012270 %O A012270 0,1 %K A012270 sign,done %A A012270 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012271 %S A012271 2,6,22,100,428,1008,12504,325152,5267448,72020520,835748520, %T A012271 6577169040,36671947440,3513587807520,114499586712000, %U A012271 2893590831936000,61563908486205600,1035793335840588000 %V A012271 2,-6,22,-100,428,-1008,-12504,325152,-5267448,72020520,-835748520, %W A012271 6577169040,36671947440,-3513587807520,114499586712000, %X A012271 -2893590831936000,61563908486205600,-1035793335840588000 %N A012271 arcsinh(log(x+1)*log(x+1))=2/2!*x^2-6/3!*x^3+22/4!*x^4-100/5!*x^5... %R A012271 %O A012271 0,1 %K A012271 sign,done %A A012271 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012272 %S A012272 2,6,22,100,308,1512,51144,869472,12648528,168624720,2029008720, %T A012272 19500193440,52358834400,4526884091520,184448883292800, %U A012272 5247799551052800,128265498107293440,2787299439278250240 %V A012272 2,-6,22,-100,308,1512,-51144,869472,-12648528,168624720,-2029008720, %W A012272 19500193440,-52358834400,-4526884091520,184448883292800, %X A012272 -5247799551052800,128265498107293440,-2787299439278250240 %N A012272 tanh(log(x+1)*log(x+1))=2/2!*x^2-6/3!*x^3+22/4!*x^4-100/5!*x^5... %R A012272 %O A012272 0,1 %K A012272 sign,done %A A012272 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012273 %S A012273 1,0,0,0,12,120,1020,8820,89628,1109808,15992160,253374000, %T A012273 4306032192,78317306496,1529483150832,32072509450800,719140990648848, %U A012273 17146103389588608,432647748528869376,11515070256983422848 %V A012273 1,0,0,0,12,-120,1020,-8820,89628,-1109808,15992160,-253374000, %W A012273 4306032192,-78317306496,1529483150832,-32072509450800, %X A012273 719140990648848,-17146103389588608,432647748528869376 %N A012273 sec(log(x+1)*log(x+1))=1+12/4!*x^4-120/5!*x^5+1020/6!*x^6... %R A012273 %O A012273 0,5 %K A012273 sign,done %A A012273 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012274 %S A012274 1,0,0,0,12,120,1020,8820,72828,505008,1376160,51546000,1698674208, %T A012274 38050144704,739129595568,12975913969200,200099389809552, %U A012274 2317325113329792,740464178471424,1189280406618488448 %V A012274 1,0,0,0,-12,120,-1020,8820,-72828,505008,-1376160,-51546000, %W A012274 1698674208,-38050144704,739129595568,-12975913969200, %X A012274 200099389809552,-2317325113329792,740464178471424 %N A012274 sech(log(x+1)*log(x+1))=1-12/4!*x^4+120/5!*x^5-1020/6!*x^6... %R A012274 %O A012274 0,5 %K A012274 sign,done %A A012274 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012275 %S A012275 1,1,3,6,53,235,2709,20188,278249,3019693,48281695,692436338, %T A012275 12717929157,225943945071,4727712830281,99660715587704, %U A012275 2354596166060273,57197420701626009,1511830772603161339 %N A012275 arcsin(exp(x)*log(x+1))=x+1/2!*x^2+3/3!*x^3+6/4!*x^4+53/5!*x^5... %R A012275 %O A012275 0,3 %K A012275 nonn %A A012275 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012276 %S A012276 1,1,0,12,37,55,2352,11872,55963,1946147,12422168,127425716, %T A012276 4206315423,29351640435,573767182376,18652736291104,126637724451319, %U A012276 4546934751296505,146709365362329136,844892028127883860 %V A012276 1,1,0,-12,-37,55,2352,11872,-55963,-1946147,-12422168,127425716, %W A012276 4206315423,29351640435,-573767182376,-18652736291104, %X A012276 -126637724451319,4546934751296505,146709365362329136 %N A012276 arctan(exp(x)*log(x+1))=x+1/2!*x^2-12/4!*x^4-37/5!*x^5+55/6!*x^6... %R A012276 %O A012276 0,4 %K A012276 sign,done %A A012276 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012277 %S A012277 1,1,1,6,17,35,901,4284,4201,614267,4098107,8297630,1150691631, %T A012277 9449070657,66322881767,4588041616648,41917690024495,618354247728873, %U A012277 33330584633391337,310446365545119298,8378074470693115057 %V A012277 1,1,1,-6,-17,-35,901,4284,4201,-614267,-4098107,8297630,1150691631, %W A012277 9449070657,-66322881767,-4588041616648,-41917690024495, %X A012277 618354247728873,33330584633391337,310446365545119298 %N A012277 arcsinh(exp(x)*log(x+1))=x+1/2!*x^2+1/3!*x^3-6/4!*x^4-17/5!*x^5... %R A012277 %O A012277 0,4 %K A012277 sign,done %A A012277 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012278 %S A012278 1,1,4,12,103,595,6508,58800,786973,9744373,155024956,2434745852, %T A012278 45189575715,856361535783,18256766891140,403804360914560, %U A012278 9755015402674937,246067759361332137,6656604425348335060 %N A012278 arctanh(exp(x)*log(x+1))=x+1/2!*x^2+4/3!*x^3+12/4!*x^4+103/5!*x^5... %R A012278 %O A012278 0,3 %K A012278 nonn %A A012278 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012279 %S A012279 1,0,1,3,16,70,580,3850,39940,350544,4408460,48605788,715662176, %T A012279 9518173080,160469679136,2503106438040,47524013744272, %U A012279 851125166412928,17967763294589776,363412179220061872 %N A012279 sec(exp(x)*log(x+1))=1+1/2!*x^2+3/3!*x^3+16/4!*x^4+70/5!*x^5... %R A012279 %O A012279 0,4 %K A012279 nonn %A A012279 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012280 %S A012280 1,0,1,3,6,30,270,1400,3080,86184,893760,754688,61595424,1201314400, %T A012280 5341239904,68598744240,2871938780672,25391249097088,31527888993024, %U A012280 10819112145879168,155954430765392768,1053312129734629632 %V A012280 1,0,-1,-3,-6,30,270,1400,-3080,-86184,-893760,-754688,61595424, %W A012280 1201314400,5341239904,-68598744240,-2871938780672,-25391249097088, %X A012280 31527888993024,10819112145879168,155954430765392768 %N A012280 sech(exp(x)*log(x+1))=1-1/2!*x^2-3/3!*x^3-6/4!*x^4+30/5!*x^5... %R A012280 %O A012280 0,4 %K A012280 sign,done %A A012280 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012281 %S A012281 2,3,4,20,10,609,3880,32040,352742,3799565,44271460,571990068, %T A012281 7830460482,113493888585,1753811009808,28760379830416, %U A012281 498456016769742,9112758567973533,175322176912457996 %V A012281 2,-3,4,-20,-10,609,-3880,32040,-352742,3799565,-44271460,571990068, %W A012281 -7830460482,113493888585,-1753811009808,28760379830416, %X A012281 -498456016769742,9112758567973533,-175322176912457996 %N A012281 sin(sin(x)*log(x+1))=2/2!*x^2-3/3!*x^3+4/4!*x^4-20/5!*x^5-10/6!*x^6... %R A012281 %O A012281 0,1 %K A012281 sign,done %A A012281 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012282 %S A012282 2,3,4,20,350,3171,21320,172080,2217658,32208715,433724300, %T A012282 5910937812,92570087766,1651187049435,30890555494032,592724842745984, %U A012282 12014317527212658,261952174935402291,6057572995096062484 %V A012282 2,-3,4,-20,350,-3171,21320,-172080,2217658,-32208715,433724300, %W A012282 -5910937812,92570087766,-1651187049435,30890555494032, %X A012282 -592724842745984,12014317527212658,-261952174935402291 %N A012282 tan(sin(x)*log(x+1))=2/2!*x^2-3/3!*x^3+4/4!*x^4-20/5!*x^5... %R A012282 %O A012282 0,1 %K A012282 sign,done %A A012282 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012283 %S A012283 2,3,4,20,130,1869,12280,100080,362822,7482475,168953420,2715677172, %T A012283 34715587062,205932278475,3285394779888,157209810212416, %U A012283 4031590864355982,71565905502128781,726184783306581356 %V A012283 2,-3,4,-20,-130,1869,-12280,100080,-362822,-7482475,168953420, %W A012283 -2715677172,34715587062,-205932278475,-3285394779888, %X A012283 157209810212416,-4031590864355982,71565905502128781 %N A012283 arctan(sin(x)*log(x+1))=2/2!*x^2-3/3!*x^3+4/4!*x^4-20/5!*x^5... %R A012283 %O A012283 0,1 %K A012283 sign,done %A A012283 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012284 %S A012284 2,3,4,20,230,1911,12920,104040,1058458,11889955,141336380, %T A012284 1804017852,24962731950,371663464095,5900573560752,99478198783184, %U A012284 1776396441716658,33501559023746883,665305926036550324 %V A012284 2,-3,4,-20,230,-1911,12920,-104040,1058458,-11889955,141336380, %W A012284 -1804017852,24962731950,-371663464095,5900573560752,-99478198783184, %X A012284 1776396441716658,-33501559023746883,665305926036550324 %N A012284 sinh(sin(x)*log(x+1))=2/2!*x^2-3/3!*x^3+4/4!*x^4-20/5!*x^5... %R A012284 %O A012284 0,1 %K A012284 sign,done %A A012284 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012285 %S A012285 2,3,4,20,10,609,3880,32040,110822,2853235,62173340,984765132, %T A012285 13116545598,105359946615,269704385808,34712027932816, %U A012285 1001624343871182,18826756309101213,210544812030819596 %V A012285 2,-3,4,-20,-10,609,-3880,32040,-110822,-2853235,62173340,-984765132, %W A012285 13116545598,-105359946615,-269704385808,34712027932816, %X A012285 -1001624343871182,18826756309101213,-210544812030819596 %N A012285 arcsinh(sin(x)*log(x+1))=2/2!*x^2-3/3!*x^3+4/4!*x^4-20/5!*x^5... %R A012285 %O A012285 0,1 %K A012285 sign,done %A A012285 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012286 %S A012286 2,3,4,20,130,1869,12280,100080,604742,829675,62508620,1158921972, %T A012286 17643171702,190494456075,1197368304912,8324510449216, %U A012286 571700218304142,14677422922560141,268070215275170156 %V A012286 2,-3,4,-20,-130,1869,-12280,100080,-604742,-829675,62508620, %W A012286 -1158921972,17643171702,-190494456075,1197368304912,8324510449216, %X A012286 -571700218304142,14677422922560141,-268070215275170156 %N A012286 tanh(sin(x)*log(x+1))=2/2!*x^2-3/3!*x^3+4/4!*x^4-20/5!*x^5... %R A012286 %O A012286 0,1 %K A012286 sign,done %A A012286 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012287 %S A012287 2,3,4,20,350,3171,21320,172080,2459578,38861515,540169100, %T A012287 7467693012,125140866006,2480288923035,50275271244432, %U A012287 1015574149625984,21888753352226418,522647511904669491 %V A012287 2,-3,4,-20,350,-3171,21320,-172080,2459578,-38861515,540169100, %W A012287 -7467693012,125140866006,-2480288923035,50275271244432, %X A012287 -1015574149625984,21888753352226418,-522647511904669491 %N A012287 arctanh(sin(x)*log(x+1))=2/2!*x^2-3/3!*x^3+4/4!*x^4-20/5!*x^5... %R A012287 %O A012287 0,1 %K A012287 sign,done %A A012287 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012288 %S A012288 1,0,0,0,12,60,210,1260,18480,235872,2421960,26091120,365320296, %T A012288 5967877344,97738612608,1617354429600,29014419932160,574177721782144, %U A012288 12059384791998912,262395430866467712,5966237655101750912 %V A012288 1,0,0,0,12,-60,210,-1260,18480,-235872,2421960,-26091120,365320296, %W A012288 -5967877344,97738612608,-1617354429600,29014419932160, %X A012288 -574177721782144,12059384791998912,-262395430866467712 %N A012288 sec(sin(x)*log(x+1))=1+12/4!*x^4-60/5!*x^5+210/6!*x^6-1260/7!*x^7... %R A012288 %O A012288 0,5 %K A012288 sign,done %A A012288 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012289 %S A012289 1,0,0,0,12,60,210,1260,1680,66528,854040,9944880,101761704, %T A012289 561845856,2175945408,136635189600,3242837295360,53779020559744, %U A012289 655909940939712,4733948121328512,61668138518505088 %V A012289 1,0,0,0,-12,60,-210,1260,-1680,-66528,854040,-9944880,101761704, %W A012289 -561845856,-2175945408,136635189600,-3242837295360,53779020559744, %X A012289 -655909940939712,4733948121328512,61668138518505088 %N A012289 sech(sin(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-210/6!*x^6+1260/7!*x^7... %R A012289 %O A012289 0,5 %K A012289 sign,done %A A012289 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012290 %S A012290 1,2,0,24,140,8,8960,92736,12240,14154208,210017280,50776704, %T A012290 58549241920,1133642065792,435228385280,500888609593344, %U A012290 11981516394489600,6690495105515008,7684815276420464640 %V A012290 1,2,0,-24,-140,-8,8960,92736,12240,-14154208,-210017280,-50776704, %W A012290 58549241920,1133642065792,435228385280,-500888609593344, %X A012290 -11981516394489600,-6690495105515008,7684815276420464640 %N A012290 arctan(sin(x)*exp(x))=x+2/2!*x^2-24/4!*x^4-140/5!*x^5-8/6!*x^6... %R A012290 %O A012290 0,2 %K A012290 sign,done %A A012290 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012291 %S A012291 1,2,1,12,75,98,3141,37128,79145,4068838,70096919,208084932, %T A012291 14605150365,331136373622,1267818101421,111869011278192, %U A012291 3149733764010415,14850194074608718,1567505717936558161 %V A012291 1,2,1,-12,-75,-98,3141,37128,79145,-4068838,-70096919,-208084932, %W A012291 14605150365,331136373622,1267818101421,-111869011278192, %X A012291 -3149733764010415,-14850194074608718,1567505717936558161 %N A012291 arcsinh(sin(x)*exp(x))=x+2/2!*x^2+1/3!*x^3-12/4!*x^4-75/5!*x^5... %R A012291 %O A012291 0,2 %K A012291 sign,done %A A012291 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012292 %S A012292 1,2,4,24,180,1432,14544,176064,2382800,36330272,618520384, %T A012292 11562021504,235623136320,5205288291712,123834383495424, %U A012292 3155999144761344,85799392788650240,2478387574846218752 %N A012292 arctanh(sin(x)*exp(x))=x+2/2!*x^2+4/3!*x^3+24/4!*x^4+180/5!*x^5... %R A012292 %O A012292 0,2 %K A012292 nonn %A A012292 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012293 %S A012293 1,0,1,6,25,140,1177,10738,104977,1188120,15191889,211088350, %T A012293 3187087209,52357837220,926871127977,17553084005322,354581844112801, %U A012293 7614153761167920,173108509344647457,4153655608324341686 %N A012293 sec(sin(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+25/4!*x^4+140/5!*x^5... %R A012293 %O A012293 0,4 %K A012293 nonn %A A012293 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012294 %S A012294 1,0,1,6,15,60,1023,6062,9247,652680,7332289,13792350,994947921, %T A012294 19248140340,119312444223,2747842718122,91993600741951, %U A012294 1070543140984080,10423240065585023,710021632610736714 %V A012294 1,0,-1,-6,-15,60,1023,6062,-9247,-652680,-7332289,-13792350, %W A012294 994947921,19248140340,119312444223,-2747842718122,-91993600741951, %X A012294 -1070543140984080,10423240065585023,710021632610736714 %N A012294 sech(sin(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-15/4!*x^4+60/5!*x^5... %R A012294 %O A012294 0,4 %K A012294 sign,done %A A012294 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012295 %S A012295 2,8,88,6592,251488,4158592,551599232,94759774208,9549823734272, %T A012295 506903275563008,67623197282080768,30434079688615739392, %U A012295 6806476994628810661888,994937886379415577198592 %V A012295 2,-8,-88,6592,-251488,4158592,551599232,-94759774208,9549823734272, %W A012295 -506903275563008,-67623197282080768,30434079688615739392, %X A012295 -6806476994628810661888,994937886379415577198592 %N A012295 sin(sin(x)*sin(x))=2/2!*x^2-8/4!*x^4-88/6!*x^6+6592/8!*x^8... %R A012295 %O A012295 0,1 %K A012295 sign,done %A A012295 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012296 %S A012296 2,8,272,13568,1048832,128073728,21002749952,4567924441088, %T A012296 1269483920556032,437557299535413248,183472013004069404672, %U A012296 91918408815486181572608,54224850406884797340188672 %V A012296 2,-8,272,-13568,1048832,-128073728,21002749952,-4567924441088, %W A012296 1269483920556032,-437557299535413248,183472013004069404672, %X A012296 -91918408815486181572608,54224850406884797340188672 %N A012296 tan(sin(x)*sin(x))=2/2!*x^2-8/4!*x^4+272/6!*x^6-13568/8!*x^8... %R A012296 %O A012296 0,1 %K A012296 sign,done %A A012296 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012297 %S A012297 2,8,208,13312,161792,138042368,9993992192,4147254525952, %T A012297 1386315007787008,171033573395529728,284350624150760456192, %U A012297 45336566464274820497408,87136608072231186709086208 %V A012297 2,-8,-208,13312,161792,-138042368,9993992192,4147254525952, %W A012297 -1386315007787008,-171033573395529728,284350624150760456192, %X A012297 -45336566464274820497408,-87136608072231186709086208 %N A012297 arctan(sin(x)*sin(x))=2/2!*x^2-8/4!*x^4-208/6!*x^6+13312/8!*x^8... %R A012297 %O A012297 0,1 %K A012297 sign,done %A A012297 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012298 %S A012298 2,8,152,6848,312992,17468288,1385712512,143250864128,17321985331712, %T A012298 2418583050119168,396575082357512192,75839817371814084608, %U A012298 16517549362496506929152,4031009591250124413698048 %V A012298 2,-8,152,-6848,312992,-17468288,1385712512,-143250864128, %W A012298 17321985331712,-2418583050119168,396575082357512192, %X A012298 -75839817371814084608,16517549362496506929152 %N A012298 sinh(sin(x)*sin(x))=2/2!*x^2-8/4!*x^4+152/6!*x^6-6848/8!*x^8... %R A012298 %O A012298 0,1 %K A012298 sign,done %A A012298 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012299 %S A012299 2,8,88,6592,9568,49063808,4426189952,1122968737792,441081682390528, %T A012299 23926396899780608,74405808039377364992,16597462789247237931008, %U A012299 19016633437725878038847488,15688073957559020803039854592 %V A012299 2,-8,-88,6592,-9568,-49063808,4426189952,1122968737792, %W A012299 -441081682390528,-23926396899780608,74405808039377364992, %X A012299 -16597462789247237931008,-19016633437725878038847488 %N A012299 arcsinh(sin(x)*sin(x))=2/2!*x^2-8/4!*x^4-88/6!*x^6+6592/8!*x^8... %R A012299 %O A012299 0,1 %K A012299 sign,done %A A012299 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012300 %S A012300 2,8,208,13312,80128,84819968,9993992192,759755210752, %T A012300 560066285928448,72155207745667072,37670722015948439552, %U A012300 22728912607776874692608,734502681629602026094592 %V A012300 2,-8,-208,13312,-80128,-84819968,9993992192,759755210752, %W A012300 -560066285928448,72155207745667072,37670722015948439552, %X A012300 -22728912607776874692608,734502681629602026094592 %N A012300 tanh(sin(x)*sin(x))=2/2!*x^2-8/4!*x^4-208/6!*x^6+13312/8!*x^8... %R A012300 %O A012300 0,1 %K A012300 sign,done %A A012300 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012301 %S A012301 2,8,272,13568,1290752,181296128,36501112832,9859508338688, %T A012301 3453141256896512,1520147333209653248,821912974600193441792, %U A012301 535368543762962928631808,413509146873290771683868672 %V A012301 2,-8,272,-13568,1290752,-181296128,36501112832,-9859508338688, %W A012301 3453141256896512,-1520147333209653248,821912974600193441792, %X A012301 -535368543762962928631808,413509146873290771683868672 %N A012301 arctanh(sin(x)*sin(x))=2/2!*x^2-8/4!*x^4+272/6!*x^6-13568/8!*x^8... %R A012301 %O A012301 0,1 %K A012301 sign,done %A A012301 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012302 %S A012302 1,0,12,240,12432,1073280,125898432,20938794240,4567638266112, %T A012302 1267670125547520,437480763704527872,183445824359628779520, %U A012302 91908363767795383898112,54223577318067990113648640 %V A012302 1,0,12,-240,12432,-1073280,125898432,-20938794240,4567638266112, %W A012302 -1267670125547520,437480763704527872,-183445824359628779520, %X A012302 91908363767795383898112,-54223577318067990113648640 %N A012302 sec(sin(x)*sin(x))=1+12/4!*x^4-240/6!*x^6+12432/8!*x^8... %R A012302 %O A012302 0,3 %K A012302 sign,done %A A012302 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012303 %S A012303 1,0,12,240,4368,942720,42639168,8638506240,2287049555712, %T A012303 38746394603520,145600412857955328,42974022434701332480, %U A012303 7760313189299657306112,11863589839842518338928640 %V A012303 1,0,-12,240,4368,-942720,42639168,8638506240,-2287049555712, %W A012303 38746394603520,145600412857955328,-42974022434701332480, %X A012303 -7760313189299657306112,11863589839842518338928640 %N A012303 sech(sin(x)*sin(x))=1-12/4!*x^4+240/6!*x^6+4368/8!*x^8... %R A012303 %O A012303 0,3 %K A012303 sign,done %A A012303 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012304 %S A012304 1,0,2,3,24,100,808,5439,51800,469008,5292162,59508075,782885532, %T A012304 10464052248,157781733198,2437533390915,41504137389648, %U A012304 726658147836384,13799849799221682,269818493378847219 %V A012304 1,0,2,-3,24,-100,808,-5439,51800,-469008,5292162,-59508075, %W A012304 782885532,-10464052248,157781733198,-2437533390915,41504137389648, %X A012304 -726658147836384,13799849799221682,-269818493378847219 %N A012304 exp(arcsin(x)*log(x+1))=1+2/2!*x^2-3/3!*x^3+24/4!*x^4-100/5!*x^5... %R A012304 %O A012304 0,3 %K A012304 sign,done %A A012304 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012305 %S A012305 2,3,12,40,358,2499,25032,229104,2865402,36173115,550240020, %T A012305 8500522680,149846317710,2762418635235,56365118364240, %U A012305 1205267403147360,27829436319559410,674568212738977395 %V A012305 2,-3,12,-40,358,-2499,25032,-229104,2865402,-36173115,550240020, %W A012305 -8500522680,149846317710,-2762418635235,56365118364240, %X A012305 -1205267403147360,27829436319559410,-674568212738977395 %N A012305 arcsin(arcsin(x)*log(x+1))=2/2!*x^2-3/3!*x^3+12/4!*x^4-40/5!*x^5... %R A012305 %O A012305 0,1 %K A012305 sign,done %A A012305 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012306 %S A012306 2,3,12,40,478,3759,40152,387864,4962042,64308915,983170980, %T A012306 15335058960,267831905430,4873619226735,96888423426480, %U A012306 2014804884605520,44917521867736050,1047513682848869955 %V A012306 2,-3,12,-40,478,-3759,40152,-387864,4962042,-64308915,983170980, %W A012306 -15335058960,267831905430,-4873619226735,96888423426480, %X A012306 -2014804884605520,44917521867736050,-1047513682848869955 %N A012306 tan(arcsin(x)*log(x+1))=2/2!*x^2-3/3!*x^3+12/4!*x^4-40/5!*x^5... %R A012306 %O A012306 0,1 %K A012306 sign,done %A A012306 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012307 %S A012307 2,3,12,40,2,1281,20328,247176,2335878,18296685,30050460,2786088240, %T A012307 84018996150,1739881819935,29231087119920,366680093070480, %U A012307 1450522417769970,113001315573589245,5277576385277393220 %V A012307 2,-3,12,-40,-2,1281,-20328,247176,-2335878,18296685,-30050460, %W A012307 -2786088240,84018996150,-1739881819935,29231087119920, %X A012307 -366680093070480,1450522417769970,113001315573589245 %N A012307 arctan(arcsin(x)*log(x+1))=2/2!*x^2-3/3!*x^3+12/4!*x^4-40/5!*x^5... %R A012307 %O A012307 0,1 %K A012307 sign,done %A A012307 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012308 %S A012308 1,0,0,0,12,60,450,2940,23408,179424,1610280,13910160,137455032, %T A012308 1245692448,12516311808,93103526880,527152105728,11362927602816, %U A012308 427180646000448,13403925787199616,328077695114329728 %V A012308 1,0,0,0,-12,60,-450,2940,-23408,179424,-1610280,13910160,-137455032, %W A012308 1245692448,-12516311808,93103526880,-527152105728,-11362927602816, %X A012308 427180646000448,-13403925787199616,328077695114329728 %N A012308 cos(arcsin(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-450/6!*x^6+2940/7!*x^7... %R A012308 %O A012308 0,5 %K A012308 sign,done %A A012308 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012309 %S A012309 2,3,12,40,358,2499,25032,229104,2623482,29520315,390572820, %T A012309 5214039480,78852514830,1216517478435,20752786409040,362913160817760, %U A012309 6901242069396210,134803613131143795,2828875288653933660 %V A012309 2,-3,12,-40,358,-2499,25032,-229104,2623482,-29520315,390572820, %W A012309 -5214039480,78852514830,-1216517478435,20752786409040, %X A012309 -362913160817760,6901242069396210,-134803613131143795 %N A012309 sinh(arcsin(x)*log(x+1))=2/2!*x^2-3/3!*x^3+12/4!*x^4-40/5!*x^5... %R A012309 %O A012309 0,1 %K A012309 sign,done %A A012309 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012310 %S A012310 2,3,12,40,118,21,5208,88416,904518,8456085,36204300,582795720, %T A012310 25175931870,566080291035,10469521737360,151909726765440, %U A012310 1439879949016050,12663393759659565,1154176350734965860 %V A012310 2,-3,12,-40,118,21,-5208,88416,-904518,8456085,-36204300,-582795720, %W A012310 25175931870,-566080291035,10469521737360,-151909726765440, %X A012310 1439879949016050,12663393759659565,-1154176350734965860 %N A012310 arcsinh(arcsin(x)*log(x+1))=2/2!*x^2-3/3!*x^3+12/4!*x^4-40/5!*x^5... %R A012310 %O A012310 0,1 %K A012310 sign,done %A A012310 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012311 %S A012311 2,3,12,40,2,1281,20328,247176,2577798,24949485,189717660,500394960, %T A012311 24648965430,804228701535,18028676700720,340430894094480, %U A012311 5649443088034290,76409572412090115,580555717060321980 %V A012311 2,-3,12,-40,-2,1281,-20328,247176,-2577798,24949485,-189717660, %W A012311 500394960,24648965430,-804228701535,18028676700720,-340430894094480, %X A012311 5649443088034290,-76409572412090115,580555717060321980 %N A012311 tanh(arcsin(x)*log(x+1))=2/2!*x^2-3/3!*x^3+12/4!*x^4-40/5!*x^5... %R A012311 %O A012311 0,1 %K A012311 sign,done %A A012311 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012312 %S A012312 2,3,12,40,478,3759,40152,387864,5203962,70961715,1142838180, %T A012312 18621542160,342700299030,6622936396335,140637395893680, %U A012312 3129194141386320,74723900156463090,1873298738386231875 %V A012312 2,-3,12,-40,478,-3759,40152,-387864,5203962,-70961715,1142838180, %W A012312 -18621542160,342700299030,-6622936396335,140637395893680, %X A012312 -3129194141386320,74723900156463090,-1873298738386231875 %N A012312 arctanh(arcsin(x)*log(x+1))=2/2!*x^2-3/3!*x^3+12/4!*x^4-40/5!*x^5... %R A012312 %O A012312 0,1 %K A012312 sign,done %A A012312 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012313 %S A012313 1,0,0,0,12,60,450,2940,26768,239904,2668680,29987760,392312712, %T A012313 5250012768,78929218368,1221015912480,20751350980608,363744987018624, %U A012313 6898607729825472,135014880247703424,2827589532152380032 %V A012313 1,0,0,0,12,-60,450,-2940,26768,-239904,2668680,-29987760,392312712, %W A012313 -5250012768,78929218368,-1221015912480,20751350980608, %X A012313 -363744987018624,6898607729825472,-135014880247703424 %N A012313 cosh(arcsin(x)*log(x+1))=1+12/4!*x^4-60/5!*x^5+450/6!*x^6-2940/7!*x^7... %R A012313 %O A012313 0,5 %K A012313 sign,done %A A012313 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012314 %S A012314 1,0,0,0,12,60,450,2940,33488,360864,4785480,62142960,941944872, %T A012314 14815408608,260792820288,4784515051680,95341465939968, %U A012314 1988764871186304,44407627224011712,1038296963667026304 %V A012314 1,0,0,0,12,-60,450,-2940,33488,-360864,4785480,-62142960,941944872, %W A012314 -14815408608,260792820288,-4784515051680,95341465939968, %X A012314 -1988764871186304,44407627224011712,-1038296963667026304 %N A012314 sec(arcsin(x)*log(x+1))=1+12/4!*x^4-60/5!*x^5+450/6!*x^6-2940/7!*x^7... %R A012314 %O A012314 0,5 %K A012314 sign,done %A A012314 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012315 %S A012315 1,0,0,0,12,60,450,2940,16688,58464,506520,18245040,332343528, %T A012315 5206192992,71271712512,855046876320,7211743218432,15834692767104, %U A012315 2957850381938112,99133043643679104,2542788978368967552 %V A012315 1,0,0,0,-12,60,-450,2940,-16688,58464,506520,-18245040,332343528, %W A012315 -5206192992,71271712512,-855046876320,7211743218432,15834692767104, %X A012315 -2957850381938112,99133043643679104,-2542788978368967552 %N A012315 sech(arcsin(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-450/6!*x^6+2940/7!*x^7... %R A012315 %O A012315 0,5 %K A012315 sign,done %A A012315 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012316 %S A012316 1,1,3,11,49,265,1635,11531,90241,785777,7464483,77615947,870363377, %T A012316 10565245561,137126790723,1910729723787,28271549169025, %U A012316 446132922949985,7432565149802947,131334851550591627 %N A012316 exp(arcsin(x)*exp(x))=1+x+3/2!*x^2+11/3!*x^3+49/4!*x^4+265/5!*x^5... %R A012316 %O A012316 0,3 %K A012316 nonn %A A012316 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012317 %S A012317 1,2,5,20,133,1070,10705,125512,1717321,26518138,459336605, %T A012317 8787628060,184388779469,4205082557286,103631769297641, %U A012317 2743399950572304,77654985344871313,2340183966373322610 %N A012317 arcsin(arcsin(x)*exp(x))=x+2/2!*x^2+5/3!*x^3+20/4!*x^4+133/5!*x^5... %R A012317 %O A012317 0,2 %K A012317 nonn %A A012317 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012318 %S A012318 1,2,6,32,240,2000,19656,221888,2846784,40430848,632914304, %T A012318 10802538496,199980939392,3985563555584,85138224664832, %U A012318 1939700554334208,46962544699670528,1203843275552612352 %N A012318 tan(arcsin(x)*exp(x))=x+2/2!*x^2+6/3!*x^3+32/4!*x^4+240/5!*x^5... %R A012318 %O A012318 0,2 %K A012318 nonn %A A012318 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012319 %S A012319 1,2,2,16,152,640,3208,93760,903232,434432,177422848,3216258560, %T A012319 16228512640,694840763136,22720594160384,271707063115776, %U A012319 4070997323902976,272647179903516672,5710172839541903360 %V A012319 1,2,2,-16,-152,-640,3208,93760,903232,-434432,-177422848, %W A012319 -3216258560,-16228512640,694840763136,22720594160384, %X A012319 271707063115776,-4070997323902976,-272647179903516672 %N A012319 arctan(arcsin(x)*exp(x))=x+2/2!*x^2+2/3!*x^3-16/4!*x^4-152/5!*x^5... %R A012319 %O A012319 0,2 %K A012319 sign,done %A A012319 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012320 %S A012320 1,0,1,6,27,100,285,70,10857,138456,1345575,12246322,104657421, %T A012320 905107892,7506129995,67825026750,599458508113,7155160301616, %U A012320 87359515770831,1675741434252522,28468606356977333 %V A012320 1,0,-1,-6,-27,-100,-285,70,10857,138456,1345575,12246322,104657421, %W A012320 905107892,7506129995,67825026750,599458508113,7155160301616, %X A012320 87359515770831,1675741434252522,28468606356977333 %N A012320 cos(arcsin(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-27/4!*x^4-100/5!*x^5... %R A012320 %O A012320 0,4 %K A012320 sign,done %A A012320 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012321 %S A012321 1,2,5,20,125,830,6001,45768,394553,3699418,38758909,433324828, %T A012321 5299232757,68428221654,958395448297,14101599762448,223667919165041, %U A012321 3706771205012274,65843651814440309,1215858569345385636 %N A012321 sinh(arcsin(x)*exp(x))=x+2/2!*x^2+5/3!*x^3+20/4!*x^4+125/5!*x^5... %R A012321 %O A012321 0,2 %K A012321 nonn %A A012321 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012322 %S A012322 1,2,3,4,67,370,287,30424,365465,1147258,42467557,994898540, %T A012322 8460851947,120733095366,5772181319543,91988708308272, %U A012322 303397037546063,57859724492439438,1529772040322728013 %V A012322 1,2,3,-4,-67,-370,287,30424,365465,1147258,-42467557,-994898540, %W A012322 -8460851947,120733095366,5772181319543,91988708308272, %X A012322 -303397037546063,-57859724492439438,-1529772040322728013 %N A012322 arcsinh(arcsin(x)*exp(x))=x+2/2!*x^2+3/3!*x^3-4/4!*x^4-67/5!*x^5... %R A012322 %O A012322 0,2 %K A012322 sign,done %A A012322 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012323 %S A012323 1,2,2,16,160,880,824,51648,800960,6435328,2043776,1126578176, %T A012323 22272551808,223518587136,765475969792,87232814768128, %U A012323 2039252913397760,22937720650260480,211391911253512192 %V A012323 1,2,2,-16,-160,-880,-824,51648,800960,6435328,-2043776,-1126578176, %W A012323 -22272551808,-223518587136,765475969792,87232814768128, %X A012323 2039252913397760,22937720650260480,-211391911253512192 %N A012323 tanh(arcsin(x)*exp(x))=x+2/2!*x^2+2/3!*x^3-16/4!*x^4-160/5!*x^5... %R A012323 %O A012323 0,2 %K A012323 sign,done %A A012323 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012324 %S A012324 1,2,6,32,248,2240,24584,314176,4604864,75708928,1384714496, %T A012324 27844334080,610980624512,14521108083456,371703786041600, %U A012324 10193800681881600,298204898039689216,9268641663992807424 %N A012324 arctanh(arcsin(x)*exp(x))=x+2/2!*x^2+6/3!*x^3+32/4!*x^4+248/5!*x^5... %R A012324 %O A012324 0,2 %K A012324 nonn %A A012324 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012325 %S A012325 1,0,1,6,29,140,805,5530,44473,391224,3765065,38857038,437038549, %T A012325 5266012804,68698569069,952334275490,14169949406577,222465003784944, %U A012325 3725793944790673,65491199736151318,1221997363331697037 %N A012325 cosh(arcsin(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+29/4!*x^4+140/5!*x^5... %R A012325 %O A012325 0,4 %K A012325 nonn %A A012325 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012326 %S A012326 1,0,1,6,33,220,1905,19250,220353,2820024,40211745,630374558, %T A012326 10781914209,199647892756,3981913796497,85074801848010, %U A012326 1938930641416577,46947275907107184,1203626305882706241 %N A012326 sec(arcsin(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+33/4!*x^4+220/5!*x^5... %R A012326 %O A012326 0,4 %K A012326 nonn %A A012326 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012327 %S A012327 1,0,1,6,23,20,695,8750,59057,27096,6378545,112547358,1027909159, %T A012327 1643389124,273544780743,5934532973590,63673713397473, %U A012327 375014334859344,35324004296221921,878127940239307318 %V A012327 1,0,-1,-6,-23,-20,695,8750,59057,27096,-6378545,-112547358, %W A012327 -1027909159,1643389124,273544780743,5934532973590,63673713397473, %X A012327 -375014334859344,-35324004296221921,-878127940239307318 %N A012327 sech(arcsin(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-23/4!*x^4-20/5!*x^5... %R A012327 %O A012327 0,4 %K A012327 sign,done %A A012327 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012328 %S A012328 1,2,12,160,5264,337408,33558976,4774458624,925641066752, %T A012328 234811196362752,75489493100030976,29994952555909038080, %U A012328 14434169598255866957824,8272551360591963469152256 %N A012328 exp(arcsin(x)*sin(x))=1+2/2!*x^2+12/4!*x^4+160/6!*x^6+5264/8!*x^8... %R A012328 %O A012328 0,2 %K A012328 nonn %A A012328 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012329 %S A012329 2,0,160,1344,458368,16445440,8077598464,720541868032, %T A012329 493459770138624,85668743495532544,77756619165720870912, %U A012329 22805228251600514711552,26370717564373981237149696 %N A012329 arcsin(arcsin(x)*sin(x))=2/2!*x^2+160/6!*x^6+1344/8!*x^8+458368/10!*x^10... %R A012329 %O A012329 0,1 %K A012329 nonn %A A012329 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012330 %S A012330 2,0,280,1344,770848,24428800,11463637120,1147515615232, %T A012330 574163022303744,126865257434619904,74474679925545302016, %U A012330 29259293718147520839680,21004159848539137867063296 %N A012330 tan(arcsin(x)*sin(x))=2/2!*x^2+280/6!*x^6+1344/8!*x^8+770848/10!*x^10... %R A012330 %O A012330 0,1 %K A012330 nonn %A A012330 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012331 %S A012331 2,0,200,1344,609568,7504640,8722673024,485760120832,492836371075584, %T A012331 36976815179227136,58897173274787112960,11400113150368496795648, %U A012331 17579088319490872510980096,4055464184781251145968975872 %V A012331 2,0,-200,1344,609568,-7504640,-8722673024,485760120832, %W A012331 492836371075584,-36976815179227136,-58897173274787112960, %X A012331 11400113150368496795648,17579088319490872510980096 %N A012331 arctan(arcsin(x)*sin(x))=2/2!*x^2-200/6!*x^6+1344/8!*x^8+609568/10!*x^10... %R A012331 %O A012331 0,1 %K A012331 sign,done %A A012331 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012332 %S A012332 1,0,12,0,560,120960,8243136,1217216000,240101205760,60353491365888, %T A012332 19412164057951232,7711037038987132928,3710008156348784881664, %U A012332 2126287045304329433743360,1431163547761330491379531776 %V A012332 1,0,-12,0,-560,-120960,-8243136,-1217216000,-240101205760, %W A012332 -60353491365888,-19412164057951232,-7711037038987132928, %X A012332 -3710008156348784881664,-2126287045304329433743360 %N A012332 cos(arcsin(x)*sin(x))=1-12/4!*x^4-560/8!*x^8-120960/10!*x^10... %R A012332 %O A012332 0,3 %K A012332 sign,done %A A012332 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012333 %S A012333 2,0,160,1344,216448,16445440,2588594944,488066424832, %T A012333 124899844644864,40104870299090944,15952220652568215552, %U A012333 7679842459021822656512,4403590872401925633540096 %N A012333 sinh(arcsin(x)*sin(x))=2/2!*x^2+160/6!*x^6+1344/8!*x^8+216448/10!*x^10... %R A012333 %O A012333 0,1 %K A012333 nonn %A A012333 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012334 %S A012334 2,0,80,1344,256768,478720,2027088128,273426399232,158140462424064, %T A012334 1238001757208576,9930099869342171136,4752907831646575394816, %U A012334 4870481397825377085751296,201639829717767775030607872 %V A012334 2,0,-80,1344,256768,478720,-2027088128,273426399232, %W A012334 158140462424064,-1238001757208576,-9930099869342171136, %X A012334 4752907831646575394816,4870481397825377085751296 %N A012334 arcsinh(arcsin(x)*sin(x))=2/2!*x^2-80/6!*x^6+1344/8!*x^8+256768/10!*x^10... %R A012334 %O A012334 0,1 %K A012334 sign,done %A A012334 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012335 %S A012335 2,0,200,1344,367648,7504640,2587904384,253284677632,79392079655424, %T A012335 6850403676839936,2011786530842634240,1982840495232732151808, %U A012335 855419792148094652522496,85252883720904504352636928 %V A012335 2,0,-200,1344,367648,-7504640,-2587904384,253284677632, %W A012335 79392079655424,-6850403676839936,-2011786530842634240, %X A012335 1982840495232732151808,855419792148094652522496 %N A012335 tanh(arcsin(x)*sin(x))=2/2!*x^2-200/6!*x^6+1344/8!*x^8+367648/10!*x^10... %R A012335 %O A012335 0,1 %K A012335 sign,done %A A012335 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012336 %S A012336 2,0,280,1344,1012768,24428800,20827231360,1379991058432, %T A012336 1430240557576704,197659225530671104,247901293373984372736, %U A012336 60895825094704096133120,91170066232981864478416896 %N A012336 arctanh(arcsin(x)*sin(x))=2/2!*x^2+280/6!*x^6+1344/8!*x^8... %R A012336 %O A012336 0,1 %K A012336 nonn %A A012336 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012337 %S A012337 1,0,12,0,3920,120960,17113536,2185863680,437574641920, %T A012337 109911351717888,35384622800940032,14042731903340822528, %U A012337 6754327139234044301312,3868960488190037835612160 %N A012337 cosh(arcsin(x)*sin(x))=1+12/4!*x^4+3920/8!*x^8+120960/10!*x^10... %R A012337 %O A012337 0,3 %K A012337 nonn %A A012337 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012338 %S A012338 1,0,12,0,10640,120960,74771136,4123159040,2129817514240, %T A012338 315733300850688,176225504731384832,52096908207506505728, %U A012338 34345862831326069035008,16865198263103149299957760 %N A012338 sec(arcsin(x)*sin(x))=1+12/4!*x^4+10640/8!*x^8+120960/10!*x^10... %R A012338 %O A012338 0,3 %K A012338 nonn %A A012338 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012339 %S A012339 1,0,12,0,6160,120960,30419136,720079360,289764450560,67943999090688, %T A012339 22346350979320832,79039716551606272,455312101897953210368, %U A012339 1387404550704064289013760,763348964181211012935499776 %V A012339 1,0,-12,0,6160,-120960,-30419136,720079360,289764450560, %W A012339 -67943999090688,-22346350979320832,79039716551606272, %X A012339 -455312101897953210368,-1387404550704064289013760 %N A012339 sech(arcsin(x)*sin(x))=1-12/4!*x^4+6160/8!*x^8-120960/10!*x^10... %R A012339 %O A012339 0,3 %K A012339 sign,done %A A012339 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012340 %S A012340 1,2,20,488,22416,1680672,187766592,29343408768,6124074217728, %T A012340 1647634955248128,555774895924564992,229837057464353187840, %U A012340 114397631096541960376320,67482635629160164765409280 %N A012340 exp(arcsin(x)*arcsin(x))=1+2/2!*x^2+20/4!*x^4+488/6!*x^6+22416/8!*x^8... %R A012340 %O A012340 0,2 %K A012340 nonn %A A012340 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012341 %S A012341 2,8,248,11328,1091232,148080000,30317577600,8228536780800, %T A012341 2957031184028160,1336782441018009600,749500660718368634880, %U A012341 508063303148296391147520,410659058984740631962951680 %N A012341 arcsin(arcsin(x)*arcsin(x))=2/2!*x^2+8/4!*x^4+248/6!*x^6+11328/8!*x^8... %R A012341 %O A012341 0,1 %K A012341 nonn %A A012341 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012342 %S A012342 2,8,368,18048,1827072,253363200,50403563520,13158813696000, %T A012342 4414765984972800,1841972633056051200,936689336904269168640, %U A012342 569861032837432328847360,408713488929007199437455360 %N A012342 tan(arcsin(x)*arcsin(x))=2/2!*x^2+8/4!*x^4+368/6!*x^6+18048/8!*x^8... %R A012342 %O A012342 0,1 %K A012342 nonn %A A012342 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012343 %S A012343 2,8,112,8832,27648,71731200,8459581440,999488716800,609228538183680, %T A012343 30947990077440000,82287312014325841920,35793618716907672698880, %U A012343 9141042424973375790120960,17927203050307781363981352960 %V A012343 2,8,-112,-8832,-27648,71731200,8459581440,-999488716800, %W A012343 -609228538183680,-30947990077440000,82287312014325841920, %X A012343 35793618716907672698880,-9141042424973375790120960 %N A012343 arctan(arcsin(x)*arcsin(x))=2/2!*x^2+8/4!*x^4-112/6!*x^6-8832/8!*x^8... %R A012343 %O A012343 0,1 %K A012343 sign,done %A A012343 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012344 %S A012344 1,0,12,240,7728,428160,37912512,4960720128,901797013248, %T A012344 217415865765888,67097095431416832,25783170924788428800, %U A012344 12066773451365568000000,6755136268249010663424000 %V A012344 1,0,-12,-240,-7728,-428160,-37912512,-4960720128,-901797013248, %W A012344 -217415865765888,-67097095431416832,-25783170924788428800, %X A012344 -12066773451365568000000,-6755136268249010663424000 %N A012344 cos(arcsin(x)*arcsin(x))=1-12/4!*x^4-240/6!*x^6-7728/8!*x^8... %R A012344 %O A012344 0,3 %K A012344 sign,done %A A012344 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012345 %S A012345 2,8,248,11328,849312,94857600,14819214720,3091936512000, %T A012345 831657655349760,280473756197529600,115967597965430077440, %U A012345 57712257892456911912960,34039765801079493369569280 %N A012345 sinh(arcsin(x)*arcsin(x))=2/2!*x^2+8/4!*x^4+248/6!*x^6+11328/8!*x^8... %R A012345 %O A012345 0,1 %K A012345 nonn %A A012345 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012346 %S A012346 2,8,8,2112,42912,30652800,4329375360,111548774400,87989094796800, %T A012346 7067984075827200,26753302456361994240,13666529274765422837760, %U A012346 1617292455279293013073920,1901977500391306259142574080 %V A012346 2,8,8,-2112,42912,30652800,4329375360,111548774400,-87989094796800, %W A012346 7067984075827200,26753302456361994240,13666529274765422837760, %X A012346 1617292455279293013073920,-1901977500391306259142574080 %N A012346 arcsinh(arcsin(x)*arcsin(x))=2/2!*x^2+8/4!*x^4+8/6!*x^6-2112/8!*x^8... %R A012346 %O A012346 0,1 %K A012346 sign,done %A A012346 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012347 %S A012347 2,8,112,8832,269568,18508800,4584990720,373223424000,57291983093760, %T A012347 29502109561651200,4280300758758850560,1571738277174218588160, %U A012347 1306880625182819525591040,375520739928307414377431040 %V A012347 2,8,-112,-8832,-269568,18508800,4584990720,373223424000, %W A012347 -57291983093760,-29502109561651200,-4280300758758850560, %X A012347 1571738277174218588160,1306880625182819525591040 %N A012347 tanh(arcsin(x)*arcsin(x))=2/2!*x^2+8/4!*x^4-112/6!*x^6-8832/8!*x^8... %R A012347 %O A012347 0,1 %K A012347 sign,done %A A012347 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012348 %S A012348 2,8,368,18048,2068992,306585600,69776517120,20465184768000, %T A012348 7935055273328640,3823692307188940800,2274500815301011046400, %U A012348 1624840840672099644211200,1378125905023775157056962560 %N A012348 arctanh(arcsin(x)*arcsin(x))=2/2!*x^2+8/4!*x^4+368/6!*x^6+18048/8!*x^8... %R A012348 %O A012348 0,1 %K A012348 nonn %A A012348 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012349 %S A012349 1,0,12,240,11088,831360,92908992,14524194048,3032137705728, %T A012349 815977299898368,275301139727035392,113869459498923110400, %U A012349 56685373204085048463360,33442869828080671395840000 %N A012349 cosh(arcsin(x)*arcsin(x))=1+12/4!*x^4+240/6!*x^6+11088/8!*x^8... %R A012349 %O A012349 0,3 %K A012349 nonn %A A012349 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012350 %S A012350 1,0,12,240,17808,1637760,242818752,48180857088,12774673068288, %T A012350 4307001787772928,1807577755864845312,922535092598044569600, %U A012350 562968743814613569146880,404689929495830909079552000 %N A012350 sec(arcsin(x)*arcsin(x))=1+12/4!*x^4+240/6!*x^6+17808/8!*x^8... %R A012350 %O A012350 0,3 %K A012350 nonn %A A012350 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012351 %S A012351 1,0,12,240,1008,378240,32163648,363487488,690754821888, %T A012351 145507353366528,11585562008128512,3150884675987558400, %U A012351 573373842109571665920,1149448245885758287872000 %V A012351 1,0,-12,-240,-1008,378240,32163648,-363487488,-690754821888, %W A012351 -145507353366528,-11585562008128512,3150884675987558400, %X A012351 573373842109571665920,-1149448245885758287872000 %N A012351 sech(arcsin(x)*arcsin(x))=1-12/4!*x^4-240/6!*x^6-1008/8!*x^8... %R A012351 %O A012351 0,3 %K A012351 sign,done %A A012351 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012352 %S A012352 2,3,16,50,200,336,6064,116712,1823552,24444200,343290400,4725483984, %T A012352 68637208848,1009375584840,15551178814464,244877850035008, %U A012352 4005060390790656,66944176204337280,1150401630741440768 %V A012352 2,-3,16,-50,200,-336,-6064,116712,-1823552,24444200,-343290400, %W A012352 4725483984,-68637208848,1009375584840,-15551178814464, %X A012352 244877850035008,-4005060390790656,66944176204337280 %N A012352 sin(tan(x)*log(x+1))=2/2!*x^2-3/3!*x^3+16/4!*x^4-50/5!*x^5... %R A012352 %O A012352 0,1 %K A012352 sign,done %A A012352 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012353 %S A012353 2,3,16,50,440,2856,30896,291528,3760768,47794120,742773920, %T A012353 11810509776,214335913584,4059112319640,84773616869376, %U A012353 1860974227719872,44081861972926464,1097880401356246656 %V A012353 2,-3,16,-50,440,-2856,30896,-291528,3760768,-47794120,742773920, %W A012353 -11810509776,214335913584,-4059112319640,84773616869376, %X A012353 -1860974227719872,44081861972926464,-1097880401356246656 %N A012353 arcsin(tan(x)*log(x+1))=2/2!*x^2-3/3!*x^3+16/4!*x^4-50/5!*x^5... %R A012353 %O A012353 0,1 %K A012353 sign,done %A A012353 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012354 %S A012354 2,3,16,50,560,4116,49376,495648,6643648,86408080,1355660480, %T A012354 21635261856,389870008320,7287717739680,148738206314496, %U A012354 3175392718618112,72630134425104384,1740244201350372864 %V A012354 2,-3,16,-50,560,-4116,49376,-495648,6643648,-86408080,1355660480, %W A012354 -21635261856,389870008320,-7287717739680,148738206314496, %X A012354 -3175392718618112,72630134425104384,-1740244201350372864 %N A012354 tan(tan(x)*log(x+1))=2/2!*x^2-3/3!*x^3+16/4!*x^4-50/5!*x^5... %R A012354 %O A012354 0,1 %K A012354 sign,done %A A012354 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012355 %S A012355 2,3,16,50,440,2856,30896,291528,3518848,41141320,556495520, %T A012355 7659162576,116623578864,1844238858840,31500762034176, %U A012355 562615136891072,10696734155925504,212805382639718016 %V A012355 2,-3,16,-50,440,-2856,30896,-291528,3518848,-41141320,556495520, %W A012355 -7659162576,116623578864,-1844238858840,31500762034176, %X A012355 -562615136891072,10696734155925504,-212805382639718016 %N A012355 sinh(tan(x)*log(x+1))=2/2!*x^2-3/3!*x^3+16/4!*x^4-50/5!*x^5... %R A012355 %O A012355 0,1 %K A012355 sign,done %A A012355 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012356 %S A012356 2,3,16,50,200,336,6064,116712,1581632,17791400,157012000,574136784, %T A012356 21325944432,798665850360,19278624193536,380309849100992, %U A012356 6114157546197504,63277940734496640,554593212740135168 %V A012356 2,-3,16,-50,200,-336,-6064,116712,-1581632,17791400,-157012000, %W A012356 574136784,21325944432,-798665850360,19278624193536,-380309849100992, %X A012356 6114157546197504,-63277940734496640,-554593212740135168 %N A012356 arcsinh(tan(x)*log(x+1))=2/2!*x^2-3/3!*x^3+16/4!*x^4-50/5!*x^5... %R A012356 %O A012356 0,1 %K A012356 sign,done %A A012356 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012357 %S A012357 2,3,16,50,80,924,24544,320832,4041152,44762960,443911360,3134031264, %T A012357 10007901696,1090110964320,32403860361216,748994799421952, %U A012357 15182814672728064,270877746698076672,3931180447615393792 %V A012357 2,-3,16,-50,80,924,-24544,320832,-4041152,44762960,-443911360, %W A012357 3134031264,10007901696,-1090110964320,32403860361216, %X A012357 -748994799421952,15182814672728064,-270877746698076672 %N A012357 tanh(tan(x)*log(x+1))=2/2!*x^2-3/3!*x^3+16/4!*x^4-50/5!*x^5... %R A012357 %O A012357 0,1 %K A012357 sign,done %A A012357 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012358 %S A012358 2,3,16,50,560,4116,49376,495648,6885568,93060880,1541938880, %T A012358 25786609056,491456933760,9706007213280,211232587063296, %U A012358 4810337505293312,118025076480927744,3034967141004516864 %V A012358 2,-3,16,-50,560,-4116,49376,-495648,6885568,-93060880,1541938880, %W A012358 -25786609056,491456933760,-9706007213280,211232587063296, %X A012358 -4810337505293312,118025076480927744,-3034967141004516864 %N A012358 arctanh(tan(x)*log(x+1))=2/2!*x^2-3/3!*x^3+16/4!*x^4-50/5!*x^5... %R A012358 %O A012358 0,1 %K A012358 sign,done %A A012358 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012359 %S A012359 1,0,0,0,12,60,570,3780,43680,447552,6232200,82861680,1313835336, %T A012359 21072521184,381305512224,7156099161120,146595771528960, %U A012359 3138961332436864,71962899144642240,1727305895227033728 %V A012359 1,0,0,0,12,-60,570,-3780,43680,-447552,6232200,-82861680, %W A012359 1313835336,-21072521184,381305512224,-7156099161120, %X A012359 146595771528960,-3138961332436864,71962899144642240 %N A012359 sec(tan(x)*log(x+1))=1+12/4!*x^4-60/5!*x^5+570/6!*x^6-3780/7!*x^7... %R A012359 %O A012359 0,5 %K A012359 sign,done %A A012359 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012360 %S A012360 1,0,0,0,12,60,570,3780,26880,145152,67800,19702320,483806664, %T A012360 8808530016,143791860576,2098017710880,26000312931840, %U A012360 200354333649536,2365679417115840,173236427161446528 %V A012360 1,0,0,0,-12,60,-570,3780,-26880,145152,67800,-19702320,483806664, %W A012360 -8808530016,143791860576,-2098017710880,26000312931840, %X A012360 -200354333649536,-2365679417115840,173236427161446528 %N A012360 sech(tan(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-570/6!*x^6+3780/7!*x^7... %R A012360 %O A012360 0,5 %K A012360 sign,done %A A012360 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012361 %S A012361 1,2,6,24,160,1312,13496,162624,2282880,36300032,646542336, %T A012361 12732724224,274854736000,6451455453952,163604692933376, %U A012361 4457345570893824,129841475781611520,4026939664026755072 %N A012361 arcsin(tan(x)*exp(x))=x+2/2!*x^2+6/3!*x^3+24/4!*x^4+160/5!*x^5... %R A012361 %O A012361 0,2 %K A012361 nonn %A A012361 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012362 %S A012362 1,2,4,0,60,488,1416,20160,427280,3830432,7233536,955342080, %T A012362 18140316480,120169970048,3583792700544,145171043297280, %U A012362 2388380775676160,7380519436860928,1710892457585202176 %V A012362 1,2,4,0,-60,-488,-1416,20160,427280,3830432,-7233536,-955342080, %W A012362 -18140316480,-120169970048,3583792700544,145171043297280, %X A012362 2388380775676160,-7380519436860928,-1710892457585202176 %N A012362 arcsinh(tan(x)*exp(x))=x+2/2!*x^2+4/3!*x^3-60/5!*x^5-488/6!*x^6... %R A012362 %O A012362 0,2 %K A012362 sign,done %A A012362 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012363 %S A012363 1,2,7,36,285,2662,30147,395976,5968505,101054282,1901962687, %T A012363 39368308716,889051951125,21749632880302,573017429752827, %U A012363 16174993678778256,487024011982108145,15580632579831576722 %N A012363 arctanh(tan(x)*exp(x))=x+2/2!*x^2+7/3!*x^3+36/4!*x^4+285/5!*x^5... %R A012363 %O A012363 0,2 %K A012363 nonn %A A012363 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012364 %S A012364 1,0,1,6,37,260,2317,24178,288937,3858312,57255609,933952030, %T A012364 16622217357,320373757964,6649221916677,147840789218442, %U A012364 3506147948661457,88343770525310736,2356871357851041777 %N A012364 sec(tan(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+37/4!*x^4+260/5!*x^5... %R A012364 %O A012364 0,4 %K A012364 nonn %A A012364 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012365 %S A012365 1,0,1,6,27,60,483,9422,92393,507528,2635609,125548830,2109466227, %T A012365 20314641204,35281684683,6713017752758,172379768794193, %U A012365 2531995009465104,6214077724791503,977218995921967926 %V A012365 1,0,-1,-6,-27,-60,483,9422,92393,507528,-2635609,-125548830, %W A012365 -2109466227,-20314641204,35281684683,6713017752758,172379768794193, %X A012365 2531995009465104,6214077724791503,-977218995921967926 %N A012365 sech(tan(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-27/4!*x^4-60/5!*x^5... %R A012365 %O A012365 0,4 %K A012365 sign,done %A A012365 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012366 %S A012366 2,4,58,1976,125878,9435956,836433778,89733620336,11137238248558, %T A012366 1522227026225516,206921536362952618,18449844567266861096, %U A012366 5345369219895500654042,5647561940802724266444124 %V A012366 2,4,-58,-1976,-125878,-9435956,-836433778,-89733620336, %W A012366 -11137238248558,-1522227026225516,-206921536362952618, %X A012366 -18449844567266861096,5345369219895500654042 %N A012366 sin(tan(x)*sin(x))=2/2!*x^2+4/4!*x^4-58/6!*x^6-1976/8!*x^8... %R A012366 %O A012366 0,1 %K A012366 sign,done %A A012366 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012367 %S A012367 2,4,182,4744,529322,48105484,10255687262,2093833598224, %T A012367 726081240978002,263899836304146964,136202276398304865542, %U A012367 76934684795610521975704,55707277555172304209573882 %N A012367 arcsin(tan(x)*sin(x))=2/2!*x^2+4/4!*x^4+182/6!*x^6+4744/8!*x^8... %R A012367 %O A012367 0,1 %K A012367 nonn %A A012367 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012368 %S A012368 2,4,302,8104,947642,86855404,16203909542,3130092938704, %T A012368 896924477276402,290713861720990804,121467176505314129822, %U A012368 58492863120535523766904,33925794100542844193202602 %N A012368 tan(tan(x)*sin(x))=2/2!*x^2+4/4!*x^4+302/6!*x^6+8104/8!*x^8... %R A012368 %O A012368 0,1 %K A012368 nonn %A A012368 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012369 %S A012369 2,4,182,4744,287402,21494284,2264343902,304602955024,51600721945682, %T A012369 10697629642233364,2665265431805294342,785147451273373098904, %U A012369 269855118987322780537082,106983136938538203343804444 %N A012369 sinh(tan(x)*sin(x))=2/2!*x^2+4/4!*x^4+182/6!*x^6+4744/8!*x^8... %R A012369 %O A012369 0,1 %K A012369 nonn %A A012369 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012370 %S A012370 2,4,58,1976,116042,17175244,594271858,470273780336,11672416091758, %T A012370 34320709687067284,5944386529990688342,5070047337737884665896, %U A012370 2469435785086687214539558,1237418189677509873429516124 %V A012370 2,4,-58,-1976,116042,17175244,-594271858,-470273780336, %W A012370 -11672416091758,34320709687067284,5944386529990688342, %X A012370 -5070047337737884665896,-2469435785086687214539558 %N A012370 arcsinh(tan(x)*sin(x))=2/2!*x^2+4/4!*x^4-58/6!*x^6-1976/8!*x^8... %R A012370 %O A012370 0,1 %K A012370 sign,done %A A012370 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012371 %S A012371 2,4,178,5336,121082,24994924,661822982,273928948016,42186434881678, %T A012371 4278599785289044,2873614390992176702,193732299468570630904, %U A012371 268774878028807800675478,95724942960306213127796036 %V A012371 2,4,-178,-5336,121082,24994924,661822982,-273928948016, %W A012371 -42186434881678,4278599785289044,2873614390992176702, %X A012371 193732299468570630904,-268774878028807800675478 %N A012371 tanh(tan(x)*sin(x))=2/2!*x^2+4/4!*x^4-178/6!*x^6-5336/8!*x^8... %R A012371 %O A012371 0,1 %K A012371 sign,done %A A012371 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012372 %S A012372 2,4,302,8104,1189562,113466604,28069843622,6004208983504, %T A012372 2285772143562482,867405503682334804,478060568033873866142, %U A012372 280896639757518649936504,213833919524790465586194602 %N A012372 arctanh(tan(x)*sin(x))=2/2!*x^2+4/4!*x^4+302/6!*x^6+8104/8!*x^8... %R A012372 %O A012372 0,1 %K A012372 nonn %A A012372 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012373 %S A012373 1,0,12,120,12432,680640,102772032,14295765120,3342487648512, %T A012373 854980598876160,298224965387983872,119257847834622351360, %U A012373 59074248780911484506112,33687669462151354934968320 %N A012373 sec(tan(x)*sin(x))=1+12/4!*x^4+120/6!*x^6+12432/8!*x^8... %R A012373 %O A012373 0,3 %K A012373 nonn %A A012373 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012374 %S A012374 1,0,12,120,4368,327360,762432,2379861120,176278202112, %T A012374 34929443235840,10554181240931328,234919154252175360, %U A012374 852275452306594394112,157606057918154970808320 %V A012374 1,0,-12,-120,4368,327360,-762432,-2379861120,-176278202112, %W A012374 34929443235840,10554181240931328,-234919154252175360, %X A012374 -852275452306594394112,-157606057918154970808320 %N A012374 sech(tan(x)*sin(x))=1-12/4!*x^4-120/6!*x^6+4368/8!*x^8... %R A012374 %O A012374 0,3 %K A012374 sign,done %A A012374 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012375 %S A012375 1,2,24,670,33320,2585578,288966436,44079504222,8829945884336, %T A012375 2255967459804498,718404622768739004,279841132618425752966, %U A012375 131251206110226657893896,73120300314496783663622266 %N A012375 exp(tan(x)*arcsin(x))=1+2/2!*x^2+24/4!*x^4+670/6!*x^6+33320/8!*x^8... %R A012375 %O A012375 0,2 %K A012375 nonn %A A012375 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012376 %S A012376 2,12,70,4200,589622,71780060,9953562866,1649406539984, %T A012376 331640559601518,81879655146380228,25184651270216865066, %U A012376 9774076865809985447224,4793386661964138913000614 %V A012376 2,12,70,-4200,-589622,-71780060,-9953562866,-1649406539984, %W A012376 -331640559601518,-81879655146380228,-25184651270216865066, %X A012376 -9774076865809985447224,-4793386661964138913000614 %N A012376 sin(tan(x)*arcsin(x))=2/2!*x^2+12/4!*x^4+70/6!*x^6-4200/8!*x^8... %R A012376 %O A012376 0,1 %K A012376 sign,done %A A012376 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012377 %S A012377 2,12,310,15960,1517098,224269540,48197922526,14130438821296, %T A012377 5428021401209682,2643726413982309052,1592189299187949292422, %U A012377 1161629303960888128771592,1009558061720938140021739386 %N A012377 arcsin(tan(x)*arcsin(x))=2/2!*x^2+12/4!*x^4+310/6!*x^6+15960/8!*x^8... %R A012377 %O A012377 0,1 %K A012377 nonn %A A012377 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012378 %S A012378 2,12,430,26040,2661178,402231940,84456360742,23476965450736, %T A012378 8341678414816242,3686586514781799292,1982979948714026781726, %U A012378 1275341677617693817452200,966341800352400737116306986 %N A012378 tan(tan(x)*arcsin(x))=2/2!*x^2+12/4!*x^4+430/6!*x^6+26040/8!*x^8... %R A012378 %O A012378 0,1 %K A012378 nonn %A A012378 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012379 %S A012379 1,0,12,360,14000,705600,42520896,2581394816,50539790080, %T A012379 43910434596864,18893865109070848,6357906196273494016, %U A012379 1895076999147133456384,366371561754009899909120 %V A012379 1,0,-12,-360,-14000,-705600,-42520896,-2581394816,-50539790080, %W A012379 43910434596864,18893865109070848,6357906196273494016, %X A012379 1895076999147133456384,366371561754009899909120 %N A012379 cos(tan(x)*arcsin(x))=1-12/4!*x^4-360/6!*x^6-14000/8!*x^8... %R A012379 %O A012379 0,3 %K A012379 sign,done %A A012379 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012380 %S A012380 2,12,310,15960,1275178,144435940,22125155806,4434275544496, %T A012380 1132379391991122,360443126615627452,140377052282997200262, %U A012380 65840588544634920144392,36684663022679611837425786 %N A012380 sinh(tan(x)*arcsin(x))=2/2!*x^2+12/4!*x^4+310/6!*x^6+15960/8!*x^8... %R A012380 %O A012380 0,1 %K A012380 nonn %A A012380 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012381 %S A012381 2,12,70,4200,347702,8053540,8370022414,1537444327216,75026900539758, %T A012381 163917764618098628,46635653602838486826,19561200248822504710856, %U A012381 28903055462807082203920986,11307625225614922519734334292 %V A012381 2,12,70,-4200,-347702,8053540,8370022414,1537444327216, %W A012381 -75026900539758,-163917764618098628,-46635653602838486826, %X A012381 19561200248822504710856,28903055462807082203920986 %N A012381 arcsinh(tan(x)*arcsin(x))=2/2!*x^2+12/4!*x^4+70/6!*x^6-4200/8!*x^8... %R A012381 %O A012381 0,1 %K A012381 sign,done %A A012381 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012382 %S A012382 2,12,50,14280,1068422,30200060,10958392198,3463555073776, %T A012382 545166839566962,49116089574216068,83255760459250654530, %U A012382 37791627619282937372632,5498203465858654403105814 %V A012382 2,12,-50,-14280,-1068422,-30200060,10958392198,3463555073776, %W A012382 545166839566962,-49116089574216068,-83255760459250654530, %X A012382 -37791627619282937372632,-5498203465858654403105814 %N A012382 tanh(tan(x)*arcsin(x))=2/2!*x^2+12/4!*x^4-50/6!*x^6-14280/8!*x^8... %R A012382 %O A012382 0,1 %K A012382 sign,done %A A012382 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012383 %S A012383 2,12,430,26040,2903098,482065540,114403718182,36427784932336, %T A012383 15033693897929202,7796959901543040892,4965936966951067746846, %U A012383 3810003526358223726689960,3466033186882425920541836586 %N A012383 arctanh(tan(x)*arcsin(x))=2/2!*x^2+12/4!*x^4+430/6!*x^6+26040/8!*x^8... %R A012383 %O A012383 0,1 %K A012383 nonn %A A012383 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012384 %S A012384 1,0,12,360,17360,1310400,144530496,21954348416,4395670339840, %T A012384 1123588067813376,357961496153111552,139464080335428552704, %U A012384 65410617565591737749504,36435637291817171826196480 %N A012384 cosh(tan(x)*arcsin(x))=1+12/4!*x^4+360/6!*x^6+17360/8!*x^8... %R A012384 %O A012384 0,3 %K A012384 nonn %A A012384 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012385 %S A012385 1,0,12,360,24080,2520000,388466496,82494828416,23101056559360, %T A012385 8247662229497856,3656849221865495552,1971359917831265798144, %U A012385 1269841106398055675924480,963238435991748310206791680 %N A012385 sec(tan(x)*arcsin(x))=1+12/4!*x^4+360/6!*x^6+24080/8!*x^8... %R A012385 %O A012385 0,3 %K A012385 nonn %A A012385 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012386 %S A012386 1,0,12,360,7280,504000,121581504,14369939584,56810973440, %T A012386 657138821830656,255226784793623552,45397358372525164544, %U A012386 15722139759017802895360,20152649683846086682296320 %V A012386 1,0,-12,-360,-7280,504000,121581504,14369939584,56810973440, %W A012386 -657138821830656,-255226784793623552,-45397358372525164544, %X A012386 15722139759017802895360,20152649683846086682296320 %N A012386 sech(tan(x)*arcsin(x))=1-12/4!*x^4-360/6!*x^6-7280/8!*x^8... %R A012386 %O A012386 0,3 %K A012386 sign,done %A A012386 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012387 %S A012387 2,16,152,5504,1107808,155757824,22741022848,3557729644544, %T A012387 565165935635968,73212906789515264,4150737348343519232, %U A012387 11583034460298696687616,8797240254608561943191552 %V A012387 2,16,152,-5504,-1107808,-155757824,-22741022848,-3557729644544, %W A012387 -565165935635968,-73212906789515264,4150737348343519232, %X A012387 11583034460298696687616,8797240254608561943191552 %N A012387 sin(tan(x)*tan(x))=2/2!*x^2+16/4!*x^4+152/6!*x^6-5504/8!*x^8... %R A012387 %O A012387 0,1 %K A012387 sign,done %A A012387 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012388 %S A012388 2,16,392,21376,2117792,333550336,76433892992,23981418704896, %T A012388 9862199971860992,5144452992189485056,3317894031273853601792, %U A012388 2591931617534673513250816,2411532576645611695219515392 %N A012388 arcsin(tan(x)*tan(x))=2/2!*x^2+16/4!*x^4+392/6!*x^6+21376/8!*x^8... %R A012388 %O A012388 0,1 %K A012388 nonn %A A012388 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012389 %S A012389 2,16,512,34816,3821312,618121216,138682959872,41171702972416, %T A012389 15610723195092992,7357121913006063616,4217775794187229724672, %U A012389 2889975739296119171055616,2332177121915783600628826112 %N A012389 tan(tan(x)*tan(x))=2/2!*x^2+16/4!*x^4+512/6!*x^6+34816/8!*x^8... %R A012389 %O A012389 0,1 %K A012389 nonn %A A012389 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012390 %S A012390 2,16,392,21376,1875872,227105536,35750690432,7110343684096, %T A012390 1750588208886272,523940264885702656,187423773435078920192, %U A012390 78905518064423548911616,38568578386644134655598592 %N A012390 sinh(tan(x)*tan(x))=2/2!*x^2+16/4!*x^4+392/6!*x^6+21376/8!*x^8... %R A012390 %O A012390 0,1 %K A012390 nonn %A A012390 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012391 %S A012391 2,16,152,5504,865888,49313024,10192998272,4634262163456, %T A012391 729893872005632,280859292338008064,286057930617679095808, %U A012391 94104910901654903619584,51677977224364973979901952 %V A012391 2,16,152,-5504,-865888,-49313024,10192998272,4634262163456, %W A012391 729893872005632,-280859292338008064,-286057930617679095808, %X A012391 -94104910901654903619584,51677977224364973979901952 %N A012391 arcsinh(tan(x)*tan(x))=2/2!*x^2+16/4!*x^4+152/6!*x^6-5504/8!*x^8... %R A012391 %O A012391 0,1 %K A012391 sign,done %A A012391 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012392 %S A012392 2,16,32,18944,2146048,147605504,12359002112,9374161371136, %T A012392 2762835317030912,343159496128331776,231213975915368808448, %U A012392 236417180330506147856384,118337919812286157284179968 %V A012392 2,16,32,-18944,-2146048,-147605504,12359002112,9374161371136, %W A012392 2762835317030912,343159496128331776,-231213975915368808448, %X A012392 -236417180330506147856384,-118337919812286157284179968 %N A012392 tanh(tan(x)*tan(x))=2/2!*x^2+16/4!*x^4+32/6!*x^6-18944/8!*x^8... %R A012392 %O A012392 0,1 %K A012392 sign,done %A A012392 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012393 %S A012393 2,16,512,34816,4063232,724566016,183240753152,62382319599616, %T A012393 27507470234550272,15250953398036463616,10384044045105304174592, %U A012393 8517992937742473694806016,8285310016381680852100186112 %N A012393 arctanh(tan(x)*tan(x))=2/2!*x^2+16/4!*x^4+512/6!*x^6+34816/8!*x^8... %R A012393 %O A012393 0,1 %K A012393 nonn %A A012393 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012394 %S A012394 1,0,12,480,32592,3644160,601225152,136477985280,40777726478592, %T A012394 15519265846026240,7330634507726810112,4208431377781384765440, %U A012394 2886028889205733569318912,2330210584650322816604897280 %N A012394 sec(tan(x)*tan(x))=1+12/4!*x^4+480/6!*x^6+32592/8!*x^8... %R A012394 %O A012394 0,3 %K A012394 nonn %A A012394 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012395 %S A012395 1,0,12,480,15792,387840,232592448,44951262720,4538494871808, %T A012395 1173690989322240,1020600368000166912,406075179314308669440, %U A012395 50036577406600515366912,87776293107173235762462720 %V A012395 1,0,-12,-480,-15792,387840,232592448,44951262720,4538494871808, %W A012395 -1173690989322240,-1020600368000166912,-406075179314308669440, %X A012395 -50036577406600515366912,87776293107173235762462720 %N A012395 sech(tan(x)*tan(x))=1-12/4!*x^4-480/6!*x^6-15792/8!*x^8... %R A012395 %O A012395 0,3 %K A012395 sign,done %A A012395 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012396 %S A012396 1,0,2,3,12,70,418,2604,20048,189288,1883592,19386840,226594632, %T A012396 3022978608,42088762896,602721577080,9458674967808,163559679584064, %U A012396 2928052794471360,53694788632038144,1057848063785058432 %V A012396 1,0,2,-3,12,-70,418,-2604,20048,-189288,1883592,-19386840, %W A012396 226594632,-3022978608,42088762896,-602721577080,9458674967808, %X A012396 -163559679584064,2928052794471360,-53694788632038144 %N A012396 exp(arctan(x)*log(x+1))=1+2/2!*x^2-3/3!*x^3+12/4!*x^4-70/5!*x^5... %R A012396 %O A012396 0,3 %K A012396 sign,done %A A012396 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012397 %S A012397 2,3,0,10,88,336,5040,5256,39168,4557960,52889760,157744080, %T A012397 3302278800,144206160840,1889577930240,8430486227520,277909168727040, %U A012397 12092516753915520,180143306775855360,1024522489518595200 %V A012397 2,-3,0,-10,88,336,-5040,5256,-39168,4557960,-52889760,157744080, %W A012397 -3302278800,144206160840,-1889577930240,8430486227520, %X A012397 -277909168727040,12092516753915520,-180143306775855360 %N A012397 sin(arctan(x)*log(x+1))=2/2!*x^2-3/3!*x^3-10/5!*x^5+88/6!*x^6... %R A012397 %O A012397 0,1 %K A012397 sign,done %A A012397 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012398 %S A012398 2,3,0,10,328,2184,5040,40104,1553472,21776040,152681760,1439989200, %T A012398 46442776560,1043187246360,14230149373440,192510158608320, %U A012398 5340852070126080,157714328056487040,3376771926446741760 %V A012398 2,-3,0,-10,328,-2184,5040,-40104,1553472,-21776040,152681760, %W A012398 -1439989200,46442776560,-1043187246360,14230149373440, %X A012398 -192510158608320,5340852070126080,-157714328056487040 %N A012398 arcsin(arctan(x)*log(x+1))=2/2!*x^2-3/3!*x^3-10/5!*x^5+328/6!*x^6... %R A012398 %O A012398 0,1 %K A012398 sign,done %A A012398 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012399 %S A012399 2,3,0,10,32,1596,10080,27936,19008,4728240,113762880,1378522080, %T A012399 12151639680,24566643360,3018767431680,84947924490240, %U A012399 1424022331422720,18489594521756160,42627235124920320 %V A012399 2,-3,0,-10,-32,1596,-10080,27936,-19008,-4728240,113762880, %W A012399 -1378522080,12151639680,-24566643360,-3018767431680,84947924490240, %X A012399 -1424022331422720,18489594521756160,-42627235124920320 %N A012399 arctan(atan(x)*log(x+1))=2/2!*x^2-3/3!*x^3-10/5!*x^5-32/6!*x^6... %R A012399 %O A012399 0,1 %K A012399 sign,done %A A012399 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012400 %S A012400 1,0,0,0,12,60,90,420,11648,88704,118440,1491600,85167192,865152288, %T A012400 317981664,19296033120,2535023513088,30778504850304,126137259616320, %U A012400 388230513819264,214673614448387712,2892453523633497600 %V A012400 1,0,0,0,-12,60,-90,420,-11648,88704,-118440,1491600,-85167192, %W A012400 865152288,317981664,19296033120,-2535023513088,30778504850304, %X A012400 126137259616320,388230513819264,-214673614448387712 %N A012400 cos(arctan(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-90/6!*x^6+420/7!*x^7... %R A012400 %O A012400 0,5 %K A012400 sign,done %A A012400 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012401 %S A012401 2,3,0,10,328,2184,5040,40104,1311552,15123240,72848160,748098000, %T A012401 27513786480,450798649560,3381295357440,44199243856320, %U A012401 1837919010900480,39019174967975040,402216681934690560 %V A012401 2,-3,0,-10,328,-2184,5040,-40104,1311552,-15123240,72848160, %W A012401 -748098000,27513786480,-450798649560,3381295357440,-44199243856320, %X A012401 1837919010900480,-39019174967975040,402216681934690560 %N A012401 sinh(arctan(x)*log(x+1))=2/2!*x^2-3/3!*x^3-10/5!*x^5+328/6!*x^6... %R A012401 %O A012401 0,1 %K A012401 sign,done %A A012401 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012402 %S A012402 2,3,0,10,88,336,5040,5256,202752,2094840,26943840,534147120, %T A012402 7877529840,41350410360,804692528640,16885512006720,166653340523520, %U A012402 3621340758072960,48704381263560960,2035821123825148800 %V A012402 2,-3,0,-10,88,336,-5040,5256,202752,-2094840,26943840,-534147120, %W A012402 7877529840,-41350410360,-804692528640,16885512006720, %X A012402 -166653340523520,3621340758072960,-48704381263560960 %N A012402 arcsinh(arctan(x)*log(x+1))=2/2!*x^2-3/3!*x^3-10/5!*x^5+88/6!*x^6... %R A012402 %O A012402 0,1 %K A012402 sign,done %A A012402 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012403 %S A012403 2,3,0,10,32,1596,10080,27936,260928,1924560,33929280,686630880, %T A012403 4846421760,42426084960,778331473920,1890071554560,216298842931200, %U A012403 4070252020032000,41366803088056320,741252859035494400 %V A012403 2,-3,0,-10,-32,1596,-10080,27936,-260928,1924560,33929280, %W A012403 -686630880,4846421760,-42426084960,778331473920,-1890071554560, %X A012403 -216298842931200,4070252020032000,-41366803088056320 %N A012403 tanh(arctan(x)*log(x+1))=2/2!*x^2-3/3!*x^3-10/5!*x^5-32/6!*x^6... %R A012403 %O A012403 0,1 %K A012403 sign,done %A A012403 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012404 %S A012404 2,3,0,10,448,3444,10080,62784,2682432,44090640,365238720,3190206240, %T A012404 98622664320,2518618203360,38819985684480,522802362915840, %U A012404 13679170866554880,437041001210135040,10235295943375749120 %V A012404 2,-3,0,-10,448,-3444,10080,-62784,2682432,-44090640,365238720, %W A012404 -3190206240,98622664320,-2518618203360,38819985684480, %X A012404 -522802362915840,13679170866554880,-437041001210135040 %N A012404 arctanh(atan(x)*log(x+1))=2/2!*x^2-3/3!*x^3-10/5!*x^5+448/6!*x^6... %R A012404 %O A012404 0,1 %K A012404 sign,done %A A012404 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012405 %S A012405 1,0,0,0,12,60,90,420,15008,149184,572040,4263600,153746472, %T A012405 2274880608,14574976416,151922927520,6077379610368,119360435727744, %U A012405 1090133783570880,14675613664063104,655631381850367872 %V A012405 1,0,0,0,12,-60,90,-420,15008,-149184,572040,-4263600,153746472, %W A012405 -2274880608,14574976416,-151922927520,6077379610368, %X A012405 -119360435727744,1090133783570880,-14675613664063104 %N A012405 cosh(arctan(x)*log(x+1))=1+12/4!*x^4-60/5!*x^5+90/6!*x^6-420/7!*x^7... %R A012405 %O A012405 0,5 %K A012405 sign,done %A A012405 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012406 %S A012406 1,0,0,0,12,60,90,420,21728,270144,1479240,9807600,330821832, %T A012406 6651092448,71604108576,744095308320,20714430198528,548875353239424, %U A012406 9233126375705280,138948347142163584,3734618068078276992 %V A012406 1,0,0,0,12,-60,90,-420,21728,-270144,1479240,-9807600,330821832, %W A012406 -6651092448,71604108576,-744095308320,20714430198528, %X A012406 -548875353239424,9233126375705280,-138948347142163584 %N A012406 sec(arctan(x)*log(x+1))=1+12/4!*x^4-60/5!*x^5+90/6!*x^6-420/7!*x^7... %R A012406 %O A012406 0,5 %K A012406 sign,done %A A012406 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012407 %S A012407 1,0,0,0,12,60,90,420,4928,32256,788760,4052400,12074568,397549152, %T A012407 2860681824,80960836320,1570434928128,8575093540224,83967092441280, %U A012407 3671889608928384,27749577690072192,1264936280111884800 %V A012407 1,0,0,0,-12,60,-90,420,-4928,-32256,788760,-4052400,12074568, %W A012407 -397549152,2860681824,80960836320,-1570434928128,8575093540224, %X A012407 -83967092441280,3671889608928384,-27749577690072192 %N A012407 sech(arctan(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-90/6!*x^6+420/7!*x^7... %R A012407 %O A012407 0,5 %K A012407 sign,done %A A012407 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012408 %S A012408 1,1,3,8,25,100,465,2186,10273,58568,428193,2778382,11360177, %T A012408 71102044,1639157169,15866637762,85280723135,1590866608240, %U A012408 41214840121921,683822331420054,11338214469525167,238275514595968988 %V A012408 1,1,3,8,25,100,465,2186,10273,58568,428193,2778382,11360177, %W A012408 71102044,1639157169,15866637762,-85280723135,-1590866608240, %X A012408 41214840121921,683822331420054,-11338214469525167 %N A012408 exp(arctan(x)*exp(x))=1+x+3/2!*x^2+8/3!*x^3+25/4!*x^4+100/5!*x^5... %R A012408 %O A012408 0,3 %K A012408 sign,done %A A012408 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012409 %S A012409 1,2,0,16,60,40,336,2560,20976,342688,4002944,24866048,523996096, %T A012409 3812202368,103065059072,777384271872,26888473739008,196597142376960, %U A012409 8734488670474240,63053651090673664,3499556244537359360 %V A012409 1,2,0,-16,-60,-40,336,-2560,-20976,342688,4002944,-24866048, %W A012409 -523996096,3812202368,103065059072,-777384271872,-26888473739008, %X A012409 196597142376960,8734488670474240,-63053651090673664 %N A012409 sin(arctan(x)*exp(x))=x+2/2!*x^2-16/4!*x^4-60/5!*x^5-40/6!*x^6... %R A012409 %O A012409 0,2 %K A012409 sign,done %A A012409 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012410 %S A012410 1,2,2,8,88,560,3880,48064,645376,8447488,129332480,2305269760, %T A012410 43823270528,893173681920,19883237893376,476731844235264, %U A012410 12171513901662208,330755844515020800,9543303550734733312 %N A012410 arcsin(arctan(x)*exp(x))=x+2/2!*x^2+2/3!*x^3+8/4!*x^4+88/5!*x^5... %R A012410 %O A012410 0,2 %K A012410 nonn %A A012410 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012411 %S A012411 1,2,1,28,107,470,10243,51592,677879,15870422,76105753,2647708780, %T A012411 62662672733,171362144382,21259413359701,489069754224624, %U A012411 774485831879569,300884931182492754,6496594815465822031 %V A012411 1,2,-1,-28,-107,470,10243,51592,-677879,-15870422,-76105753, %W A012411 2647708780,62662672733,171362144382,-21259413359701, %X A012411 -489069754224624,774485831879569,300884931182492754 %N A012411 arctan(atan(x)*exp(x))=x+2/2!*x^2-1/3!*x^3-28/4!*x^4-107/5!*x^5... %R A012411 %O A012411 0,2 %K A012411 sign,done %A A012411 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012412 %S A012412 1,0,1,6,15,20,255,70,3423,46728,501375,3625358,60112239,420430556, %T A012412 9211149311,79037179650,2033765765567,18361020368016,572833991092479, %U A012412 5418169914165654,201869115241158607,1984052401918323492 %V A012412 1,0,-1,-6,-15,20,255,70,-3423,46728,501375,-3625358,-60112239, %W A012412 420430556,9211149311,-79037179650,-2033765765567,18361020368016, %X A012412 572833991092479,-5418169914165654,-201869115241158607 %N A012412 cos(arctan(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-15/4!*x^4+20/5!*x^5... %R A012412 %O A012412 0,4 %K A012412 sign,done %A A012412 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012413 %S A012413 1,2,2,8,80,320,16,1920,99776,416128,5760896,13486592,1070744064, %T A012413 3323114496,195141029888,464796680192,51108813787136,107290616242176, %U A012413 16422323853352960,25773434486882304,6558725505114046464 %V A012413 1,2,2,8,80,320,16,1920,99776,416128,-5760896,-13486592,1070744064, %W A012413 3323114496,-195141029888,-464796680192,51108813787136, %X A012413 107290616242176,-16422323853352960,-25773434486882304 %N A012413 sinh(arctan(x)*exp(x))=x+2/2!*x^2+2/3!*x^3+8/4!*x^4+80/5!*x^5... %R A012413 %O A012413 0,2 %K A012413 sign,done %A A012413 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012414 %S A012414 1,2,0,16,52,200,3752,18496,190384,4797152,28063552,661457920, %T A012414 17348360768,74504846208,4999196993152,124352680593408, %U A012414 83620707815168,65968266617811456,1541961961341134848 %V A012414 1,2,0,-16,-52,200,3752,18496,-190384,-4797152,-28063552,661457920, %W A012414 17348360768,74504846208,-4999196993152,-124352680593408, %X A012414 -83620707815168,65968266617811456,1541961961341134848 %N A012414 arcsinh(arctan(x)*exp(x))=x+2/2!*x^2-16/4!*x^4-52/5!*x^5+200/6!*x^6... %R A012414 %O A012414 0,2 %K A012414 sign,done %A A012414 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012415 %S A012415 1,2,1,28,115,230,7051,43080,172327,6067382,47080361,309697324, %T A012415 12289126629,114505019694,1105109602973,48948382516592, %U A012415 522517588252495,7065091754607762,338212264324430255 %V A012415 1,2,-1,-28,-115,230,7051,43080,-172327,-6067382,-47080361, %W A012415 309697324,12289126629,114505019694,-1105109602973,-48948382516592, %X A012415 -522517588252495,7065091754607762,338212264324430255 %N A012415 tanh(arctan(x)*exp(x))=x+2/2!*x^2-1/3!*x^3-28/4!*x^4-115/5!*x^5... %R A012415 %O A012415 0,2 %K A012415 sign,done %A A012415 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012416 %S A012416 1,2,3,20,173,1190,11039,140968,1855481,26494858,441706331, %T A012416 8105309500,159190672613,3403623626286,78823813121975, %U A012416 1949180731782480,51354602068725361,1439864769232356882 %N A012416 arctanh(atan(x)*exp(x))=x+2/2!*x^2+3/3!*x^3+20/4!*x^4+173/5!*x^5... %R A012416 %O A012416 0,2 %K A012416 nonn %A A012416 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012417 %S A012417 1,0,1,6,17,20,145,2170,8353,41208,12065,8539278,24846769,999642020, %T A012417 1683957327,211007667650,379515957057,52699680395376,66075776120255, %U A012417 17106146184773014,14435220017357137,6797001019710015452 %V A012417 1,0,1,6,17,20,145,2170,8353,-41208,12065,8539278,24846769, %W A012417 -999642020,-1683957327,211007667650,379515957057,-52699680395376, %X A012417 -66075776120255,17106146184773014,14435220017357137 %N A012417 cosh(arctan(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+17/4!*x^4+20/5!*x^5... %R A012417 %O A012417 0,4 %K A012417 sign,done %A A012417 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012418 %S A012418 1,0,1,6,21,100,1005,9170,73353,794952,11042745,144625118,1936131549, %T A012418 31475441452,562265168101,9960214270890,187956163443857, %U A012418 3970728871687824,88040662078595313,1994667867977462454 %N A012418 sec(arctan(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+21/4!*x^4+100/5!*x^5... %R A012418 %O A012418 0,4 %K A012418 nonn %A A012418 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012419 %S A012419 1,0,1,6,11,100,995,2030,45943,568632,1189145,54818082,845395901, %T A012419 1936128428,142744278261,2685086733290,6197620433007,713212265955216, %U A012419 15393015776009807,26780979282600266,6003671749022802427 %V A012419 1,0,-1,-6,-11,100,995,2030,-45943,-568632,-1189145,54818082, %W A012419 845395901,1936128428,-142744278261,-2685086733290,-6197620433007, %X A012419 713212265955216,15393015776009807,26780979282600266 %N A012419 sech(arctan(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-11/4!*x^4+100/5!*x^5... %R A012419 %O A012419 0,4 %K A012419 sign,done %A A012419 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012420 %S A012420 1,2,0,50,56,27178,2358884,320163870,64993423408,17229734819538, %T A012420 5720421047111484,2329873846478810630,1143585527502409144520, %U A012420 666071310836628939214906,454305678798485051002579924 %V A012420 1,2,0,-50,56,27178,-2358884,320163870,-64993423408,17229734819538, %W A012420 -5720421047111484,2329873846478810630,-1143585527502409144520, %X A012420 666071310836628939214906,-454305678798485051002579924 %N A012420 exp(arctan(x)*sin(x))=1+2/2!*x^2-50/6!*x^6+56/8!*x^8+27178/10!*x^10... %R A012420 %O A012420 0,2 %K A012420 sign,done %A A012420 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012421 %S A012421 2,12,70,2856,406262,53106460,8809933106,1910193704272, %T A012421 531575014780398,185190064964692804,78983931548861495466, %U A012421 40480351020220065079928,24547642682771502545050854 %V A012421 2,-12,70,2856,-406262,53106460,-8809933106,1910193704272, %W A012421 -531575014780398,185190064964692804,-78983931548861495466, %X A012421 40480351020220065079928,-24547642682771502545050854 %N A012421 sin(arctan(x)*sin(x))=2/2!*x^2-12/4!*x^4+70/6!*x^6+2856/8!*x^8... %R A012421 %O A012421 0,1 %K A012421 sign,done %A A012421 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012422 %S A012422 2,12,310,17304,1700458,258909860,56652535966,16866155567408, %T A012422 6564236008307922,3237559423419911996,1974150395798812732422, %U A012422 1458519974560491245318344,1283942399735883713487058746 %V A012422 2,-12,310,-17304,1700458,-258909860,56652535966,-16866155567408, %W A012422 6564236008307922,-3237559423419911996,1974150395798812732422, %X A012422 -1458519974560491245318344,1283942399735883713487058746 %N A012422 arcsin(arctan(x)*sin(x))=2/2!*x^2-12/4!*x^4+310/6!*x^6-17304/8!*x^8... %R A012422 %O A012422 0,1 %K A012422 sign,done %A A012422 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012423 %S A012423 2,12,50,12936,643142,60323780,22895524678,2421315237488, %T A012423 864760878344718,527455288321939204,55917569000158790850, %U A012423 108932420480580224669416,83957330220575698201816746 %V A012423 2,-12,-50,12936,-643142,-60323780,22895524678,-2421315237488, %W A012423 -864760878344718,527455288321939204,-55917569000158790850, %X A012423 -108932420480580224669416,83957330220575698201816746 %N A012423 arctan(atan(x)*sin(x))=2/2!*x^2-12/4!*x^4-50/6!*x^6+12936/8!*x^8... %R A012423 %O A012423 0,1 %K A012423 sign,done %A A012423 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012424 %S A012424 1,0,12,360,14000,826560,74707776,9918004096,1826276458240, %T A012424 443565659817984,136830226103770112,52123659256392435712, %U A012424 23992831220659002945536,13113491065080505366691840 %V A012424 1,0,-12,360,-14000,826560,-74707776,9918004096,-1826276458240, %W A012424 443565659817984,-136830226103770112,52123659256392435712, %X A012424 -23992831220659002945536,13113491065080505366691840 %N A012424 cos(arctan(x)*sin(x))=1-12/4!*x^4+360/6!*x^6-14000/8!*x^8... %R A012424 %O A012424 0,3 %K A012424 sign,done %A A012424 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012425 %S A012425 2,12,310,17304,1458538,179076260,30579769246,6937516847408, %T A012425 2018483632983762,732877524097108796,324856264038732166662, %U A012425 172652168729948174280904,108374992202504938057945146 %V A012425 2,-12,310,-17304,1458538,-179076260,30579769246,-6937516847408, %W A012425 2018483632983762,-732877524097108796,324856264038732166662, %X A012425 -172652168729948174280904,108374992202504938057945146 %N A012425 sinh(arctan(x)*sin(x))=2/2!*x^2-12/4!*x^4+310/6!*x^6-17304/8!*x^8... %R A012425 %O A012425 0,1 %K A012425 sign,done %A A012425 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012426 %S A012426 2,12,70,2856,164342,26727140,9513652174,1509132606128, %T A012426 24850989613038,96289752279508804,8229825010792301226, %U A012426 30295913573130207257992,26332910393982197524318746 %V A012426 2,-12,70,2856,-164342,-26727140,9513652174,-1509132606128, %W A012426 -24850989613038,96289752279508804,-8229825010792301226, %X A012426 -30295913573130207257992,26332910393982197524318746 %N A012426 arcsinh(arctan(x)*sin(x))=2/2!*x^2-12/4!*x^4+70/6!*x^6+2856/8!*x^8... %R A012426 %O A012426 0,1 %K A012426 sign,done %A A012426 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012427 %S A012427 2,12,50,12936,885062,19509820,8446530118,2256645131888, %T A012427 271169972750322,52894208663673604,48060787092036123330, %U A012427 16320006114052519358744,62047368403218100000854 %V A012427 2,-12,-50,12936,-885062,19509820,8446530118,-2256645131888, %W A012427 271169972750322,52894208663673604,-48060787092036123330, %X A012427 16320006114052519358744,-62047368403218100000854 %N A012427 tanh(arctan(x)*sin(x))=2/2!*x^2-12/4!*x^4-50/6!*x^6+12936/8!*x^8... %R A012427 %O A012427 0,1 %K A012427 sign,done %A A012427 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012428 %S A012428 2,12,430,27384,3086458,524689220,126513823462,40981407368048, %T A012428 17181884789561202,9052122654113318396,5854705311144202022046, %U A012428 4561027328402726456335720,4212695076131749316430016746 %V A012428 2,-12,430,-27384,3086458,-524689220,126513823462,-40981407368048, %W A012428 17181884789561202,-9052122654113318396,5854705311144202022046, %X A012428 -4561027328402726456335720,4212695076131749316430016746 %N A012428 arctanh(atan(x)*sin(x))=2/2!*x^2-12/4!*x^4+430/6!*x^6-27384/8!*x^8... %R A012428 %O A012428 0,1 %K A012428 sign,done %A A012428 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012429 %S A012429 1,0,12,360,17360,1431360,176717376,30259605376,6872523424000, %T A012429 2001253898164224,727157103049997312,322526390192253356032, %U A012429 171508583202445765136384,107708920891668309118730240 %V A012429 1,0,12,-360,17360,-1431360,176717376,-30259605376,6872523424000, %W A012429 -2001253898164224,727157103049997312,-322526390192253356032, %X A012429 171508583202445765136384,-107708920891668309118730240 %N A012429 cosh(arctan(x)*sin(x))=1+12/4!*x^4-360/6!*x^6+17360/8!*x^8... %R A012429 %O A012429 0,3 %K A012429 sign,done %A A012429 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012430 %S A012430 1,0,12,360,24080,2640960,420653376,92737380736,26980142475520, %T A012430 10012413760149504,4615824952212134912,2587662789242232604672, %U A012430 1733488941554235507937280,1367558750121199449308119040 %V A012430 1,0,12,-360,24080,-2640960,420653376,-92737380736,26980142475520, %W A012430 -10012413760149504,4615824952212134912,-2587662789242232604672, %X A012430 1733488941554235507937280,-1367558750121199449308119040 %N A012430 sec(arctan(x)*sin(x))=1+12/4!*x^4-360/6!*x^6+24080/8!*x^8... %R A012430 %O A012430 0,3 %K A012430 sign,done %A A012430 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012431 %S A012431 1,0,12,360,7280,383040,89394624,8970625664,316692862720, %T A012431 470941672802304,146844936720038912,18279034160407939072, %U A012431 9932590980055055503360,8395139128320596309032960 %V A012431 1,0,-12,360,-7280,-383040,89394624,-8970625664,-316692862720, %W A012431 470941672802304,-146844936720038912,18279034160407939072, %X A012431 9932590980055055503360,-8395139128320596309032960 %N A012431 sech(arctan(x)*sin(x))=1-12/4!*x^4+360/6!*x^6-7280/8!*x^8... %R A012431 %O A012431 0,3 %K A012431 sign,done %A A012431 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012432 %S A012432 1,2,8,158,4104,346602,24240372,4851149886,651838359408, %T A012432 239431266389586,52363260776961132,30711336758113317990, %U A012432 9908919510460647921960,8503014202216759714206330 %N A012432 exp(arctan(x)*arcsin(x))=1+2/2!*x^2+8/4!*x^4+158/6!*x^6+4104/8!*x^8... %R A012432 %O A012432 0,2 %K A012432 nonn %A A012432 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012433 %S A012433 2,4,38,264,9162,6423540,875983890,380802735600,91040517107310, %T A012433 46795149700613100,17544576509662829130,11815590123153714787560, %U A012433 6408554682643734028619430,5614434324236056272171194340 %V A012433 2,-4,38,-264,9162,6423540,-875983890,380802735600,-91040517107310, %W A012433 46795149700613100,-17544576509662829130,11815590123153714787560, %X A012433 -6408554682643734028619430,5614434324236056272171194340 %N A012433 sin(arctan(x)*arcsin(x))=2/2!*x^2-4/4!*x^4+38/6!*x^6-264/8!*x^8... %R A012433 %O A012433 0,1 %K A012433 sign,done %A A012433 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012434 %S A012434 2,4,278,6984,1148202,99018060,28635818430,5588393370000, %T A012434 2487224151815250,886910985311966100,563430775878809461350, %U A012434 321709990033199535312600,277763298278504193429092730 %V A012434 2,-4,278,-6984,1148202,-99018060,28635818430,-5588393370000, %W A012434 2487224151815250,-886910985311966100,563430775878809461350, %X A012434 -321709990033199535312600,277763298278504193429092730 %N A012434 arcsin(arctan(x)*arcsin(x))=2/2!*x^2-4/4!*x^4+278/6!*x^6-6984/8!*x^8... %R A012434 %O A012434 0,1 %K A012434 sign,done %A A012434 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012435 %S A012435 2,4,82,3096,256122,30668460,856747110,523284711600,39637940511090, %T A012435 50848285138290900,19464791037179683230,1825136551296140381640, %U A012435 99500526939660052179690,1613956014788908960338116220 %V A012435 2,-4,-82,3096,256122,-30668460,856747110,523284711600, %W A012435 39637940511090,-50848285138290900,19464791037179683230, %X A012435 1825136551296140381640,99500526939660052179690 %N A012435 arctan(atan(x)*arcsin(x))=2/2!*x^2-4/4!*x^4-82/6!*x^6+3096/8!*x^8... %R A012435 %O A012435 0,1 %K A012435 sign,done %A A012435 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012436 %S A012436 1,0,12,120,7728,358080,54956352,5983845504,1674895273728, %T A012436 331567748941824,147083657045302272,46138766175213803520, %U A012436 29742693904194176593920,13565163573403491059712000 %V A012436 1,0,-12,120,-7728,358080,-54956352,5983845504,-1674895273728, %W A012436 331567748941824,-147083657045302272,46138766175213803520, %X A012436 -29742693904194176593920,13565163573403491059712000 %N A012436 cos(arctan(x)*arcsin(x))=1-12/4!*x^4+120/6!*x^6-7728/8!*x^8... %R A012436 %O A012436 0,3 %K A012436 sign,done %A A012436 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012437 %S A012437 2,4,278,6984,906282,72406860,16769884350,2791769139600, %T A012437 1025112403117650,291983305370462100,156358879820283153510, %U A012437 68012449387139352098520,50073830528033335130526330 %V A012437 2,-4,278,-6984,906282,-72406860,16769884350,-2791769139600, %W A012437 1025112403117650,-291983305370462100,156358879820283153510, %X A012437 -68012449387139352098520,50073830528033335130526330 %N A012437 sinh(arctan(x)*arcsin(x))=2/2!*x^2-4/4!*x^4+278/6!*x^6-6984/8!*x^8... %R A012437 %O A012437 0,1 %K A012437 sign,done %A A012437 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012438 %S A012438 2,4,38,264,251082,20187660,3240768750,246050691600,164895642091410, %T A012438 44832184763361300,26301902902677945270,6982668079815620764440, %U A012438 6485203397909159496161370,3291719033609249349318636060 %V A012438 2,-4,38,-264,251082,-20187660,3240768750,-246050691600, %W A012438 164895642091410,-44832184763361300,26301902902677945270, %X A012438 -6982668079815620764440,6485203397909159496161370 %N A012438 arcsinh(arctan(x)*arcsin(x))=2/2!*x^2-4/4!*x^4+38/6!*x^6-264/8!*x^8... %R A012438 %O A012438 0,1 %K A012438 sign,done %A A012438 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012439 %S A012439 2,4,82,3096,14202,4057260,614585190,65252737200,9930277245810, %T A012439 3938676912038700,2327811184268315550,661470912900859782600, %U A012439 625005810716811201651690,275157523021831158684027780 %V A012439 2,-4,-82,3096,14202,-4057260,614585190,65252737200,9930277245810, %W A012439 3938676912038700,2327811184268315550,661470912900859782600, %X A012439 625005810716811201651690,275157523021831158684027780 %N A012439 tanh(arctan(x)*arcsin(x))=2/2!*x^2-4/4!*x^4-82/6!*x^6+3096/8!*x^8... %R A012439 %O A012439 0,1 %K A012439 sign,done %A A012439 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012440 %S A012440 2,4,398,10344,2050362,188329260,60987377670,12776749381200, %T A012440 6138167322301170,2341662552659308500,1574696831249089102590, %U A012440 954442874464228447345080,862598218425468174866650410 %V A012440 2,-4,398,-10344,2050362,-188329260,60987377670,-12776749381200, %W A012440 6138167322301170,-2341662552659308500,1574696831249089102590, %X A012440 -954442874464228447345080,862598218425468174866650410 %N A012440 arctanh(atan(x)*arcsin(x))=2/2!*x^2-4/4!*x^4+398/6!*x^6-10344/8!*x^8... %R A012440 %O A012440 0,1 %K A012440 sign,done %A A012440 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012441 %S A012441 1,0,12,120,11088,559680,96647232,11918734464,3443607499008, %T A012441 785681136728064,344346566147423232,125647543062169835520, %U A012441 77921368897600000020480,41570816325816575416320000 %V A012441 1,0,12,-120,11088,-559680,96647232,-11918734464,3443607499008, %W A012441 -785681136728064,344346566147423232,-125647543062169835520, %X A012441 77921368897600000020480,-41570816325816575416320000 %N A012441 cosh(arctan(x)*arcsin(x))=1+12/4!*x^4-120/6!*x^6+11088/8!*x^8... %R A012441 %O A012441 0,3 %K A012441 sign,done %A A012441 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012442 %S A012442 1,0,12,120,17808,962880,219945792,31053369984,10719320103168, %T A012442 2908608708409344,1441051026777725952,637493975166202091520, %U A012442 433239709928964325478400,282573293205848764594176000 %V A012442 1,0,12,-120,17808,-962880,219945792,-31053369984,10719320103168, %W A012442 -2908608708409344,1441051026777725952,-637493975166202091520, %X A012442 433239709928964325478400,-282573293205848764594176000 %N A012442 sec(arctan(x)*arcsin(x))=1+12/4!*x^4-120/6!*x^6+17808/8!*x^8... %R A012442 %O A012442 0,3 %K A012442 sign,done %A A012442 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012443 %S A012443 1,0,12,120,1008,45120,11491392,1378925184,443544192768, %T A012443 53698137606144,32840379055537152,7093049054642411520, %U A012443 6636093887068155801600,2065820944848385959936000 %V A012443 1,0,-12,120,-1008,-45120,-11491392,1378925184,-443544192768, %W A012443 53698137606144,-32840379055537152,7093049054642411520, %X A012443 -6636093887068155801600,2065820944848385959936000 %N A012443 sech(arctan(x)*arcsin(x))=1-12/4!*x^4+120/6!*x^6-1008/8!*x^8... %R A012443 %O A012443 0,3 %K A012443 sign,done %A A012443 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012444 %S A012444 1,2,12,280,7952,532768,30306496,4657640832,327222722816, %T A012444 131738463674880,2341955285781504,10584761954697844736, %U A012444 1750594656814587244544,2213182839332047713673216 %V A012444 1,2,12,280,7952,532768,30306496,4657640832,327222722816, %W A012444 131738463674880,2341955285781504,10584761954697844736, %X A012444 -1750594656814587244544,2213182839332047713673216 %N A012444 exp(arctan(x)*tan(x))=1+2/2!*x^2+12/4!*x^4+280/6!*x^6+7952/8!*x^8... %R A012444 %O A012444 0,2 %K A012444 sign,done %A A012444 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012445 %S A012445 2,0,40,2688,31712,13038080,341144960,124075126784,16972742475264, %T A012445 4013224846508032,4370688326014457856,2734360152236817809408, %U A012445 2075517087570212545880064,1712256529842324555250663424 %V A012445 2,0,40,-2688,-31712,-13038080,-341144960,-124075126784, %W A012445 -16972742475264,4013224846508032,-4370688326014457856, %X A012445 2734360152236817809408,-2075517087570212545880064 %N A012445 sin(arctan(x)*tan(x))=2/2!*x^2+40/6!*x^6-2688/8!*x^8-31712/10!*x^10... %R A012445 %O A012445 0,1 %K A012445 sign,done %A A012445 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012446 %S A012446 2,0,280,2688,1016608,44971520,22528934272,2475890192384, %T A012446 1731096311210496,365422134993502208,343466758613102303232, %U A012446 121096429560806448922624,146997236520941470929985536 %V A012446 2,0,280,-2688,1016608,-44971520,22528934272,-2475890192384, %W A012446 1731096311210496,-365422134993502208,343466758613102303232, %X A012446 -121096429560806448922624,146997236520941470929985536 %N A012446 arcsin(arctan(x)*tan(x))=2/2!*x^2+280/6!*x^6-2688/8!*x^8+1016608/10!*x^10... %R A012446 %O A012446 0,1 %K A012446 sign,done %A A012446 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012447 %S A012447 2,0,80,2688,260608,2928640,463763456,517376835584,108823739498496, %T A012447 2683131538178048,5868236283429519360,6862655376791380688896, %U A012447 2738386568702639562817536,1008330973302015603691749376 %V A012447 2,0,-80,-2688,260608,2928640,-463763456,-517376835584, %W A012447 108823739498496,-2683131538178048,5868236283429519360, %X A012447 -6862655376791380688896,2738386568702639562817536 %N A012447 arctan(atan(x)*tan(x))=2/2!*x^2-80/6!*x^6-2688/8!*x^8+260608/10!*x^10... %R A012447 %O A012447 0,1 %K A012447 sign,done %A A012447 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012448 %S A012448 1,0,12,0,7280,241920,39796416,5601756160,1164660739840, %T A012448 326680627961856,107144725837171712,45897715016709799936, %U A012448 22689657885234118356992,13649678748377009638277120 %V A012448 1,0,-12,0,-7280,241920,-39796416,5601756160,-1164660739840, %W A012448 326680627961856,-107144725837171712,45897715016709799936, %X A012448 -22689657885234118356992,13649678748377009638277120 %N A012448 cos(arctan(x)*tan(x))=1-12/4!*x^4-7280/8!*x^8+241920/10!*x^10... %R A012448 %O A012448 0,3 %K A012448 sign,done %A A012448 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012449 %S A012449 2,0,280,2688,774688,44971520,12196692352,2010939305984, %T A012449 682495898190336,217798427799339008,100459217814408271872, %U A012449 50559840345962764140544,31791509418375951964839936 %V A012449 2,0,280,-2688,774688,-44971520,12196692352,-2010939305984, %W A012449 682495898190336,-217798427799339008,100459217814408271872, %X A012449 -50559840345962764140544,31791509418375951964839936 %N A012449 sinh(arctan(x)*tan(x))=2/2!*x^2+280/6!*x^6-2688/8!*x^8+774688/10!*x^10... %R A012449 %O A012449 0,1 %K A012449 sign,done %A A012449 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012450 %S A012450 2,0,40,2688,210208,13038080,2241915520,589026013184,146361182839296, %T A012450 42690102749216768,18963982821764573184,10109322351828827471872, %U A012450 5702647873782168851521536,3829424268609886768251928576 %V A012450 2,0,40,-2688,210208,-13038080,2241915520,-589026013184, %W A012450 146361182839296,-42690102749216768,18963982821764573184, %X A012450 -10109322351828827471872,5702647873782168851521536 %N A012450 arcsinh(arctan(x)*tan(x))=2/2!*x^2+40/6!*x^6-2688/8!*x^8+210208/10!*x^10... %R A012450 %O A012450 0,1 %K A012450 sign,done %A A012450 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012451 %S A012451 2,0,80,2688,18688,2928640,827766784,52425949184,11263759220736, %T A012451 6439993741672448,1974174235078164480,952764420869394006016, %U A012451 577855093673994995367936,371995357739088472730238976 %V A012451 2,0,-80,-2688,18688,2928640,827766784,-52425949184,11263759220736, %W A012451 -6439993741672448,1974174235078164480,-952764420869394006016, %X A012451 577855093673994995367936,-371995357739088472730238976 %N A012451 tanh(arctan(x)*tan(x))=2/2!*x^2-80/6!*x^6-2688/8!*x^8+18688/10!*x^10... %R A012451 %O A012451 0,1 %K A012451 sign,done %A A012451 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012452 %S A012452 2,0,400,2688,1873408,60938240,49450805248,4291105193984, %T A012452 4345356280528896,769792296435580928,962815994229666349056, %U A012452 298377426990773724774400,452668537171760533299265536 %V A012452 2,0,400,-2688,1873408,-60938240,49450805248,-4291105193984, %W A012452 4345356280528896,-769792296435580928,962815994229666349056, %X A012452 -298377426990773724774400,452668537171760533299265536 %N A012452 arctanh(atan(x)*tan(x))=2/2!*x^2+400/6!*x^6-2688/8!*x^8... %R A012452 %O A012452 0,1 %K A012452 sign,done %A A012452 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012453 %S A012453 1,0,12,0,10640,241920,75278016,7539051520,2338162028800, %T A012453 550757434515456,220140383085120512,89874455859710427136, %U A012453 48809245689148176896000,29578326579043904251166720 %V A012453 1,0,12,0,10640,-241920,75278016,-7539051520,2338162028800, %W A012453 -550757434515456,220140383085120512,-89874455859710427136, %X A012453 48809245689148176896000,-29578326579043904251166720 %N A012453 cosh(arctan(x)*tan(x))=1+12/4!*x^4+10640/8!*x^8-241920/10!*x^10... %R A012453 %O A012453 0,3 %K A012453 sign,done %A A012453 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012454 %S A012454 1,0,12,0,17360,241920,186158016,11413642240,7726026430720, %T A012454 1212323504480256,892608906281741312,274005660019568705536, %U A012454 234514059257417538031616,119571044071522301122641920 %V A012454 1,0,12,0,17360,-241920,186158016,-11413642240,7726026430720, %W A012454 -1212323504480256,892608906281741312,-274005660019568705536, %X A012454 234514059257417538031616,-119571044071522301122641920 %N A012454 sec(arctan(x)*tan(x))=1+12/4!*x^4+17360/8!*x^8-241920/10!*x^10... %R A012454 %O A012454 0,3 %K A012454 sign,done %A A012454 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012455 %S A012455 1,0,12,0,560,241920,8750016,1727165440,426305201920,91939471712256, %T A012455 31563179893517312,13087008599986241536,6237304648085400498176, %U A012455 3651782585501269235793920,2495638655473066564049289216 %V A012455 1,0,-12,0,-560,241920,-8750016,1727165440,-426305201920, %W A012455 91939471712256,-31563179893517312,13087008599986241536, %X A012455 -6237304648085400498176,3651782585501269235793920 %N A012455 sech(arctan(x)*tan(x))=1-12/4!*x^4-560/8!*x^8+241920/10!*x^10... %R A012455 %O A012455 0,3 %K A012455 sign,done %A A012455 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012456 %S A012456 1,2,4,8,912,99168,11815872,1790856576,347783278848,85244795874816, %T A012456 25888104843574272,9570587679263078400,4239434238319441121280, %U A012456 2218976274384029204766720,1355675517671275197589340160 %V A012456 1,2,-4,8,912,-99168,11815872,-1790856576,347783278848, %W A012456 -85244795874816,25888104843574272,-9570587679263078400, %X A012456 4239434238319441121280,-2218976274384029204766720 %N A012456 exp(arctan(x)*atan(x))=1+2/2!*x^2-4/4!*x^4+8/6!*x^6+912/8!*x^8... %R A012456 %O A012456 0,2 %K A012456 sign,done %A A012456 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012457 %S A012457 2,16,248,3456,406368,123982080,31807263360,9173875200000, %T A012457 3114459024453120,1251070155460915200,591321674803999426560, %U A012457 326012628782956574638080,207713640106463567695994880 %V A012457 2,-16,248,-3456,-406368,123982080,-31807263360,9173875200000, %W A012457 -3114459024453120,1251070155460915200,-591321674803999426560, %X A012457 326012628782956574638080,-207713640106463567695994880 %N A012457 sin(arctan(x)*atan(x))=2/2!*x^2-16/4!*x^4+248/6!*x^6-3456/8!*x^8... %R A012457 %O A012457 0,1 %K A012457 sign,done %A A012457 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012458 %S A012458 2,16,488,30336,3303072,556926720,135234491520,44790227865600, %T A012458 19434264780034560,10703464305128755200,7296385856008015226880, %U A012458 6031102564833737842851840,5942962739028147945628999680 %V A012458 2,-16,488,-30336,3303072,-556926720,135234491520,-44790227865600, %W A012458 19434264780034560,-10703464305128755200,7296385856008015226880, %X A012458 -6031102564833737842851840,5942962739028147945628999680 %N A012458 arcsin(arctan(x)*atan(x))=2/2!*x^2-16/4!*x^4+488/6!*x^6-30336/8!*x^8... %R A012458 %O A012458 0,1 %K A012458 sign,done %A A012458 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012459 %S A012459 2,16,128,9984,1444608,105185280,11495516160,7997802086400, %T A012459 2106956324536320,3592879276032000,400446184903952302080, %U A012459 271017181684548910448640,56861458491339484126248960 %V A012459 2,-16,128,9984,-1444608,105185280,11495516160,-7997802086400, %W A012459 2106956324536320,3592879276032000,-400446184903952302080, %X A012459 271017181684548910448640,-56861458491339484126248960 %N A012459 arctan(atan(x)*atan(x))=2/2!*x^2-16/4!*x^4+128/6!*x^6+9984/8!*x^8... %R A012459 %O A012459 0,1 %K A012459 sign,done %A A012459 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012460 %S A012460 1,0,12,480,27888,2353920,274245312,41974872576,8068087373568, %T A012460 1860842339721216,486190504963034112,129225947748233994240, %U A012460 22917287813817561968640,13673939410058068058112000 %V A012460 1,0,-12,480,-27888,2353920,-274245312,41974872576,-8068087373568, %W A012460 1860842339721216,-486190504963034112,129225947748233994240, %X A012460 -22917287813817561968640,-13673939410058068058112000 %N A012460 cos(arctan(x)*atan(x))=1-12/4!*x^4+480/6!*x^6-27888/8!*x^8... %R A012460 %O A012460 0,3 %K A012460 sign,done %A A012460 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012461 %S A012461 2,16,488,30336,3061152,450481920,90676698240,23889578496000, %T A012461 7972943138664960,3286129765438771200,1638857583672607549440, %U A012461 972524875970827007262720,677113960144029088030433280 %V A012461 2,-16,488,-30336,3061152,-450481920,90676698240,-23889578496000, %W A012461 7972943138664960,-3286129765438771200,1638857583672607549440, %X A012461 -972524875970827007262720,677113960144029088030433280 %N A012461 sinh(arctan(x)*atan(x))=2/2!*x^2-16/4!*x^4+488/6!*x^6-30336/8!*x^8... %R A012461 %O A012461 0,1 %K A012461 sign,done %A A012461 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012462 %S A012462 2,16,248,3456,164448,17537280,5001348480,3047690956800, %T A012462 999150768960000,194340969261158400,28292890791044597760, %U A012462 48811395838790000148480,15658656394130132870062080 %V A012462 2,-16,248,-3456,-164448,17537280,5001348480,-3047690956800, %W A012462 999150768960000,-194340969261158400,-28292890791044597760, %X A012462 48811395838790000148480,-15658656394130132870062080 %N A012462 arcsinh(arctan(x)*atan(x))=2/2!*x^2-16/4!*x^4+248/6!*x^6-3456/8!*x^8... %R A012462 %O A012462 0,1 %K A012462 sign,done %A A012462 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012463 %S A012463 2,16,128,9984,1686528,211630080,21438504960,115777536000, %T A012463 1290343156285440,677718502185369600,262776565415742013440, %U A012463 69499554745499013611520,9137401716948937432104960 %V A012463 2,-16,128,9984,-1686528,211630080,-21438504960,-115777536000, %W A012463 1290343156285440,-677718502185369600,262776565415742013440, %X A012463 -69499554745499013611520,-9137401716948937432104960 %N A012463 tanh(arctan(x)*atan(x))=2/2!*x^2-16/4!*x^4+128/6!*x^6+9984/8!*x^8... %R A012463 %O A012463 0,1 %K A012463 sign,done %A A012463 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012464 %S A012464 2,16,608,43776,5490432,1043742720,281302333440,101944270848000, %T A012464 47833801306275840,28212954337286553600,20432760600063600230400, %U A012464 17826780360146975037849600,18441699370235590444905922560 %V A012464 2,-16,608,-43776,5490432,-1043742720,281302333440,-101944270848000, %W A012464 47833801306275840,-28212954337286553600,20432760600063600230400, %X A012464 -17826780360146975037849600,18441699370235590444905922560 %N A012464 arctanh(atan(x)*atan(x))=2/2!*x^2-16/4!*x^4+608/6!*x^6-43776/8!*x^8... %R A012464 %O A012464 0,1 %K A012464 sign,done %A A012464 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012465 %S A012465 1,0,12,480,31248,3160320,462297792,92467554816,24237361774848, %T A012465 8058187934539776,3312017870282345472,1648428171351870627840, %U A012465 976764310209146448384000,679332936418413117235200000 %V A012465 1,0,12,-480,31248,-3160320,462297792,-92467554816,24237361774848, %W A012465 -8058187934539776,3312017870282345472,-1648428171351870627840, %X A012465 976764310209146448384000,-679332936418413117235200000 %N A012465 cosh(arctan(x)*atan(x))=1+12/4!*x^4-480/6!*x^6+31248/8!*x^8... %R A012465 %O A012465 0,3 %K A012465 sign,done %A A012465 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012466 %S A012466 1,0,12,480,37968,4773120,878319552,222512349696,74262725323008, %T A012466 31578556041732096,16666719859336276992,10690478515516973015040, %U A012466 8190555666463900906475520,7387658525325188387856384000 %V A012466 1,0,12,-480,37968,-4773120,878319552,-222512349696,74262725323008, %W A012466 -31578556041732096,16666719859336276992,-10690478515516973015040, %X A012466 8190555666463900906475520,-7387658525325188387856384000 %N A012466 sec(arctan(x)*atan(x))=1+12/4!*x^4-480/6!*x^6+37968/8!*x^8... %R A012466 %O A012466 0,3 %K A012466 sign,done %A A012466 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012467 %S A012467 1,0,12,480,21168,741120,61942848,29951061504,8015861467392, %T A012467 1745546459848704,215844160641143808,91751419512905687040, %U A012467 109687232118939992862720,71900040403600384794624000 %V A012467 1,0,-12,480,-21168,741120,61942848,-29951061504,8015861467392, %W A012467 -1745546459848704,215844160641143808,91751419512905687040, %X A012467 -109687232118939992862720,71900040403600384794624000 %N A012467 sech(arctan(x)*atan(x))=1-12/4!*x^4+480/6!*x^6-21168/8!*x^8... %R A012467 %O A012467 0,3 %K A012467 sign,done %A A012467 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012468 %S A012468 1,1,0,6,23,135,1288,10164,106661,1257165,15497152,222045450, %T A012468 3414340811,56743257571,1031328757912,19972120728840,414440475923689, %U A012468 9175579196399001,215060308589382272,5337733710251670830 %V A012468 1,-1,0,-6,23,-135,1288,-10164,106661,-1257165,15497152,-222045450, %W A012468 3414340811,-56743257571,1031328757912,-19972120728840, %X A012468 414440475923689,-9175579196399001,215060308589382272 %N A012468 arcsin(cos(x)*log(x+1))=x-1/2!*x^2-6/4!*x^4+23/5!*x^5-135/6!*x^6... %R A012468 %O A012468 0,4 %K A012468 sign,done %A A012468 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012469 %S A012469 1,1,3,12,23,495,931,27552,214699,1991565,44340769,25066668, %T A012469 9372982933,70732779845,2089607037415,43990273165920,339320074587383, %U A012469 22626180254319399,95718973807370395,11134834270108840340 %V A012469 1,-1,-3,12,23,-495,931,27552,-214699,-1991565,44340769,25066668, %W A012469 -9372982933,70732779845,2089607037415,-43990273165920, %X A012469 -339320074587383,22626180254319399,-95718973807370395 %N A012469 arctan(cos(x)*log(x+1))=x-1/2!*x^2-3/3!*x^3+12/4!*x^4+23/5!*x^5... %R A012469 %O A012469 0,3 %K A012469 sign,done %A A012469 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012470 %S A012470 1,1,2,6,13,225,530,8540,65579,650565,13899070,8281878,2388363655, %T A012470 18379145603,516826612354,11083263907560,64702488848279, %U A012470 5027641615912599,24199820388513346,2344855172208229970 %V A012470 1,-1,-2,6,13,-225,530,8540,-65579,-650565,13899070,-8281878, %W A012470 -2388363655,18379145603,516826612354,-11083263907560, %X A012470 -64702488848279,5027641615912599,-24199820388513346 %N A012470 arcsinh(cos(x)*log(x+1))=x-1/2!*x^2-2/3!*x^3+6/4!*x^4+13/5!*x^5... %R A012470 %O A012470 0,3 %K A012470 sign,done %A A012470 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012471 %S A012471 1,1,1,12,43,315,2987,24976,288541,3544965,46607053,707823996, %T A012471 11389328039,199011366463,3776136616951,76078523849280, %U A012471 1640713749767833,37603782922082121,910746316680339641 %V A012471 1,-1,1,-12,43,-315,2987,-24976,288541,-3544965,46607053,-707823996, %W A012471 11389328039,-199011366463,3776136616951,-76078523849280, %X A012471 1640713749767833,-37603782922082121,910746316680339641 %N A012471 arctanh(cos(x)*log(x+1))=x-1/2!*x^2+1/3!*x^3-12/4!*x^4+43/5!*x^5... %R A012471 %O A012471 0,4 %K A012471 sign,done %A A012471 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012472 %S A012472 1,0,1,3,4,40,250,1260,14012,133992,1310660,16809980,215083592, %T A012472 2938291200,45330896832,728363224680,12475447944528,230003712851648, %U A012472 4451144492528080,91010462837366448,1965647773971310720 %V A012472 1,0,1,-3,4,-40,250,-1260,14012,-133992,1310660,-16809980,215083592, %W A012472 -2938291200,45330896832,-728363224680,12475447944528, %X A012472 -230003712851648,4451144492528080,-91010462837366448 %N A012472 sec(cos(x)*log(x+1))=1+1/2!*x^2-3/3!*x^3+4/4!*x^4-40/5!*x^5... %R A012472 %O A012472 0,4 %K A012472 sign,done %A A012472 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012473 %S A012473 1,0,1,3,6,60,0,2310,10752,84168,1152240,2453880,154467192,797768400, %T A012473 16907851688,250017997320,1746679208128,77446551835648, %U A012473 318565680255360,18241668233387712,262053618149070080 %V A012473 1,0,-1,3,6,-60,0,2310,-10752,-84168,1152240,2453880,-154467192, %W A012473 797768400,16907851688,-250017997320,-1746679208128,77446551835648, %X A012473 -318565680255360,-18241668233387712,262053618149070080 %N A012473 sech(cos(x)*log(x+1))=1-1/2!*x^2+3/3!*x^3+6/4!*x^4-60/5!*x^5... %R A012473 %O A012473 0,4 %K A012473 sign,done %A A012473 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012474 %S A012474 1,3,15,357,22305,582483,217683375,2001865323,7258418490945, %T A012474 826442897487837,580853295560646735,204631967729205027003, %U A012474 85920364932388858911585,79053144190920049745846157 %V A012474 1,-3,-15,357,22305,-582483,-217683375,-2001865323,7258418490945, %W A012474 826442897487837,-580853295560646735,-204631967729205027003, %X A012474 85920364932388858911585,79053144190920049745846157 %N A012474 arcsin(cos(x)*sin(x))=x-3/3!*x^3-15/5!*x^5+357/7!*x^7+22305/9!*x^9... %R A012474 %O A012474 0,2 %K A012474 sign,done %A A012474 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012475 %S A012475 1,6,120,7056,758400,130918656,33173038080,11587651270656, %T A012475 5337660866396160,3134856182239789056,2286367634020679024640, %U A012475 2027369655249396662009856,2147914157998443571728875520 %V A012475 1,-6,120,-7056,758400,-130918656,33173038080,-11587651270656, %W A012475 5337660866396160,-3134856182239789056,2286367634020679024640, %X A012475 -2027369655249396662009856,2147914157998443571728875520 %N A012475 arctan(cos(x)*sin(x))=x-6/3!*x^3+120/5!*x^5-7056/7!*x^7+758400/9!*x^9... %R A012475 %O A012475 0,2 %K A012475 sign,done %A A012475 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012476 %S A012476 1,5,65,3005,278465,42738005,9852460865,3178878885005, %T A012476 1367383455547265,756164182327284005,522662665715777337665, %U A012476 441523138107985704375005,447556468280585958726432065 %V A012476 1,-5,65,-3005,278465,-42738005,9852460865,-3178878885005, %W A012476 1367383455547265,-756164182327284005,522662665715777337665, %X A012476 -441523138107985704375005,447556468280585958726432065 %N A012476 arcsinh(cos(x)*sin(x))=x-5/3!*x^3+65/5!*x^5-3005/7!*x^7+278465/9!*x^9... %R A012476 %O A012476 0,2 %K A012476 sign,done %A A012476 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012477 %S A012477 1,2,40,208,64640,986368,652487680,60911593472,20973645824000, %T A012477 6185783347314688,1429441147870904320,1203534317202507825152, %U A012477 109702530161745707663360,415034067689086640359211008 %V A012477 1,-2,-40,208,64640,986368,-652487680,-60911593472,20973645824000, %W A012477 6185783347314688,-1429441147870904320,-1203534317202507825152, %X A012477 109702530161745707663360,415034067689086640359211008 %N A012477 arctanh(cos(x)*sin(x))=x-2/3!*x^3-40/5!*x^5+208/7!*x^7+64640/9!*x^9... %R A012477 %O A012477 0,2 %K A012477 sign,done %A A012477 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012478 %S A012478 1,1,11,83,10505,6009,60553539,2140355557,1174906248337, %T A012478 146823377897103,55094515820657147,17482899642565858461, %U A012478 4900898798285366105753,3664217968514770645784087 %V A012478 1,1,-11,-83,10505,6009,-60553539,2140355557,1174906248337, %W A012478 -146823377897103,-55094515820657147,17482899642565858461, %X A012478 4900898798285366105753,-3664217968514770645784087 %N A012478 sec(cos(x)*sin(x))=1+1/2!*x^2-11/4!*x^4-83/6!*x^6+10505/8!*x^8... %R A012478 %O A012478 0,3 %K A012478 sign,done %A A012478 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012479 %S A012479 1,1,21,717,46025,4817209,734055069,154121194437,42674286160913, %T A012479 15062120873888497,6601538801733818277,3517682024725193957181, %U A012479 2239550167783452398617817,1678950113256157460626211113 %V A012479 1,-1,21,-717,46025,-4817209,734055069,-154121194437,42674286160913, %W A012479 -15062120873888497,6601538801733818277,-3517682024725193957181, %X A012479 2239550167783452398617817,-1678950113256157460626211113 %N A012479 sech(cos(x)*sin(x))=1-1/2!*x^2+21/4!*x^4-717/6!*x^6+46025/8!*x^8... %R A012479 %O A012479 0,3 %K A012479 sign,done %A A012479 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012480 %S A012480 1,1,1,1,7,15,25,359,1297,3713,785,347151,3237577,62839153,476552297, %T A012480 10196506423,93536269473,2397571040897,25410713978785, %U A012480 714196911010335,8498142387238425,263318643848985457 %V A012480 1,1,1,-1,-7,-15,25,359,1297,3713,785,347151,3237577,62839153, %W A012480 476552297,10196506423,93536269473,2397571040897,25410713978785, %X A012480 714196911010335,8498142387238425,263318643848985457 %N A012480 exp(cos(x)*arcsin(x))=1+x+1/2!*x^2-1/3!*x^3-7/4!*x^4-15/5!*x^5... %R A012480 %O A012480 0,5 %K A012480 sign,done %A A012480 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012481 %S A012481 1,3,25,371,11985,13981,45127017,5553908333,1415759895841, %T A012481 404022487469117,148035510590478137,65626203271548278349, %U A012481 34895786732343693436145,21890894044531231133450973 %V A012481 1,-3,25,-371,11985,13981,45127017,5553908333,1415759895841, %W A012481 404022487469117,148035510590478137,65626203271548278349, %X A012481 34895786732343693436145,21890894044531231133450973 %N A012481 sin(cos(x)*arcsin(x))=x-3/3!*x^3+25/5!*x^5-371/7!*x^7+11985/9!*x^9... %R A012481 %O A012481 0,2 %K A012481 sign,done %A A012481 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012482 %S A012482 1,1,7,23,8017,747727,74222601,10474339367,2425803672609, %T A012482 797453256598559,314897142584114585,142725117278783779511, %U A012482 75352861977241143203441,47181023399211225968222703 %V A012482 1,-1,-7,23,8017,747727,74222601,10474339367,2425803672609, %W A012482 797453256598559,314897142584114585,142725117278783779511, %X A012482 75352861977241143203441,47181023399211225968222703 %N A012482 arcsin(cos(x)*arcsin(x))=x-1/3!*x^3-7/5!*x^5+23/7!*x^7+8017/9!*x^9... %R A012482 %O A012482 0,3 %K A012482 sign,done %A A012482 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012483 %S A012483 1,0,20,56,20112,1097536,38765376,9775415168,3760405592320, %T A012483 1130444627523584,374326578677906432,166462985126115207168, %U A012483 92968540423042714603520,59757419067771727772172288 %V A012483 1,0,-20,-56,20112,1097536,38765376,9775415168,3760405592320, %W A012483 1130444627523584,374326578677906432,166462985126115207168, %X A012483 92968540423042714603520,59757419067771727772172288 %N A012483 tan(cos(x)*arcsin(x))=x-20/5!*x^5-56/7!*x^7+20112/9!*x^9... %R A012483 %O A012483 0,3 %K A012483 sign,done %A A012483 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012484 %S A012484 1,4,68,3064,265936,35730176,7235106240,1984468240000, %T A012484 725871298851072,336136505074527232,194162507080835314688, %U A012484 135973687998348753147904,113975638131557424617639936 %V A012484 1,-4,68,-3064,265936,-35730176,7235106240,-1984468240000, %W A012484 725871298851072,-336136505074527232,194162507080835314688, %X A012484 -135973687998348753147904,113975638131557424617639936 %N A012484 arctan(cos(x)*arcsin(x))=x-4/3!*x^3+68/5!*x^5-3064/7!*x^7+265936/9!*x^9... %R A012484 %O A012484 0,2 %K A012484 sign,done %A A012484 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012485 %S A012485 1,1,9,105,1393,71025,898887,455252889,75822681503,21366754787169, %T A012485 7036035942040855,2891117170991668553,1426147181806835610927, %U A012485 835104626729810211267025,572372814334312671408317799 %V A012485 1,-1,9,-105,1393,-71025,-898887,-455252889,-75822681503, %W A012485 -21366754787169,-7036035942040855,-2891117170991668553, %X A012485 -1426147181806835610927,-835104626729810211267025 %N A012485 cos(cos(x)*arcsin(x))=1-1/2!*x^2+9/4!*x^4-105/6!*x^6+1393/8!*x^8... %R A012485 %O A012485 0,3 %K A012485 sign,done %A A012485 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012486 %S A012486 1,1,15,359,3713,347151,62839153,10196506423,2397571040897, %T A012486 714196911010335,263318643848985457,118248746057101708295, %U A012486 63495547245752463558145,40188528694405725339687983 %V A012486 1,-1,-15,359,3713,347151,62839153,10196506423,2397571040897, %W A012486 714196911010335,263318643848985457,118248746057101708295, %X A012486 63495547245752463558145,40188528694405725339687983 %N A012486 sinh(cos(x)*arcsin(x))=x-1/3!*x^3-15/5!*x^5+359/7!*x^7+3713/9!*x^9... %R A012486 %O A012486 0,3 %K A012486 sign,done %A A012486 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012487 %S A012487 1,3,33,1155,91553,10478435,2004751617,496122561571,172663180364481, %T A012487 74458608812963395,41124360344562400097,27302583872806500602179, %U A012487 21988222585362167359370081,20773428879345642355312415907 %V A012487 1,-3,33,-1155,91553,-10478435,2004751617,-496122561571, %W A012487 172663180364481,-74458608812963395,41124360344562400097, %X A012487 -27302583872806500602179,21988222585362167359370081 %N A012487 arcsinh(cos(x)*arcsin(x))=x-3/3!*x^3+33/5!*x^5-1155/7!*x^7+91553/9!*x^9... %R A012487 %O A012487 0,2 %K A012487 sign,done %A A012487 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012488 %S A012488 1,4,60,2056,127376,11253504,1524986944,257629834112,60842617280768, %T A012488 16737691854400512,6112605714322803712,2481449664133693548544, %U A012488 1299422306103439813611520,728308688777419365865848832 %V A012488 1,-4,60,-2056,127376,-11253504,1524986944,-257629834112, %W A012488 60842617280768,-16737691854400512,6112605714322803712, %X A012488 -2481449664133693548544,1299422306103439813611520 %N A012488 tanh(cos(x)*arcsin(x))=x-4/3!*x^3+60/5!*x^5-2056/7!*x^7+127376/9!*x^9... %R A012488 %O A012488 0,2 %K A012488 sign,done %A A012488 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012489 %S A012489 1,0,12,168,8144,1384768,149032128,16299168896,2859883876608, %T A012489 1008997773326336,466978134769624064,228641400872390260736, %U A012489 120327829272472868704256,72933308761894955432460288 %V A012489 1,0,-12,-168,8144,1384768,149032128,16299168896,2859883876608, %W A012489 1008997773326336,466978134769624064,228641400872390260736, %X A012489 120327829272472868704256,72933308761894955432460288 %N A012489 arctanh(cos(x)*arcsin(x))=x-12/5!*x^5-168/7!*x^7+8144/9!*x^9... %R A012489 %O A012489 0,3 %K A012489 sign,done %A A012489 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012490 %S A012490 1,1,7,25,1297,785,3237577,476552297,93536269473,25410713978785, %T A012490 8498142387238425,3493252199008249913,1729861042158836509361, %U A012490 1015648464575702746171825,697882405841324552721582569 %V A012490 1,1,-7,25,1297,785,3237577,476552297,93536269473,25410713978785, %W A012490 8498142387238425,3493252199008249913,1729861042158836509361, %X A012490 1015648464575702746171825,697882405841324552721582569 %N A012490 cosh(cos(x)*arcsin(x))=1+1/2!*x^2-7/4!*x^4+25/6!*x^6+1297/8!*x^8... %R A012490 %O A012490 0,3 %K A012490 sign,done %A A012490 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012491 %S A012491 1,1,3,75,1337,144105,3933237,118760733,129911988593,47180864336337, %T A012491 13805291952312685,5130037600431416453,2642764719782227835049, %U A012491 1617152674535806453668025,1114616020996573591259007909 %V A012491 1,1,-3,-75,1337,144105,3933237,118760733,129911988593, %W A012491 47180864336337,13805291952312685,5130037600431416453, %X A012491 2642764719782227835049,1617152674535806453668025 %N A012491 sec(cos(x)*arcsin(x))=1+1/2!*x^2-3/4!*x^4-75/6!*x^6+1337/8!*x^8... %R A012491 %O A012491 0,3 %K A012491 sign,done %A A012491 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012492 %S A012492 1,1,13,325,14873,1157705,123919013,19431568013,3783114987057, %T A012492 997881588156817,307028543021467965,122601833964174456533, %U A012492 54600351690827520350281,30810847280896713474456025 %V A012492 1,-1,13,-325,14873,-1157705,123919013,-19431568013,3783114987057, %W A012492 -997881588156817,307028543021467965,-122601833964174456533, %X A012492 54600351690827520350281,-30810847280896713474456025 %N A012492 sech(cos(x)*arcsin(x))=1-1/2!*x^2+13/4!*x^4-325/6!*x^6+14873/8!*x^8... %R A012492 %O A012492 0,3 %K A012492 sign,done %A A012492 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012494 %S A012494 1,3,45,1743,125625,14554683,2473184805,579439207623,179018972217585, %T A012494 70518070842040563,34495620120141463965,20515677772241956573503, %U A012494 14578232896601243652363945,12198268199871431840616166443 %V A012494 1,-3,45,-1743,125625,-14554683,2473184805,-579439207623, %W A012494 179018972217585,-70518070842040563,34495620120141463965, %X A012494 -20515677772241956573503,14578232896601243652363945 %N A012494 arctan(cos(x)*tan(x))=x-3/3!*x^3+45/5!*x^5-1743/7!*x^7+125625/9!*x^9... %R A012494 %O A012494 0,2 %K A012494 sign,done %A A012494 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012495 %S A012495 1,2,20,632,39440,4087712,634237760,137605112192,39776178356480, %T A012495 14775064298435072,6857795892626969600,3889298341511511652352, %U A012495 2646362625886738240901120,2127690488032789501903020032 %V A012495 1,-2,20,-632,39440,-4087712,634237760,-137605112192,39776178356480, %W A012495 -14775064298435072,6857795892626969600,-3889298341511511652352, %X A012495 2646362625886738240901120,-2127690488032789501903020032 %N A012495 arcsinh(cos(x)*tan(x))=x-2/3!*x^3+20/5!*x^5-632/7!*x^7+39440/9!*x^9... %R A012495 %O A012495 0,2 %K A012495 sign,done %A A012495 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012496 %S A012496 1,1,1,4,19,0,445,1304,14663,109120,718265,10816896,50970203, %T A012496 1441841024,4876389557,258762139648,548752599567,60872480247808, %U A012496 47436062951281,18224782774259712,12631837146241245 %V A012496 1,1,1,-4,-19,0,445,1304,-14663,-109120,718265,10816896,-50970203, %W A012496 -1441841024,4876389557,258762139648,-548752599567,-60872480247808, %X A012496 47436062951281,18224782774259712,12631837146241245 %N A012496 exp(cos(x)*arctan(x))=1+x+1/2!*x^2-4/3!*x^3-19/4!*x^4+445/6!*x^6... %R A012496 %O A012496 0,4 %K A012496 sign,done %A A012496 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012497 %S A012497 1,6,100,4256,302352,32245664,4879093440,996485811712, %T A012497 264232448010496,88283645811756544,36292696703112000512, %U A012497 18004529956099757727744,10606618572326341265592320 %V A012497 1,-6,100,-4256,302352,-32245664,4879093440,-996485811712, %W A012497 264232448010496,-88283645811756544,36292696703112000512, %X A012497 -18004529956099757727744,10606618572326341265592320 %N A012497 sin(cos(x)*arctan(x))=x-6/3!*x^3+100/5!*x^5-4256/7!*x^7+302352/9!*x^9... %R A012497 %O A012497 0,2 %K A012497 sign,done %A A012497 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012498 %S A012498 1,4,8,128,25216,3387008,160621056,6497102848,10675803193344, %T A012498 4485074198855680,823007646284349440,188938583696417751040, %U A012498 280059136770757168726016,235157137580491486235983872 %V A012498 1,-4,8,128,25216,-3387008,160621056,-6497102848,10675803193344, %W A012498 -4485074198855680,823007646284349440,-188938583696417751040, %X A012498 280059136770757168726016,-235157137580491486235983872 %N A012498 arcsin(cos(x)*arctan(x))=x-4/3!*x^3+8/5!*x^5+128/7!*x^7+25216/9!*x^9... %R A012498 %O A012498 0,2 %K A012498 sign,done %A A012498 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012499 %S A012499 1,3,35,1729,12711,5819099,581423349,26066838953,19485197470415, %T A012499 2379630157273805,789057561743200397,445703452244142678255, %U A012499 25928070972710765150345,80008658408138506870433013 %V A012499 1,-3,-35,1729,-12711,-5819099,581423349,26066838953,-19485197470415, %W A012499 2379630157273805,789057561743200397,-445703452244142678255, %X A012499 25928070972710765150345,80008658408138506870433013 %N A012499 tan(cos(x)*arctan(x))=x-3/3!*x^3-35/5!*x^5+1729/7!*x^7-12711/9!*x^9... %R A012499 %O A012499 0,2 %K A012499 sign,done %A A012499 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012500 %S A012500 1,7,173,11779,1474969,296068991,87094091589,35308668668155, %T A012500 18872654969343537,12860552599622997751,10882609077370643446493, %U A012500 11195876625633675125480947,13761866805554489099492092361 %V A012500 1,-7,173,-11779,1474969,-296068991,87094091589,-35308668668155, %W A012500 18872654969343537,-12860552599622997751,10882609077370643446493, %X A012500 -11195876625633675125480947,13761866805554489099492092361 %N A012500 arctan(cos(x)*atan(x))=x-7/3!*x^3+173/5!*x^5-11779/7!*x^7... %R A012500 %O A012500 0,2 %K A012500 sign,done %A A012500 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012501 %S A012501 1,1,21,645,34153,2966505,380114493,67244074989,15717842398417, %T A012501 4694489063253585,1744673430747688805,789702534539438543573, %U A012501 427739642844597474379833,273184203052102765688128825 %V A012501 1,-1,21,-645,34153,-2966505,380114493,-67244074989,15717842398417, %W A012501 -4694489063253585,1744673430747688805,-789702534539438543573, %X A012501 427739642844597474379833,-273184203052102765688128825 %N A012501 cos(cos(x)*arctan(x))=1-1/2!*x^2+21/4!*x^4-645/6!*x^6+34153/8!*x^8... %R A012501 %O A012501 0,3 %K A012501 sign,done %A A012501 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012502 %S A012502 1,4,0,1304,109120,10816896,1441841024,258762139648,60872480247808, %T A012502 18224782774259712,6768839825021124608,3053776998122900160512, %U A012502 1644778710545416370094080,1042415029678789870444740608 %V A012502 1,-4,0,1304,-109120,10816896,-1441841024,258762139648, %W A012502 -60872480247808,18224782774259712,-6768839825021124608, %X A012502 3053776998122900160512,-1644778710545416370094080 %N A012502 sinh(cos(x)*arctan(x))=x-4/3!*x^3+1304/7!*x^7-109120/9!*x^9... %R A012502 %O A012502 0,2 %K A012502 sign,done %A A012502 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012503 %S A012503 1,6,108,5880,624848,110121440,29157594048,10831610048896, %T A012503 5375188617697536,3434391975840699904,2745651126153216330752, %U A012503 2684651090523817558325248,3151501790727433916335149056 %V A012503 1,-6,108,-5880,624848,-110121440,29157594048,-10831610048896, %W A012503 5375188617697536,-3434391975840699904,2745651126153216330752, %X A012503 -2684651090523817558325248,3151501790727433916335149056 %N A012503 arcsinh(cos(x)*arctan(x))=x-6/3!*x^3+108/5!*x^5-5880/7!*x^7... %R A012503 %O A012503 0,2 %K A012503 sign,done %A A012503 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012504 %S A012504 1,7,165,9931,1037033,167246319,38489315917,11958291252467, %T A012504 4819985549046353,2445005516326951767,1523950240372673482357, %U A012504 1144729097700954584840347,1019812687197159075947289145 %V A012504 1,-7,165,-9931,1037033,-167246319,38489315917,-11958291252467, %W A012504 4819985549046353,-2445005516326951767,1523950240372673482357, %X A012504 -1144729097700954584840347,1019812687197159075947289145 %N A012504 tanh(cos(x)*arctan(x))=x-7/3!*x^3+165/5!*x^5-9931/7!*x^7... %R A012504 %O A012504 0,2 %K A012504 sign,done %A A012504 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012505 %S A012505 1,3,27,777,48905,4320107,424303635,77237001761,20512289602833, %T A012505 6321209675239123,1704909797900721931,812189572458422888249, %U A012505 493715837509806144441881,331434668084376519747747387 %V A012505 1,-3,-27,777,48905,-4320107,-424303635,77237001761,20512289602833, %W A012505 -6321209675239123,-1704909797900721931,812189572458422888249, %X A012505 493715837509806144441881,-331434668084376519747747387 %N A012505 arctanh(cos(x)*atan(x))=x-3/3!*x^3-27/5!*x^5+777/7!*x^7+48905/9!*x^9... %R A012505 %O A012505 0,2 %K A012505 sign,done %A A012505 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012506 %S A012506 1,1,19,445,14663,718265,50970203,4876389557,548752599567, %T A012506 47436062951281,12631837146241245,15669443125044502867, %U A012506 12502889747981009020841,9927639811374322485212375 %V A012506 1,1,-19,445,-14663,718265,-50970203,4876389557,-548752599567, %W A012506 47436062951281,12631837146241245,-15669443125044502867, %X A012506 12502889747981009020841,-9927639811374322485212375 %N A012506 cosh(cos(x)*arctan(x))=1+1/2!*x^2-19/4!*x^4+445/6!*x^6-14663/8!*x^8... %R A012506 %O A012506 0,3 %K A012506 sign,done %A A012506 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012507 %S A012507 1,1,15,105,8897,664815,4523343,8138992953,972054629887, %T A012507 115219461350367,72803853486273265,6666182957939643127, %U A012507 7549270905441932464191,4123382958180269131627825 %V A012507 1,1,-15,105,8897,-664815,-4523343,8138992953,-972054629887, %W A012507 -115219461350367,72803853486273265,-6666182957939643127, %X A012507 -7549270905441932464191,4123382958180269131627825 %N A012507 sec(cos(x)*arctan(x))=1+1/2!*x^2-15/4!*x^4+105/6!*x^6+8897/8!*x^8... %R A012507 %O A012507 0,3 %K A012507 sign,done %A A012507 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012508 %S A012508 1,1,25,1105,91313,12232385,2400320393,649247356433,231544408317537, %T A012508 105271075840787713,59429582363323624185,40787189186519841731153, %U A012508 33444147237661076070865681,32290555807054629631946821825 %V A012508 1,-1,25,-1105,91313,-12232385,2400320393,-649247356433, %W A012508 231544408317537,-105271075840787713,59429582363323624185, %X A012508 -40787189186519841731153,33444147237661076070865681 %N A012508 sech(cos(x)*arctan(x))=1-1/2!*x^2+25/4!*x^4-1105/6!*x^6+91313/8!*x^8... %R A012508 %O A012508 0,3 %K A012508 sign,done %A A012508 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012509 %S A012509 4,32,544,15872,707584,44736512,3807514624,419730685952, %T A012509 58177770225664,9902996106248192,2030847773013704704, %U A012509 493842960380415967232,140503203207887919775744 %N A012509 log(cos(x)*cos(x))=-4/4!*x^4-32/6!*x^6-544/8!*x^8-15872/10!*x^10... %R A012509 %O A012509 0,1 %K A012509 sign,done %A A012509 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012510 %S A012510 2,3,12,40,70,189,7896,102528,1237862,14606405,176349580,2218114392, %T A012510 29206309106,404834121405,5910831145072,90961908805184, %U A012510 1474337506709838,25140576842935821,450346980602582884 %V A012510 2,-3,12,-40,70,189,-7896,102528,-1237862,14606405,-176349580, %W A012510 2218114392,-29206309106,404834121405,-5910831145072,90961908805184, %X A012510 -1474337506709838,25140576842935821,-450346980602582884 %N A012510 sin(sinh(x)*log(x+1))=2/2!*x^2-3/3!*x^3+12/4!*x^4-40/5!*x^5... %R A012510 %O A012510 0,1 %K A012510 sign,done %A A012510 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012511 %S A012511 2,3,12,40,310,2331,22344,214992,2532058,32683915,481944980, %T A012511 7585016088,130778587966,2420926296075,48554376131408, %U A012511 1038765449765536,23704180919254962,572815315696075155 %V A012511 2,-3,12,-40,310,-2331,22344,-214992,2532058,-32683915,481944980, %W A012511 -7585016088,130778587966,-2420926296075,48554376131408, %X A012511 -1038765449765536,23704180919254962,-572815315696075155 %N A012511 arcsin(sinh(x)*log(x+1))=2/2!*x^2-3/3!*x^3+12/4!*x^4-40/5!*x^5... %R A012511 %O A012511 0,1 %K A012511 sign,done %A A012511 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012512 %S A012512 2,3,12,40,430,3591,37464,373752,4507738,58823875,870967460, %T A012512 13719012528,234072634822,4250060142615,82733999849648, %U A012512 1710175098180496,37504812533836722,867602777991744483 %V A012512 2,-3,12,-40,430,-3591,37464,-373752,4507738,-58823875,870967460, %W A012512 -13719012528,234072634822,-4250060142615,82733999849648, %X A012512 -1710175098180496,37504812533836722,-867602777991744483 %N A012512 tan(sinh(x)*log(x+1))=2/2!*x^2-3/3!*x^3+12/4!*x^4-40/5!*x^5... %R A012512 %O A012512 0,1 %K A012512 sign,done %A A012512 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012513 %S A012513 2,3,12,40,50,1449,23016,261288,2306342,15798365,33379940,3972201168, %T A012513 100308059878,1917671123655,28943854480688,288514829730256, %U A012513 1435208344849998,189049167829499229,6863718553426263364 %V A012513 2,-3,12,-40,-50,1449,-23016,261288,-2306342,15798365,33379940, %W A012513 -3972201168,100308059878,-1917671123655,28943854480688, %X A012513 -288514829730256,-1435208344849998,189049167829499229 %N A012513 arctan(sinh(x)*log(x+1))=2/2!*x^2-3/3!*x^3+12/4!*x^4-40/5!*x^5... %R A012513 %O A012513 0,1 %K A012513 sign,done %A A012513 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012514 %S A012514 2,3,12,40,310,2331,22344,214992,2290138,26031115,322277780, %T A012514 4298532888,61722080446,947673715275,15499274051408,268866053899936, %U A012514 4930878490414002,95317757163840915,1937141676886282076 %V A012514 2,-3,12,-40,310,-2331,22344,-214992,2290138,-26031115,322277780, %W A012514 -4298532888,61722080446,-947673715275,15499274051408, %X A012514 -268866053899936,4930878490414002,-95317757163840915 %N A012514 sinh(sinh(x)*log(x+1))=2/2!*x^2-3/3!*x^3+12/4!*x^4-40/5!*x^5... %R A012514 %O A012514 0,1 %K A012514 sign,done %A A012514 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012515 %S A012515 2,3,12,40,50,1449,23016,261288,2548262,22451165,126287260,685717968, %T A012515 42875324518,1054666581255,20298673936688,334720477218256, %U A012515 4520234227269042,36137161587189411,513804606986199364 %V A012515 2,-3,12,-40,-50,1449,-23016,261288,-2548262,22451165,-126287260, %W A012515 -685717968,42875324518,-1054666581255,20298673936688, %X A012515 -334720477218256,4520234227269042,-36137161587189411 %N A012515 tanh(sinh(x)*log(x+1))=2/2!*x^2-3/3!*x^3+12/4!*x^4-40/5!*x^5... %R A012515 %O A012515 0,1 %K A012515 sign,done %A A012515 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012516 %S A012516 2,3,12,40,430,3591,37464,373752,4749658,65476675,1030634660, %T A012516 17005495728,307003733062,5926728736215,123925742441648, %U A012516 2752109508497296,65023509028085682,1622290259238643683 %V A012516 2,-3,12,-40,430,-3591,37464,-373752,4749658,-65476675,1030634660, %W A012516 -17005495728,307003733062,-5926728736215,123925742441648, %X A012516 -2752109508497296,65023509028085682,-1622290259238643683 %N A012516 arctanh(sinh(x)*log(x+1))=2/2!*x^2-3/3!*x^3+12/4!*x^4-40/5!*x^5... %R A012516 %O A012516 0,1 %K A012516 sign,done %A A012516 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012517 %S A012517 1,0,0,0,12,60,450,2940,30800,336672,4362120,57707760,847204776, %T A012517 13292039904,228041125312,4172767915680,81658781501440, %U A012517 1692115320051584,37160192133050304,860809698597753216 %V A012517 1,0,0,0,12,-60,450,-2940,30800,-336672,4362120,-57707760,847204776, %W A012517 -13292039904,228041125312,-4172767915680,81658781501440, %X A012517 -1692115320051584,37160192133050304,-860809698597753216 %N A012517 sec(sinh(x)*log(x+1))=1+12/4!*x^4-60/5!*x^5+450/6!*x^6-2940/7!*x^7... %R A012517 %O A012517 0,5 %K A012517 sign,done %A A012517 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012518 %S A012518 1,0,0,0,12,60,450,2940,14000,34272,929880,22680240,373861224, %T A012518 5345779296,65277500288,619227292320,1524395375360,135262063693184, %U A012518 5049805793018304,129393583799366016,2756260348734008192 %V A012518 1,0,0,0,-12,60,-450,2940,-14000,34272,929880,-22680240,373861224, %W A012518 -5345779296,65277500288,-619227292320,1524395375360, %X A012518 135262063693184,-5049805793018304,129393583799366016 %N A012518 sech(sinh(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-450/6!*x^6+2940/7!*x^7... %R A012518 %O A012518 0,5 %K A012518 sign,done %A A012518 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012519 %S A012519 1,2,5,20,125,1022,10145,119240,1621625,25018202,431595485, %T A012519 8233157660,172077583925,3910293621782,95985774268025, %U A012519 2531103994315280,71356674948823025,2141700448802291762 %N A012519 arcsin(sinh(x)*exp(x))=x+2/2!*x^2+5/3!*x^3+20/4!*x^4+125/5!*x^5... %R A012519 %O A012519 0,2 %K A012519 nonn %A A012519 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012520 %S A012520 1,2,2,16,160,688,3152,99584,992000,31232,190094848,3600265216, %T A012520 20655831040,737829988352,25775848957952,333499542339584, %U A012520 4040309414625280,311707129046499328,7000770202915176448 %V A012520 1,2,2,-16,-160,-688,3152,99584,992000,31232,-190094848,-3600265216, %W A012520 -20655831040,737829988352,25775848957952,333499542339584, %X A012520 -4040309414625280,-311707129046499328,-7000770202915176448 %N A012520 arctan(sinh(x)*exp(x))=x+2/2!*x^2+2/3!*x^3-16/4!*x^4-160/5!*x^5... %R A012520 %O A012520 0,2 %K A012520 sign,done %A A012520 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012521 %S A012521 1,2,6,32,240,2192,23856,303872,4427520,72545792,1320608256, %T A012521 26445350912,577722163200,13672510932992,348466876717056, %U A012521 9515645659185152,277168473987809280,8577847096804769792 %N A012521 arctanh(sinh(x)*exp(x))=x+2/2!*x^2+6/3!*x^3+32/4!*x^4+240/5!*x^5... %R A012521 %O A012521 0,2 %K A012521 nonn %A A012521 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012522 %S A012522 1,0,1,6,33,220,1857,18578,210497,2666808,37529089,581350110, %T A012522 9823649121,179778809236,3542606470977,74792059538282, %U A012522 1684263304319105,40298130761503344,1020885056930919937 %N A012522 sec(sinh(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+33/4!*x^4+220/5!*x^5... %R A012522 %O A012522 0,4 %K A012522 nonn %A A012522 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012523 %S A012523 1,0,1,6,23,20,743,9422,64433,19032,7391889,131529310,1204724391, %T A012523 2412614724,343942765463,7487171500918,80039031954145, %U A012523 547487821933904,48046886269866657,1195424254383765686 %V A012523 1,0,-1,-6,-23,-20,743,9422,64433,19032,-7391889,-131529310, %W A012523 -1204724391,2412614724,343942765463,7487171500918,80039031954145, %X A012523 -547487821933904,-48046886269866657,-1195424254383765686 %N A012523 sech(sinh(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-23/4!*x^4-20/5!*x^5... %R A012523 %O A012523 0,4 %K A012523 sign,done %A A012523 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012524 %S A012524 2,128,50432,63423488,186761510912,1077443663495168, %T A012524 10868880846196047872,176707410321941586771968 %V A012524 2,-128,50432,-63423488,186761510912,-1077443663495168, %W A012524 10868880846196047872,-176707410321941586771968 %X A012524 %N A012524 sin(sinh(x)*sin(x))=2/2!*x^2-128/6!*x^6+50432/10!*x^10... %R A012524 %O A012524 0,1 %K A012524 sign,done %A A012524 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012525 %S A012525 2,112,252032,3534410752,172897986486272,21863258933621358592, %T A012525 5949965523659671600627712,3079247941776170929023071813632 %N A012525 arcsin(sinh(x)*sin(x))=2/2!*x^2+112/6!*x^6+252032/10!*x^10... %R A012525 %O A012525 0,1 %K A012525 nonn %A A012525 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012526 %S A012526 2,232,443552,4070626432,114229813187072,7662813919487567872, %T A012526 1050565400687692105490432,264025846282089475815489175552 %N A012526 tan(sinh(x)*sin(x))=2/2!*x^2+232/6!*x^6+443552/10!*x^10... %R A012526 %O A012526 0,1 %K A012526 nonn %A A012526 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012527 %S A012527 2,248,766112,13434220928,784153824645632,115100516909469022208, %T A012527 35709161573583248175767552,20800482387908029348756471513088 %V A012527 2,-248,766112,-13434220928,784153824645632,-115100516909469022208, %W A012527 35709161573583248175767552,-20800482387908029348756471513088 %X A012527 %N A012527 arctan(sinh(x)*sin(x))=2/2!*x^2-248/6!*x^6+766112/10!*x^10... %R A012527 %O A012527 0,1 %K A012527 sign,done %A A012527 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012528 %S A012528 2,112,10112,17297408,15034114048,164133555208192,55023491428646912, %T A012528 16342277967934744690688 %V A012528 2,112,10112,-17297408,-15034114048,164133555208192, %W A012528 55023491428646912,-16342277967934744690688 %X A012528 %N A012528 sinh(sinh(x)*sin(x))=2/2!*x^2+112/6!*x^6+10112/10!*x^10... %R A012528 %O A012528 0,1 %K A012528 sign,done %A A012528 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012529 %S A012529 2,248,524192,5362156928,167986518651392,12583779264376322048, %T A012529 1926593546409409355620352,540704478247409702156924715008 %V A012529 2,-248,524192,-5362156928,167986518651392,-12583779264376322048, %W A012529 1926593546409409355620352,-540704478247409702156924715008 %X A012529 %N A012529 tanh(sinh(x)*sin(x))=2/2!*x^2-248/6!*x^6+524192/10!*x^10... %R A012529 %O A012529 0,1 %K A012529 sign,done %A A012529 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012530 %S A012530 2,232,685472,11496925312,641870470410752,90115671250751137792, %T A012530 26741121618547455928082432,14898765702188922919730883100672 %N A012530 arctanh(sinh(x)*sin(x))=2/2!*x^2+232/6!*x^6+685472/10!*x^10... %R A012530 %O A012530 0,1 %K A012530 nonn %A A012530 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012531 %S A012531 1,12,7952,36180672,603907465472,26832156798077952, %T A012531 2614680400223651827712,490948618119249163449188352, %U A012531 161900900520087402624595511017472 %N A012531 sec(sinh(x)*sin(x))=1+12/4!*x^4+7952/8!*x^8+36180672/12!*x^12... %R A012531 %O A012531 0,2 %K A012531 nonn %A A012531 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012532 %S A012532 1,12,8848,45051072,840261660928,41695924253002752, %T A012532 4537436258866404364288,951427888272965045905047552 %V A012532 1,-12,8848,-45051072,840261660928,-41695924253002752, %W A012532 4537436258866404364288,-951427888272965045905047552 %X A012532 %N A012532 sech(sinh(x)*sin(x))=1-12/4!*x^4+8848/8!*x^8-45051072/12!*x^12... %R A012532 %O A012532 0,2 %K A012532 sign,done %A A012532 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012533 %S A012533 1,2,20,440,17488,1122208,108352576,14910020736,2796629584128, %T A012533 688871838614016,216055818814010368,84109725396766971904, %U A012533 39796388326939272466432,22489039556700087459291136 %N A012533 exp(sinh(x)*arcsin(x))=1+2/2!*x^2+20/4!*x^4+440/6!*x^6+17488/8!*x^8... %R A012533 %O A012533 0,2 %K A012533 nonn %A A012533 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012534 %S A012534 2,8,40,4352,233312,14783360,1406171520,215345283072,48522307444224, %T A012534 14515971445110784,5456413300747012096,2505550929805243777024, %U A012534 1379341726073854089519104,896645569640320206145028096 %V A012534 2,8,-40,-4352,-233312,-14783360,-1406171520,-215345283072, %W A012534 -48522307444224,-14515971445110784,-5456413300747012096, %X A012534 -2505550929805243777024,-1379341726073854089519104 %N A012534 sin(sinh(x)*arcsin(x))=2/2!*x^2+8/4!*x^4-40/6!*x^6-4352/8!*x^8... %R A012534 %O A012534 0,1 %K A012534 sign,done %A A012534 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012535 %S A012535 2,8,200,9088,815008,107966080,21110274432,5547859611648, %T A012535 1915915213103616,835475489428146176,450640330168225851392, %U A012535 294111441801356743442432,228643425697131126294224896 %N A012535 arcsin(sinh(x)*arcsin(x))=2/2!*x^2+8/4!*x^4+200/6!*x^6+9088/8!*x^8... %R A012535 %O A012535 0,1 %K A012535 nonn %A A012535 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012536 %S A012536 2,8,320,15808,1429888,189299200,34859305728,8524943044608, %T A012536 2667935751684096,1040196824976736256,494214397360327786496, %U A012536 281064144909266002903040,188495115535527543004266496 %N A012536 tan(sinh(x)*arcsin(x))=2/2!*x^2+8/4!*x^4+320/6!*x^6+15808/8!*x^8... %R A012536 %O A012536 0,1 %K A012536 nonn %A A012536 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012537 %S A012537 2,8,160,11072,59008,103467520,9545313024,2353856581632, %T A012537 975598930427904,37877907269697536,166837459499821137920, %U A012537 45962446989093848219648,37193338901666118751944704 %V A012537 2,8,-160,-11072,59008,103467520,9545313024,-2353856581632, %W A012537 -975598930427904,37877907269697536,166837459499821137920, %X A012537 45962446989093848219648,-37193338901666118751944704 %N A012537 arctan(sinh(x)*arcsin(x))=2/2!*x^2+8/4!*x^4-160/6!*x^6-11072/8!*x^8... %R A012537 %O A012537 0,1 %K A012537 sign,done %A A012537 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012538 %S A012538 1,0,12,240,5040,145920,9256896,1349048064,289962366720, %T A012538 78050616729600,25779840881748992,10375373322500206592, %U A012538 5028804353588061089792,2895752923791276634275840 %V A012538 1,0,-12,-240,-5040,-145920,-9256896,-1349048064,-289962366720, %W A012538 -78050616729600,-25779840881748992,-10375373322500206592, %X A012538 -5028804353588061089792,-2895752923791276634275840 %N A012538 cos(sinh(x)*arcsin(x))=1-12/4!*x^4-240/6!*x^6-5040/8!*x^8... %R A012538 %O A012538 0,3 %K A012538 sign,done %A A012538 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012539 %S A012539 2,8,200,9088,573088,54743680,7549206912,1418652930048, %T A012539 349780182483456,109789748881688576,42770510180602898432, %U A012539 20248998750034801098752,11448712479091073092919296 %N A012539 sinh(sinh(x)*arcsin(x))=2/2!*x^2+8/4!*x^4+200/6!*x^6+9088/8!*x^8... %R A012539 %O A012539 0,1 %K A012539 nonn %A A012539 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012540 %S A012540 2,8,160,11072,182912,50245120,7608017664,26249146368, %T A012540 262793796747264,58964881233854464,7005062900187299840, %U A012540 9928554014089367257088,2780197098515017535389696 %V A012540 2,8,-160,-11072,-182912,50245120,7608017664,26249146368, %W A012540 -262793796747264,-58964881233854464,7005062900187299840, %X A012540 9928554014089367257088,2780197098515017535389696 %N A012540 tanh(sinh(x)*arcsin(x))=2/2!*x^2+8/4!*x^4-160/6!*x^6-11072/8!*x^8... %R A012540 %O A012540 0,1 %K A012540 sign,done %A A012540 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012541 %S A012541 2,8,320,15808,1671808,242521600,52294963968,14823920529408, %T A012541 5496196568825856,2548323017071149056,1453790822661022908416, %U A012541 997862723859007908085760,812410035086507459409412096 %N A012541 arctanh(sinh(x)*arcsin(x))=2/2!*x^2+8/4!*x^4+320/6!*x^6+15808/8!*x^8... %R A012541 %O A012541 0,1 %K A012541 nonn %A A012541 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012542 %S A012542 1,0,12,240,8400,549120,53608896,7360813824,1377976654080, %T A012542 339091656130560,106266069932321792,41339215216164073472, %U A012542 19547389576904471367680,11040327077609014366371840 %N A012542 cosh(sinh(x)*arcsin(x))=1+12/4!*x^4+240/6!*x^6+8400/8!*x^8... %R A012542 %O A012542 0,3 %K A012542 nonn %A A012542 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012543 %S A012543 1,0,12,240,15120,1355520,182229696,33914060544,8338432876800, %T A012543 2621544212398080,1025337444571630592,488344333262321119232, %U A012543 278250960368816815149056,186888075247900824522915840 %N A012543 sec(sinh(x)*arcsin(x))=1+12/4!*x^4+240/6!*x^6+15120/8!*x^8... %R A012543 %O A012543 0,3 %K A012543 nonn %A A012543 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012544 %S A012544 1,0,12,240,1680,660480,39530304,3855231744,1466146656000, %T A012544 147651751649280,43245441015313408,21785411128189063168, %U A012544 453349606338812022784,4374564365537166405795840 %V A012544 1,0,-12,-240,1680,660480,39530304,-3855231744,-1466146656000, %W A012544 -147651751649280,43245441015313408,21785411128189063168, %X A012544 453349606338812022784,-4374564365537166405795840 %N A012544 sech(sinh(x)*arcsin(x))=1-12/4!*x^4-240/6!*x^6+1680/8!*x^8... %R A012544 %O A012544 0,3 %K A012544 sign,done %A A012544 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012545 %S A012545 2,12,22,6888,664918,59975388,5718140738,547324724688,38493249163438, %T A012545 4551120221502012,4118717773789761382,1943760618993686019912, %U A012545 842266610124834993878522,367005752387547761811702612 %V A012545 2,12,22,-6888,-664918,-59975388,-5718140738,-547324724688, %W A012545 -38493249163438,4551120221502012,4118717773789761382, %X A012545 1943760618993686019912,842266610124834993878522 %N A012545 sin(sinh(x)*tan(x))=2/2!*x^2+12/4!*x^4+22/6!*x^6-6888/8!*x^8... %R A012545 %O A012545 0,1 %K A012545 sign,done %A A012545 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012546 %S A012546 2,12,262,13272,1199882,172207332,35836412302,10199550294192, %T A012546 3802117533461522,1797033345886449852,1049846428673838251542, %U A012546 742763896072793206770312,625784289590468519088366362 %N A012546 arcsin(sinh(x)*tan(x))=2/2!*x^2+12/4!*x^4+262/6!*x^6+13272/8!*x^8... %R A012546 %O A012546 0,1 %K A012546 nonn %A A012546 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012547 %S A012547 2,12,382,23352,2223002,318236292,63069898582,16506522005232, %T A012547 5516152886719922,2290713333669640572,1156963264109505327022, %U A012547 698325697094916345135912,496389417580098665436907082 %N A012547 tan(sinh(x)*tan(x))=2/2!*x^2+12/4!*x^4+382/6!*x^6+23352/8!*x^8... %R A012547 %O A012547 0,1 %K A012547 nonn %A A012547 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012548 %S A012548 2,12,98,16968,780838,93371652,31402903222,2306688997872, %T A012548 1741952370835918,849143623135762308,14075683397521166258, %U A012548 228742196475611564627112,136676421833398225367464202 %V A012548 2,12,-98,-16968,-780838,93371652,31402903222,2306688997872, %W A012548 -1741952370835918,-849143623135762308,-14075683397521166258, %X A012548 228742196475611564627112,136676421833398225367464202 %N A012548 arctan(sinh(x)*tan(x))=2/2!*x^2+12/4!*x^4-98/6!*x^6-16968/8!*x^8... %R A012548 %O A012548 0,1 %K A012548 sign,done %A A012548 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012549 %S A012549 2,12,262,13272,957962,92373732,11700940942,1898239676592, %T A012549 383856666320402,94495162415525052,27775889989675653142, %U A012549 9596246875502670987912,3846428998586880438721562 %N A012549 sinh(sinh(x)*tan(x))=2/2!*x^2+12/4!*x^4+262/6!*x^6+13272/8!*x^8... %R A012549 %O A012549 0,1 %K A012549 nonn %A A012549 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012550 %S A012550 2,12,98,16968,1022758,13538052,18891204022,3769346994672, %T A012550 123100068974642,253651389915077508,122777845265771787698, %U A012550 18798053944871656928088,18504747132976573022229002 %V A012550 2,12,-98,-16968,-1022758,13538052,18891204022,3769346994672, %W A012550 123100068974642,-253651389915077508,-122777845265771787698, %X A012550 -18798053944871656928088,18504747132976573022229002 %N A012550 tanh(sinh(x)*tan(x))=2/2!*x^2+12/4!*x^4-98/6!*x^6-16968/8!*x^8... %R A012550 %O A012550 0,1 %K A012550 sign,done %A A012550 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012551 %S A012551 2,12,382,23352,2464922,398069892,91079960662,28062488827632, %T A012551 11197997254599602,5618500857338248572,3461960315033768973742, %U A012551 2569953015248391982844712,2262189595338137069466955082 %N A012551 arctanh(sinh(x)*tan(x))=2/2!*x^2+12/4!*x^4+382/6!*x^6+23352/8!*x^8... %R A012551 %O A012551 0,1 %K A012551 nonn %A A012551 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012552 %S A012552 1,0,12,360,21392,2157120,312620352,62372069760,16405335464192, %T A012552 5496449323898880,2285903378752576512,1155546066959150254080, %U A012552 697824091645377743654912,496179920290601448240168960 %N A012552 sec(sinh(x)*tan(x))=1+12/4!*x^4+360/6!*x^6+21392/8!*x^8... %R A012552 %O A012552 0,3 %K A012552 nonn %A A012552 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012553 %S A012553 1,0,12,360,4592,866880,144205248,10276506240,1972062209792, %T A012553 1066588240250880,219129099375885312,33054966279836497920, %U A012553 54554661987210721497088,24677742880461438548951040 %V A012553 1,0,-12,-360,-4592,866880,144205248,10276506240,-1972062209792, %W A012553 -1066588240250880,-219129099375885312,33054966279836497920, %X A012553 54554661987210721497088,24677742880461438548951040 %N A012553 sech(sinh(x)*tan(x))=1-12/4!*x^4-360/6!*x^6-4592/8!*x^8... %R A012553 %O A012553 0,3 %K A012553 sign,done %A A012553 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012554 %S A012554 1,2,8,110,520,80458,4654604,820778478,157200016272,41164154565906, %T A012554 13482969489167252,5454988601609663734,2666562535164656750936, %U A012554 1549911678027846498248986,1056435556882844258622185948 %V A012554 1,2,8,110,520,80458,-4654604,820778478,-157200016272, %W A012554 41164154565906,-13482969489167252,5454988601609663734, %X A012554 -2666562535164656750936,1549911678027846498248986 %N A012554 exp(sinh(x)*arctan(x))=1+2/2!*x^2+8/4!*x^4+110/6!*x^6+520/8!*x^8... %R A012554 %O A012554 0,2 %K A012554 sign,done %A A012554 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012555 %S A012555 2,4,10,1160,25258,861940,503620962,179232404208,65782233424302, %T A012555 27609266214439916,13506425126580217786,7702534973614205704808, %U A012555 5093447847556265363925254,3877832071517816281261654756 %V A012555 2,-4,-10,-1160,25258,861940,-503620962,179232404208,-65782233424302, %W A012555 27609266214439916,-13506425126580217786,7702534973614205704808, %X A012555 -5093447847556265363925254,3877832071517816281261654756 %N A012555 sin(sinh(x)*arctan(x))=2/2!*x^2-4/4!*x^4-10/6!*x^6-1160/8!*x^8... %R A012555 %O A012555 0,1 %K A012555 sign,done %A A012555 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012556 %S A012556 2,4,230,7880,922378,104579660,22872643950,5494080273552, %T A012556 1980593407445778,817099673512164244,445251089168585478902, %U A012556 279905701143388803184984,216483300093818109473976346 %V A012556 2,-4,230,-7880,922378,-104579660,22872643950,-5494080273552, %W A012556 1980593407445778,-817099673512164244,445251089168585478902, %X A012556 -279905701143388803184984,216483300093818109473976346 %N A012556 arcsin(sinh(x)*arctan(x))=2/2!*x^2-4/4!*x^4+230/6!*x^6-7880/8!*x^8... %R A012556 %O A012556 0,1 %K A012556 sign,done %A A012556 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012557 %S A012557 2,4,350,11240,1461658,167279660,35689423926,8594866078032, %T A012557 2902777731046578,1163594305273709524,584328120817240344206, %U A012557 346295976826690961613880,244030359200524004600252746 %V A012557 2,-4,350,-11240,1461658,-167279660,35689423926,-8594866078032, %W A012557 2902777731046578,-1163594305273709524,584328120817240344206, %X A012557 -346295976826690961613880,244030359200524004600252746 %N A012557 tan(sinh(x)*arctan(x))=2/2!*x^2-4/4!*x^4+350/6!*x^6-11240/8!*x^8... %R A012557 %O A012557 0,1 %K A012557 sign,done %A A012557 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012558 %S A012558 2,4,130,2200,393178,36230060,2241493098,696842413488, %T A012558 151155071419698,94998751466350804,4870009119362109230, %U A012558 9231493784347343489864,1174397467642045406094346 %V A012558 2,-4,-130,2200,393178,-36230060,-2241493098,696842413488, %W A012558 151155071419698,-94998751466350804,4870009119362109230, %X A012558 9231493784347343489864,1174397467642045406094346 %N A012558 arctan(sinh(x)*atan(x))=2/2!*x^2-4/4!*x^4-130/6!*x^6+2200/8!*x^8... %R A012558 %O A012558 0,1 %K A012558 sign,done %A A012558 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012559 %S A012559 1,0,12,120,5040,398400,42267456,6511220352,1348919320320, %T A012559 361546293368832,121866178161646592,50449587034359175168, %U A012559 25164869672254098452480,14886957060645519281602560 %V A012559 1,0,-12,120,-5040,398400,-42267456,6511220352,-1348919320320, %W A012559 361546293368832,-121866178161646592,50449587034359175168, %X A012559 -25164869672254098452480,14886957060645519281602560 %N A012559 cos(sinh(x)*arctan(x))=1-12/4!*x^4+120/6!*x^6-5040/8!*x^8... %R A012559 %O A012559 0,3 %K A012559 sign,done %A A012559 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012560 %S A012560 2,4,230,7880,680458,77968460,12944005230,2852439671952, %T A012560 810954585734418,288565474593329044,125662055644822916342, %U A012560 65733137963856533872984,40670869816508001470654746 %V A012560 2,-4,230,-7880,680458,-77968460,12944005230,-2852439671952, %W A012560 810954585734418,-288565474593329044,125662055644822916342, %X A012560 -65733137963856533872984,40670869816508001470654746 %N A012560 sinh(sinh(x)*arctan(x))=2/2!*x^2-4/4!*x^4+230/6!*x^6-7880/8!*x^8... %R A012560 %O A012560 0,1 %K A012560 sign,done %A A012560 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012561 %S A012561 2,4,130,2200,151258,9618860,546359658,83826810288,15550415673138, %T A012561 5684890840251604,671714199027714350,198489523044256423096, %U A012561 248879210344083276692746,192773676674295725949026684 %V A012561 2,-4,-130,2200,151258,-9618860,-546359658,83826810288, %W A012561 15550415673138,-5684890840251604,671714199027714350, %X A012561 -198489523044256423096,248879210344083276692746 %N A012561 tanh(sinh(x)*arctan(x))=2/2!*x^2-4/4!*x^4-130/6!*x^6+2200/8!*x^8... %R A012561 %O A012561 0,1 %K A012561 sign,done %A A012561 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012562 %S A012562 2,4,350,11240,1703578,193890860,49492653366,12321392081232, %T A012562 4919573673167538,2124948350723616724,1246509899975408733326, %U A012562 820629733751515166342200,671843179144303883329974346 %V A012562 2,-4,350,-11240,1703578,-193890860,49492653366,-12321392081232, %W A012562 4919573673167538,-2124948350723616724,1246509899975408733326, %X A012562 -820629733751515166342200,671843179144303883329974346 %N A012562 arctanh(sinh(x)*atan(x))=2/2!*x^2-4/4!*x^4+350/6!*x^6-11240/8!*x^8... %R A012562 %O A012562 0,1 %K A012562 sign,done %A A012562 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012563 %S A012563 1,0,12,120,8400,600000,73313856,12123226752,2695239655680, %T A012563 769790431168512,275082505104161792,120207067043213252608, %U A012563 63066575428691877122048,39120958138480154972405760 %V A012563 1,0,12,-120,8400,-600000,73313856,-12123226752,2695239655680, %W A012563 -769790431168512,275082505104161792,-120207067043213252608, %X A012563 63066575428691877122048,-39120958138480154972405760 %N A012563 cosh(sinh(x)*arctan(x))=1+12/4!*x^4-120/6!*x^6+8400/8!*x^8... %R A012563 %O A012563 0,3 %K A012563 sign,done %A A012563 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012564 %S A012564 1,0,12,120,15120,1003200,175323456,30612097152,8428742150400, %T A012564 2694273274447872,1128666024421563392,559638290295925823488, %U A012564 336992041752644836265984,237186459370976230365020160 %V A012564 1,0,12,-120,15120,-1003200,175323456,-30612097152,8428742150400, %W A012564 -2694273274447872,1128666024421563392,-559638290295925823488, %X A012564 336992041752644836265984,-237186459370976230365020160 %N A012564 sec(sinh(x)*arctan(x))=1+12/4!*x^4-120/6!*x^6+15120/8!*x^8... %R A012564 %O A012564 0,3 %K A012564 sign,done %A A012564 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012565 %S A012565 1,0,12,120,1680,4800,20091456,2552065152,264925689600, %T A012565 68708953577472,29508519541947392,12189637912025356288, %U A012565 5505843502429896863744,3137663619884947867484160 %V A012565 1,0,-12,120,1680,-4800,-20091456,2552065152,-264925689600, %W A012565 68708953577472,-29508519541947392,12189637912025356288, %X A012565 -5505843502429896863744,3137663619884947867484160 %N A012565 sech(sinh(x)*arctan(x))=1-12/4!*x^4+120/6!*x^6+1680/8!*x^8... %R A012565 %O A012565 0,3 %K A012565 sign,done %A A012565 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012566 %S A012566 1,1,15,201,1025,505199,45962865,672778599,885967354495, %T A012566 245542561428001,22172563647911055,14487811265589717399, %U A012566 9628380148436165613185,2365618724494349248126799 %V A012566 1,-1,-15,-201,1025,505199,45962865,672778599,-885967354495, %W A012566 -245542561428001,-22172563647911055,14487811265589717399, %X A012566 9628380148436165613185,2365618724494349248126799 %N A012566 arcsin(sinh(x)*cos(x))=x-1/3!*x^3-15/5!*x^5-201/7!*x^7+1025/9!*x^9... %R A012566 %O A012566 0,3 %K A012566 sign,done %A A012566 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012567 %S A012567 1,4,60,2784,225680,29884864,5784292800,1544557830144, %T A012567 543835022577920,244140571254682624,136105808837097815040, %U A012567 92250989686413124706304,74707244097461420738908160 %V A012567 1,-4,60,-2784,225680,-29884864,5784292800,-1544557830144, %W A012567 543835022577920,-244140571254682624,136105808837097815040, %X A012567 -92250989686413124706304,74707244097461420738908160 %N A012567 arctan(sinh(x)*cos(x))=x-4/3!*x^3+60/5!*x^5-2784/7!*x^7+225680/9!*x^9... %R A012567 %O A012567 0,2 %K A012567 sign,done %A A012567 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012568 %S A012568 1,0,20,560,7920,1034880,172569280,12339608320,1902800305920, %T A012568 1037015219466240,208832669083243520,24402030281141555200, %U A012568 43057075784745711636480,18939654540025835056496640 %V A012568 1,0,-20,-560,-7920,1034880,172569280,12339608320,-1902800305920, %W A012568 -1037015219466240,-208832669083243520,24402030281141555200, %X A012568 43057075784745711636480,18939654540025835056496640 %N A012568 arctanh(sinh(x)*cos(x))=x-20/5!*x^5-560/7!*x^7-7920/9!*x^9... %R A012568 %O A012568 0,3 %K A012568 sign,done %A A012568 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012569 %S A012569 1,1,3,123,455,162889,7941813,647037363,141890950799,176381997457, %T A012569 4580546025413229,624311846901265941,219756895048343473751, %U A012569 104610854473143576793127,6198614559588741108912933 %V A012569 1,1,-3,-123,-455,162889,7941813,-647037363,-141890950799, %W A012569 176381997457,4580546025413229,624311846901265941, %X A012569 -219756895048343473751,-104610854473143576793127 %N A012569 sec(sinh(x)*cos(x))=1+1/2!*x^2-3/4!*x^4-123/6!*x^6-455/8!*x^8... %R A012569 %O A012569 0,3 %K A012569 sign,done %A A012569 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012570 %S A012570 1,1,13,277,12185,840489,84759717,11842313277,2175505004849, %T A012570 510170676389457,148514509335632701,52567147994554822501, %U A012570 22230968162996350213321,11070593880057710100740473 %V A012570 1,-1,13,-277,12185,-840489,84759717,-11842313277,2175505004849, %W A012570 -510170676389457,148514509335632701,-52567147994554822501, %X A012570 22230968162996350213321,-11070593880057710100740473 %N A012570 sech(sinh(x)*cos(x))=1-1/2!*x^2+13/4!*x^4-277/6!*x^6+12185/8!*x^8... %R A012570 %O A012570 0,3 %K A012570 sign,done %A A012570 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012571 %S A012571 2,8,152,6848,554912,70690688,13009484672,3265063958528, %T A012571 1071643508306432,445538702940858368,228823524775428872192, %U A012571 142264706412727018078208,105297877340452669962493952 %N A012571 arcsin(sinh(x)*sinh(x))=2/2!*x^2+8/4!*x^4+152/6!*x^6+6848/8!*x^8... %R A012571 %O A012571 0,1 %K A012571 nonn %A A012571 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012572 %S A012572 1,0,2,3,16,80,488,3339,26472,241128,2416002,26168835,310984452, %T A012572 4057771068,56774212350,841821751575,13356966503088,227284196307984, %U A012572 4085254725230514,76911822855270819,1527372651078909492 %V A012572 1,0,2,-3,16,-80,488,-3339,26472,-241128,2416002,-26168835, %W A012572 310984452,-4057771068,56774212350,-841821751575,13356966503088, %X A012572 -227284196307984,4085254725230514,-76911822855270819 %N A012572 exp(arcsinh(x)*log(x+1))=1+2/2!*x^2-3/3!*x^3+16/4!*x^4-80/5!*x^5... %R A012572 %O A012572 0,3 %K A012572 sign,done %A A012572 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012573 %S A012573 2,3,4,20,38,441,4776,34056,368838,5189085,61808100,666424980, %T A012573 8929309170,147346759665,2283822093840,33140217608400, %U A012573 562702300383630,11332944235915965,219113911766658060 %V A012573 2,-3,4,-20,38,441,-4776,34056,-368838,5189085,-61808100,666424980, %W A012573 -8929309170,147346759665,-2283822093840,33140217608400, %X A012573 -562702300383630,11332944235915965,-219113911766658060 %N A012573 sin(arcsinh(x)*log(x+1))=2/2!*x^2-3/3!*x^3+4/4!*x^4-20/5!*x^5... %R A012573 %O A012573 0,1 %K A012573 sign,done %A A012573 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012574 %S A012574 2,3,4,20,278,2079,12024,102024,1526202,21144915,254194620, %T A012574 3422013660,60148579710,1146224919735,21194144971440,407432463085200, %U A012574 8837992445168370,209438776595814435,5103026808528257460 %V A012574 2,-3,4,-20,278,-2079,12024,-102024,1526202,-21144915,254194620, %W A012574 -3422013660,60148579710,-1146224919735,21194144971440, %X A012574 -407432463085200,8837992445168370,-209438776595814435 %N A012574 arcsin(arcsinh(x)*log(x+1))=2/2!*x^2-3/3!*x^3+4/4!*x^4-20/5!*x^5... %R A012574 %O A012574 0,1 %K A012574 sign,done %A A012574 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012575 %S A012575 2,3,4,20,398,3339,20424,170064,2564442,36806715,452112780, %T A012575 6050016180,103580488230,1918670093235,34463159406480, %U A012575 644382830011200,13519192507361970,305019253676537235 %V A012575 2,-3,4,-20,398,-3339,20424,-170064,2564442,-36806715,452112780, %W A012575 -6050016180,103580488230,-1918670093235,34463159406480, %X A012575 -644382830011200,13519192507361970,-305019253676537235 %N A012575 tan(arcsinh(x)*log(x+1))=2/2!*x^2-3/3!*x^3+4/4!*x^4-20/5!*x^5... %R A012575 %O A012575 0,1 %K A012575 sign,done %A A012575 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012576 %S A012576 2,3,4,20,82,1701,13176,102096,499878,4097115,139441740,2543404500, %T A012576 36360855750,325904118435,572181239280,111107478652800, %U A012576 3446722823542350,73786652661818925,1095620901074848620 %V A012576 2,-3,4,-20,-82,1701,-13176,102096,-499878,-4097115,139441740, %W A012576 -2543404500,36360855750,-325904118435,-572181239280, %X A012576 111107478652800,-3446722823542350,73786652661818925 %N A012576 arctan(arcsinh(x)*log(x+1))=2/2!*x^2-3/3!*x^3+4/4!*x^4-20/5!*x^5... %R A012576 %O A012576 0,1 %K A012576 sign,done %A A012576 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012577 %S A012577 1,0,0,0,12,60,210,1260,11088,78624,476520,4469520,59173752, %T A012577 609811488,4917756480,63884751840,1229990362368,16261478914944, %U A012577 136911418778304,2226347294914944,65132012907161472 %V A012577 1,0,0,0,-12,60,-210,1260,-11088,78624,-476520,4469520,-59173752, %W A012577 609811488,-4917756480,63884751840,-1229990362368,16261478914944, %X A012577 -136911418778304,2226347294914944,-65132012907161472 %N A012577 cos(arcsinh(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-210/6!*x^6+1260/7!*x^7... %R A012577 %O A012577 0,5 %K A012577 sign,done %A A012577 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012578 %S A012578 2,3,4,20,38,441,4776,34056,126918,1463715,44636700,890330220, %T A012578 13954992270,144155651535,517645374960,19331453038800, %U A012578 757391766234510,18491125497187005,311747885279029260 %V A012578 2,-3,4,-20,38,441,-4776,34056,-126918,-1463715,44636700,-890330220, %W A012578 13954992270,-144155651535,517645374960,19331453038800, %X A012578 -757391766234510,18491125497187005,-311747885279029260 %N A012578 arcsinh(arcsinh(x)*log(x+1))=2/2!*x^2-3/3!*x^3+4/4!*x^4-20/5!*x^5... %R A012578 %O A012578 0,1 %K A012578 sign,done %A A012578 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012579 %S A012579 2,3,4,20,82,1701,13176,102096,741798,2555685,32996940,986649300, %T A012579 17351145030,237817720035,2593221000720,18017408438400, %U A012579 162521065585230,10623453347243565,281538871670714220 %V A012579 2,-3,4,-20,-82,1701,-13176,102096,-741798,2555685,32996940, %W A012579 -986649300,17351145030,-237817720035,2593221000720,-18017408438400, %X A012579 -162521065585230,10623453347243565,-281538871670714220 %N A012579 tanh(arcsinh(x)*log(x+1))=2/2!*x^2-3/3!*x^3+4/4!*x^4-20/5!*x^5... %R A012579 %O A012579 0,1 %K A012579 sign,done %A A012579 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012580 %S A012580 2,3,4,20,398,3339,20424,170064,2806362,43459515,558557580, %T A012580 7606771380,138088561830,2820420542835,55165236001680, %U A012580 1086992549563200,24100477113093810,594762006770251155 %V A012580 2,-3,4,-20,398,-3339,20424,-170064,2806362,-43459515,558557580, %W A012580 -7606771380,138088561830,-2820420542835,55165236001680, %X A012580 -1086992549563200,24100477113093810,-594762006770251155 %N A012580 arctanh(arcsinh(x)*log(x+1))=2/2!*x^2-3/3!*x^3+4/4!*x^4-20/5!*x^5... %R A012580 %O A012580 0,1 %K A012580 sign,done %A A012580 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012581 %S A012581 1,0,0,0,12,60,210,1260,14448,139104,1131720,11676720,163234632, %T A012581 2192512608,27259115520,393931268640,6898028418048,119527801113984, %U A012581 1985315996055744,36767841202329984,781945185373487232 %V A012581 1,0,0,0,12,-60,210,-1260,14448,-139104,1131720,-11676720,163234632, %W A012581 -2192512608,27259115520,-393931268640,6898028418048, %X A012581 -119527801113984,1985315996055744,-36767841202329984 %N A012581 cosh(arcsinh(x)*log(x+1))=1+12/4!*x^4-60/5!*x^5+210/6!*x^6... %R A012581 %O A012581 0,5 %K A012581 sign,done %A A012581 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012582 %S A012582 1,0,0,0,12,60,210,1260,21168,260064,2442120,26091120,411273192, %T A012582 6914670048,106449907200,1707861486240,32324814763008, %U A012582 667333358292864,13774375825919424,293275396792404864 %V A012582 1,0,0,0,12,-60,210,-1260,21168,-260064,2442120,-26091120,411273192, %W A012582 -6914670048,106449907200,-1707861486240,32324814763008, %X A012582 -667333358292864,13774375825919424,-293275396792404864 %N A012582 sec(arcsinh(x)*log(x+1))=1+12/4!*x^4-60/5!*x^5+210/6!*x^6-1260/7!*x^7... %R A012582 %O A012582 0,5 %K A012582 sign,done %A A012582 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012583 %S A012583 1,0,0,0,12,60,210,1260,4368,42336,833880,9944880,109031208, %T A012583 998835552,5256888000,57628902240,2552409700608,53611141985664, %U A012583 880205240332224,12318269451041664,115115298914746752 %V A012583 1,0,0,0,-12,60,-210,1260,-4368,-42336,833880,-9944880,109031208, %W A012583 -998835552,5256888000,57628902240,-2552409700608,53611141985664, %X A012583 -880205240332224,12318269451041664,-115115298914746752 %N A012583 sech(arcsinh(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-210/6!*x^6... %R A012583 %O A012583 0,5 %K A012583 sign,done %A A012583 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012584 %S A012584 1,1,3,9,33,145,715,3801,21889,140001,974803,6947017,50720417, %T A012584 421135793,3950147227,33562929817,240061039105,2672302901185, %U A012584 45695167547043,388308372326665,1858226878271967,9709607588675537 %V A012584 1,1,3,9,33,145,715,3801,21889,140001,974803,6947017,50720417, %W A012584 421135793,3950147227,33562929817,240061039105,2672302901185, %X A012584 45695167547043,388308372326665,-1858226878271967,9709607588675537 %N A012584 exp(arcsinh(x)*exp(x))=1+x+3/2!*x^2+9/3!*x^3+33/4!*x^4+145/5!*x^5... %R A012584 %O A012584 0,3 %K A012584 sign,done %A A012584 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012585 %S A012585 1,2,1,12,75,290,779,504,21353,309658,2312649,4942652,30773795, %T A012585 551161910,5842489277,202099628912,2781070598703,37094805544626, %U A012585 667109649353745,13372667222408444,244753093572037115 %V A012585 1,2,1,-12,-75,-290,-779,-504,21353,309658,2312649,4942652,-30773795, %W A012585 551161910,5842489277,-202099628912,-2781070598703,37094805544626, %X A012585 667109649353745,-13372667222408444,-244753093572037115 %N A012585 sin(arcsinh(x)*exp(x))=x+2/2!*x^2+1/3!*x^3-12/4!*x^4-75/5!*x^5... %R A012585 %O A012585 0,2 %K A012585 sign,done %A A012585 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012586 %S A012586 1,2,3,12,93,670,5775,66360,866201,12368218,199321595,3586550660, %T A012586 70423787445,1499367858742,34522135846471,854378102311664, %U A012586 22596634681576113,636104718523145010,18994369965270547315 %N A012586 arcsin(arcsinh(x)*exp(x))=x+2/2!*x^2+3/3!*x^3+12/4!*x^4+93/5!*x^5... %R A012586 %O A012586 0,2 %K A012586 nonn %A A012586 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012587 %S A012587 1,2,4,24,180,1240,10456,112896,1316816,16378528,229634304, %T A012587 3569726336,59315089600,1055150016128,20254767489152,415619313491968, %U A012587 9028238025838848,207506148418183680,5043727679716764672 %N A012587 tan(arcsinh(x)*exp(x))=x+2/2!*x^2+4/3!*x^3+24/4!*x^4+180/5!*x^5... %R A012587 %O A012587 0,2 %K A012587 nonn %A A012587 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012588 %S A012588 1,2,0,24,132,40,8568,83328,44272,13222112,182425408,173064320, %T A012588 53699598912,947897491840,1462598830976,450248068501504, %U A012588 9631043314112256,21880384337367552,6765800654464927744 %V A012588 1,2,0,-24,-132,40,8568,83328,-44272,-13222112,-182425408,173064320, %W A012588 53699598912,947897491840,-1462598830976,-450248068501504, %X A012588 -9631043314112256,21880384337367552,6765800654464927744 %N A012588 arctan(arcsinh(x)*exp(x))=x+2/2!*x^2-24/4!*x^4-132/5!*x^5+40/6!*x^6... %R A012588 %O A012588 0,2 %K A012588 sign,done %A A012588 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012589 %S A012589 1,0,1,6,19,20,155,1190,6617,44664,208375,904398,18752699,19097052, %T A012589 694693779,17424099810,291885915727,3147952642416,73814350009583, %U A012589 859299092152342,22448554968159587,334786837495491292 %V A012589 1,0,-1,-6,-19,-20,155,1190,6617,44664,208375,-904398,-18752699, %W A012589 -19097052,694693779,-17424099810,-291885915727,3147952642416, %X A012589 73814350009583,-859299092152342,-22448554968159587 %N A012589 cos(arcsinh(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-19/4!*x^4-20/5!*x^5... %R A012589 %O A012589 0,4 %K A012589 sign,done %A A012589 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012590 %S A012590 1,2,1,12,67,50,2917,31752,49849,3711302,59694967,115031620, %T A012590 13336031733,273381245254,558981564013,100703000514928, %U A012590 2505740944272783,5344180827839502,1386297984879140881 %V A012590 1,2,1,-12,-67,-50,2917,31752,49849,-3711302,-59694967,-115031620, %W A012590 13336031733,273381245254,558981564013,-100703000514928, %X A012590 -2505740944272783,-5344180827839502,1386297984879140881 %N A012590 arcsinh(arcsinh(x)*exp(x))=x+2/2!*x^2+1/3!*x^3-12/4!*x^4-67/5!*x^5... %R A012590 %O A012590 0,2 %K A012590 sign,done %A A012590 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012591 %S A012591 1,2,0,24,140,200,5096,63616,282192,3220832,80931136,710613376, %T A012591 3394272960,211897855104,3116854010752,2173449924608,951933369204480, %U A012591 22125765748465152,140624117764880384,6397454107401660416 %V A012591 1,2,0,-24,-140,-200,5096,63616,282192,-3220832,-80931136,-710613376, %W A012591 3394272960,211897855104,3116854010752,2173449924608, %X A012591 -951933369204480,-22125765748465152,-140624117764880384 %N A012591 tanh(arcsinh(x)*exp(x))=x+2/2!*x^2-24/4!*x^4-140/5!*x^5-200/6!*x^6... %R A012591 %O A012591 0,2 %K A012591 sign,done %A A012591 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012592 %S A012592 1,2,4,24,188,1480,14824,182784,2495632,37988128,649646336, %T A012592 12226037120,250202750016,5549572352896,132663174885760, %U A012592 3396998634659840,92768709569362176,2691992696956801536 %N A012592 arctanh(arcsinh(x)*exp(x))=x+2/2!*x^2+4/3!*x^3+24/4!*x^4+188/5!*x^5... %R A012592 %O A012592 0,2 %K A012592 nonn %A A012592 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012593 %S A012593 1,0,1,6,21,60,285,2170,12873,54936,391065,4881998,33969309,28359188, %T A012593 826179445,48496348290,328705747217,5928717037136,26909518872399, %U A012593 2320514677184022,14213386673919397,769724001738070932 %V A012593 1,0,1,6,21,60,285,2170,12873,54936,391065,4881998,33969309, %W A012593 28359188,826179445,48496348290,328705747217,-5928717037136, %X A012593 -26909518872399,2320514677184022,14213386673919397 %N A012593 cosh(arcsinh(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+21/4!*x^4+60/5!*x^5... %R A012593 %O A012593 0,4 %K A012593 sign,done %A A012593 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012594 %S A012594 1,0,1,6,25,140,1225,11410,110353,1260696,16597745,233501598, %T A012594 3534940649,58867014180,1060745261433,20315286728490,414362268698017, %U A012594 9016753267197744,207836963025430369,5046234392527982902 %N A012594 sec(arcsinh(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+25/4!*x^4+140/5!*x^5... %R A012594 %O A012594 0,4 %K A012594 nonn %A A012594 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012595 %S A012595 1,0,1,6,15,60,975,5390,10143,563976,5982945,9594398,788690001, %T A012595 14618418100,85743956207,2026783258890,64627785960767, %U A012595 716881015039504,7211897523161151,458865700394648778 %V A012595 1,0,-1,-6,-15,60,975,5390,-10143,-563976,-5982945,-9594398, %W A012595 788690001,14618418100,85743956207,-2026783258890,-64627785960767, %X A012595 -716881015039504,7211897523161151,458865700394648778 %N A012595 sech(arcsinh(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-15/4!*x^4+60/5!*x^5... %R A012595 %O A012595 0,4 %K A012595 sign,done %A A012595 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012596 %S A012596 1,2,4,40,688,23968,1134784,188393088,40676275968,10688526352896, %T A012596 3523678949366784,1431294964438824960,701609173130329731072, %U A012596 408385401482058726547456,278506576832606179137077248 %V A012596 1,2,4,-40,-688,23968,-1134784,188393088,-40676275968, %W A012596 10688526352896,-3523678949366784,1431294964438824960, %X A012596 -701609173130329731072,408385401482058726547456 %N A012596 exp(arcsinh(x)*sin(x))=1+2/2!*x^2+4/4!*x^4-40/6!*x^6-688/8!*x^8... %R A012596 %O A012596 0,2 %K A012596 sign,done %A A012596 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012597 %S A012597 2,8,40,4352,8608,38439040,4405714560,425680207872,252920252235264, %T A012597 5528067305916416,44468403610589394944,15834819953218036760576, %U A012597 5810504218823261839253504,7840743107847536780327223296 %V A012597 2,-8,-40,4352,8608,-38439040,4405714560,425680207872, %W A012597 -252920252235264,-5528067305916416,44468403610589394944, %X A012597 -15834819953218036760576,-5810504218823261839253504 %N A012597 arcsinh(arcsinh(x)*sin(x))=2/2!*x^2-8/4!*x^4-40/6!*x^6+4352/8!*x^8... %R A012597 %O A012597 0,1 %K A012597 sign,done %A A012597 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012598 %S A012598 1,2,12,208,6608,438912,38672832,5956592640,1035058952448, %T A012598 288405058560000,83042522104507392,36519438671549890560, %U A012598 15719007594987094364160,10017433660808198506414080 %N A012598 exp(arcsinh(x)*arcsin(x))=1+2/2!*x^2+12/4!*x^4+208/6!*x^6+6608/8!*x^8... %R A012598 %O A012598 0,2 %K A012598 nonn %A A012598 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012599 %S A012599 2,32,4608,129331200,10853318000640,1726305357602488320, %T A012599 538535159720462065336320,306551574237383273309735485440 %V A012599 2,-32,-4608,129331200,10853318000640,1726305357602488320, %W A012599 538535159720462065336320,306551574237383273309735485440 %X A012599 %N A012599 sin(arcsinh(x)*arcsin(x))=2/2!*x^2-32/6!*x^6-4608/10!*x^10... %R A012599 %O A012599 0,1 %K A012599 sign,done %A A012599 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012600 %S A012600 2,208,680832,13382891520,900036879360000,154882202019677798400, %T A012600 57048038229121314631188480,39842938883822751996178291752960 %N A012600 arcsin(arcsinh(x)*arcsin(x))=2/2!*x^2+208/6!*x^6+680832/10!*x^10... %R A012600 %O A012600 0,1 %K A012600 nonn %A A012600 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012601 %S A012601 2,328,1114272,20199941760,1186280710279680,172712964365318522880, %T A012601 52709992654283449278504960,30048263806420071363529720627200 %N A012601 tan(arcsinh(x)*arcsin(x))=2/2!*x^2+328/6!*x^6+1114272/10!*x^10... %R A012601 %O A012601 0,1 %K A012601 nonn %A A012601 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012602 %S A012602 2,152,469152,4992585600,302439240061440,25272513424650885120, %T A012602 8822979791130082266685440,2618340641057955264580458086400 %V A012602 2,-152,469152,-4992585600,302439240061440,-25272513424650885120, %W A012602 8822979791130082266685440,-2618340641057955264580458086400 %X A012602 %N A012602 arctan(arcsinh(x)*arcsin(x))=2/2!*x^2-152/6!*x^6+469152/10!*x^10... %R A012602 %O A012602 0,1 %K A012602 sign,done %A A012602 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012603 %S A012603 1,12,3248,19157952,518516045568,41950819968248832, %T A012603 7989124180734318489600,3074627327620950467600302080, %U A012603 2150601092109458094146556003287040 %V A012603 1,-12,-3248,-19157952,-518516045568,-41950819968248832, %W A012603 -7989124180734318489600,-3074627327620950467600302080, %X A012603 -2150601092109458094146556003287040 %N A012603 cos(arcsinh(x)*arcsin(x))=1-12/4!*x^4-3248/8!*x^8-19157952/12!*x^12... %R A012603 %O A012603 0,2 %K A012603 sign,done %A A012603 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012604 %S A012604 2,32,237312,193551360,135588570562560,2430443434345758720, %T A012604 4058321003957697899397120,710876639818620094374865797120 %V A012604 2,-32,237312,-193551360,135588570562560,2430443434345758720, %W A012604 4058321003957697899397120,710876639818620094374865797120 %X A012604 %N A012604 arcsinh(arcsinh(x)*arcsin(x))=2/2!*x^2-32/6!*x^6+237312/10!*x^10... %R A012604 %O A012604 0,1 %K A012604 sign,done %A A012604 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012605 %S A012605 2,152,227232,795112320,44292972802560,2002112058391603200, %T A012605 937365267083373473341440,444372302749315420373243166720 %V A012605 2,-152,227232,-795112320,44292972802560,2002112058391603200, %W A012605 937365267083373473341440,444372302749315420373243166720 %X A012605 %N A012605 tanh(arcsinh(x)*arcsin(x))=2/2!*x^2-152/6!*x^6+227232/10!*x^10... %R A012605 %O A012605 0,1 %K A012605 sign,done %A A012605 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012606 %S A012606 2,328,1356192,31500831360,2418220114014720,464609611973533501440, %T A012606 188067307050238642631516160,142618740583722182161589570273280 %N A012606 arctanh(arcsinh(x)*arcsin(x))=2/2!*x^2+328/6!*x^6+1356192/10!*x^10... %R A012606 %O A012606 0,1 %K A012606 nonn %A A012606 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012607 %S A012607 1,12,6608,38672832,1035058952448,83042522104507392, %T A012607 15719007594987094364160,6022323864926672477183262720 %N A012607 cosh(arcsinh(x)*arcsin(x))=1+12/4!*x^4+6608/8!*x^8+38672832/12!*x^12... %R A012607 %O A012607 0,2 %K A012607 nonn %A A012607 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012608 %S A012608 1,12,13328,117619392,4062867095808,388601301012237312, %T A012608 83771183547685073326080,35504181228757953494366208000, %U A012608 26841389346007019483917993990225920 %N A012608 sec(arcsinh(x)*arcsin(x))=1+12/4!*x^4+13328/8!*x^8+117619392/12!*x^12... %R A012608 %O A012608 0,2 %K A012608 nonn %A A012608 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012609 %S A012609 1,12,3472,20044992,47937777408,20305698249280512, %T A012609 2854719816291959009280,1250271985277826533770444800 %V A012609 1,-12,3472,-20044992,-47937777408,-20305698249280512, %W A012609 -2854719816291959009280,-1250271985277826533770444800 %X A012609 %N A012609 sech(arcsinh(x)*arcsin(x))=1-12/4!*x^4+3472/8!*x^8-20044992/12!*x^12... %R A012609 %O A012609 0,2 %K A012609 sign,done %A A012609 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012610 %S A012610 1,2,16,350,12248,734218,55640396,6572508462,822057317136, %T A012610 170181011188626,28436167156754964,10592613470009612406, %U A012610 1668642302509175576856,1486955058235797307115866 %N A012610 exp(arcsinh(x)*tan(x))=1+2/2!*x^2+16/4!*x^4+350/6!*x^6+12248/8!*x^8... %R A012610 %O A012610 0,2 %K A012610 nonn %A A012610 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012611 %S A012611 2,4,10,2872,158102,16416820,978422562,208568114544,49226001618, %T A012611 7815364604207468,2061047671608594374,1093492387339592903336, %U A012611 671330623551827250908986,418843222601740399516096420 %V A012611 2,4,-10,-2872,-158102,-16416820,-978422562,-208568114544, %W A012611 49226001618,-7815364604207468,2061047671608594374, %X A012611 -1093492387339592903336,671330623551827250908986 %N A012611 sin(arcsinh(x)*tan(x))=2/2!*x^2+4/4!*x^4-10/6!*x^6-2872/8!*x^8... %R A012611 %O A012611 0,1 %K A012611 sign,done %A A012611 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012612 %S A012612 2,4,230,3848,739018,41124620,15086858670,1991912000016, %T A012612 1097015309746578,280098851345357332,209537736711807583862, %U A012612 90218727574059928609048,87280770952178581593296986 %N A012612 arcsin(arcsinh(x)*tan(x))=2/2!*x^2+4/4!*x^4+230/6!*x^6+3848/8!*x^8... %R A012612 %O A012612 0,1 %K A012612 nonn %A A012612 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012613 %S A012613 2,4,350,7208,1278298,79874540,24248146806,3094746649296, %T A012613 1450703467495218,311518889830786132,210537148539150077966, %U A012613 67821849231894539132920,62959878878133692157576586 %N A012613 tan(arcsinh(x)*tan(x))=2/2!*x^2+4/4!*x^4+350/6!*x^6+7208/8!*x^8... %R A012613 %O A012613 0,1 %K A012613 nonn %A A012613 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012614 %S A012614 2,4,130,6232,209818,44625260,939197142,1343575704624, %T A012614 152431176198222,67149769157026132,36962943443013410990, %U A012614 7115636282012573400968,9527526213390925911666614 %V A012614 2,4,-130,-6232,209818,44625260,939197142,-1343575704624, %W A012614 -152431176198222,67149769157026132,36962943443013410990, %X A012614 -7115636282012573400968,-9527526213390925911666614 %N A012614 arctan(arcsinh(x)*tan(x))=2/2!*x^2+4/4!*x^4-130/6!*x^6-6232/8!*x^8... %R A012614 %O A012614 0,1 %K A012614 sign,done %A A012614 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012615 %S A012615 1,0,12,120,5040,35520,10080576,1291774848,129155669760, %T A012615 70025050601472,12621771155397632,7717419122045659136, %U A012615 2918362206037173678080,1928021073359516653240320 %V A012615 1,0,-12,-120,-5040,-35520,-10080576,1291774848,-129155669760, %W A012615 70025050601472,-12621771155397632,7717419122045659136, %X A012615 -2918362206037173678080,1928021073359516653240320 %N A012615 cos(arcsinh(x)*tan(x))=1-12/4!*x^4-120/6!*x^6-5040/8!*x^8... %R A012615 %O A012615 0,3 %K A012615 sign,done %A A012615 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012616 %S A012616 2,4,10,2872,83818,10194380,1201034718,434124645744,21017961579822, %T A012616 3112138256976532,12699119070248719814,2651876213664722621096, %U A012616 900449010135889648937414,1239037120915487790639386020 %V A012616 2,4,-10,-2872,83818,10194380,1201034718,-434124645744, %W A012616 -21017961579822,3112138256976532,12699119070248719814, %X A012616 -2651876213664722621096,-900449010135889648937414 %N A012616 arcsinh(arcsinh(x)*tan(x))=2/2!*x^2+4/4!*x^4-10/6!*x^6-2872/8!*x^8... %R A012616 %O A012616 0,1 %K A012616 sign,done %A A012616 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012617 %S A012617 2,4,130,6232,32102,18014060,2634330582,33133771824,37925465839182, %T A012617 16267772522154668,2012491810909723310,52146402203293345912, %U A012617 867090565519403243923786,388470254962420081890970180 %V A012617 2,4,-130,-6232,-32102,18014060,2634330582,-33133771824, %W A012617 -37925465839182,-16267772522154668,2012491810909723310, %X A012617 52146402203293345912,867090565519403243923786 %N A012617 tanh(arcsinh(x)*tan(x))=2/2!*x^2+4/4!*x^4-130/6!*x^6-6232/8!*x^8... %R A012617 %O A012617 0,1 %K A012617 sign,done %A A012617 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012618 %S A012618 2,4,350,7208,1520218,106485740,38051376246,6123846322896, %T A012618 3217389043510578,964215477538459732,692917532440212444686, %U A012618 338776184246581290006520,318786053587029917056642186 %N A012618 arctanh(arcsinh(x)*tan(x))=2/2!*x^2+4/4!*x^4+350/6!*x^6+7208/8!*x^8... %R A012618 %O A012618 0,1 %K A012618 nonn %A A012618 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012619 %S A012619 1,0,12,120,8400,237120,41126976,1414288512,774359589120, %T A012619 7305842952192,43904341686828032,6519096982922602496, %U A012619 6522454342040400908288,2519478812073315269099520 %V A012619 1,0,12,120,8400,237120,41126976,1414288512,774359589120, %W A012619 -7305842952192,43904341686828032,-6519096982922602496, %X A012619 6522454342040400908288,-2519478812073315269099520 %N A012619 cosh(arcsinh(x)*tan(x))=1+12/4!*x^4+120/6!*x^6+8400/8!*x^8... %R A012619 %O A012619 0,3 %K A012619 sign,done %A A012619 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012620 %S A012620 1,0,12,120,15120,640320,143136576,14091272832,5105629251840, %T A012620 906008454739968,490783256100396032,136461255865204086784, %U A012620 104233836908816608661504,41544908070600747941806080 %N A012620 sec(arcsinh(x)*tan(x))=1+12/4!*x^4+120/6!*x^6+15120/8!*x^8... %R A012620 %O A012620 0,3 %K A012620 nonn %A A012620 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012621 %S A012621 1,0,12,120,1680,367680,12095424,560956032,447394871040, %T A012621 8068784621568,1294533276204032,6639186363172284416, %U A012621 1043706052752056152064,641443809049086939217920 %V A012621 1,0,-12,-120,1680,367680,12095424,-560956032,-447394871040, %W A012621 -8068784621568,-1294533276204032,6639186363172284416, %X A012621 -1043706052752056152064,641443809049086939217920 %N A012621 sech(arcsinh(x)*tan(x))=1-12/4!*x^4-120/6!*x^6+1680/8!*x^8... %R A012621 %O A012621 0,3 %K A012621 sign,done %A A012621 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012622 %S A012622 1,2,0,2,56,2358,136092,8379282,86371632,375439810578, %T A012622 214530925771068,116413070752178550,68704024823157716040, %U A012622 45584029026653621816730,34279883031448204487212500 %V A012622 1,2,0,-2,56,-2358,136092,-8379282,-86371632,375439810578, %W A012622 -214530925771068,116413070752178550,-68704024823157716040, %X A012622 45584029026653621816730,-34279883031448204487212500 %N A012622 exp(arcsinh(x)*arctan(x))=1+2/2!*x^2-2/6!*x^6+56/8!*x^8-2358/10!*x^10... %R A012622 %O A012622 0,2 %K A012622 sign,done %A A012622 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012623 %S A012623 2,12,118,168,314838,60653340,12586913250,3145598341200, %T A012623 959740793965230,355199264316850500,157666664319013951290, %U A012623 82936567630998372808440,51114833501551851944029830 %V A012623 2,-12,118,168,-314838,60653340,-12586913250,3145598341200, %W A012623 -959740793965230,355199264316850500,-157666664319013951290, %X A012623 82936567630998372808440,-51114833501551851944029830 %N A012623 sin(arcsinh(x)*arctan(x))=2/2!*x^2-12/4!*x^4+118/6!*x^6+168/8!*x^8... %R A012623 %O A012623 0,1 %K A012623 sign,done %A A012623 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012624 %S A012624 2,12,358,19992,2033802,315229860,70634865390,21500632868400, %T A012624 8568722761815570,4328828352860125500,2705283169021072846710, %U A012624 2049095504528923919551560,1849840972092365870411519130 %V A012624 2,-12,358,-19992,2033802,-315229860,70634865390,-21500632868400, %W A012624 8568722761815570,-4328828352860125500,2705283169021072846710, %X A012624 -2049095504528923919551560,1849840972092365870411519130 %N A012624 arcsin(arcsinh(x)*arctan(x))=2/2!*x^2-12/4!*x^4+358/6!*x^6-19992/8!*x^8... %R A012624 %O A012624 0,1 %K A012624 sign,done %A A012624 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012625 %S A012625 2,12,478,30072,3298842,533109060,120154935990,35890600460400, %T A012625 13718452402856370,6526678990152469500,3781159226914921390350, %U A012625 2620167311178014908602600,2139645753650552865382712010 %V A012625 2,-12,478,-30072,3298842,-533109060,120154935990,-35890600460400, %W A012625 13718452402856370,-6526678990152469500,3781159226914921390350, %X A012625 -2620167311178014908602600,2139645753650552865382712010 %N A012625 tan(arcsinh(x)*arctan(x))=2/2!*x^2-12/4!*x^4+478/6!*x^6-30072/8!*x^8... %R A012625 %O A012625 0,1 %K A012625 sign,done %A A012625 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012626 %S A012626 2,12,2,10248,672678,20843460,16777261590,2958597356400, %T A012626 195442688499150,352062527506877700,110808084056350289490, %U A012626 28855116263423436192360,55915766816627672060266890 %V A012626 2,-12,-2,10248,-672678,-20843460,16777261590,-2958597356400, %W A012626 -195442688499150,352062527506877700,-110808084056350289490, %X A012626 -28855116263423436192360,55915766816627672060266890 %N A012626 arctan(arcsinh(x)*atan(x))=2/2!*x^2-12/4!*x^4-2/6!*x^6+10248/8!*x^8... %R A012626 %O A012626 0,1 %K A012626 sign,done %A A012626 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012627 %S A012627 1,0,12,360,16688,1189440,122878272,17448342912,3261902393088, %T A012627 775178137884672,227406029305961472,80264949964203755520, %U A012627 33279338195895762923520,15813964958377484261376000 %V A012627 1,0,-12,360,-16688,1189440,-122878272,17448342912,-3261902393088, %W A012627 775178137884672,-227406029305961472,80264949964203755520, %X A012627 -33279338195895762923520,15813964958377484261376000 %N A012627 cos(arcsinh(x)*arctan(x))=1-12/4!*x^4+360/6!*x^6-16688/8!*x^8... %R A012627 %O A012627 0,3 %K A012627 sign,done %A A012627 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012628 %S A012628 2,12,118,168,72918,19180260,7673967390,1668580628400, %T A012628 206209417380690,17149380702207300,8171629445251404090, %U A012628 13542042383228350058760,18432243823017229137614970 %V A012628 2,-12,118,168,-72918,-19180260,7673967390,-1668580628400, %W A012628 206209417380690,17149380702207300,-8171629445251404090, %X A012628 -13542042383228350058760,18432243823017229137614970 %N A012628 arcsinh(arcsinh(x)*arctan(x))=2/2!*x^2-12/4!*x^4+118/6!*x^6+168/8!*x^8... %R A012628 %O A012628 0,1 %K A012628 sign,done %A A012628 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012629 %S A012629 2,12,2,10248,914598,58990140,390971670,1399074591600, %T A012629 414051949573170,75189740418805500,1988456671385842770, %U A012629 10786170755283590925720,6649588570098570005749110 %V A012629 2,-12,-2,10248,-914598,58990140,390971670,-1399074591600, %W A012629 414051949573170,-75189740418805500,-1988456671385842770, %X A012629 10786170755283590925720,-6649588570098570005749110 %N A012629 tanh(arcsinh(x)*arctan(x))=2/2!*x^2-12/4!*x^4-2/6!*x^6+10248/8!*x^8... %R A012629 %O A012629 0,1 %K A012629 sign,done %A A012629 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012630 %S A012630 2,12,478,30072,3540762,612942660,152039588790,50468748044400, %T A012630 21718174357721010,11738352932289531900,7790876172172937111310, %U A012630 6228079669260433576829160,5903220687917269513392843210 %V A012630 2,-12,478,-30072,3540762,-612942660,152039588790,-50468748044400, %W A012630 21718174357721010,-11738352932289531900,7790876172172937111310, %X A012630 -6228079669260433576829160,5903220687917269513392843210 %N A012630 arctanh(arcsinh(x)*atan(x))=2/2!*x^2-12/4!*x^4+478/6!*x^6-30072/8!*x^8... %R A012630 %O A012630 0,1 %K A012630 sign,done %A A012630 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012631 %S A012631 1,0,12,360,20048,1794240,235532352,42633182592,10177055117568, %T A012631 3097788814190592,1171100833288338432,538330446029312133120, %U A012631 295703061186623293870080,191289947652383750277120000 %V A012631 1,0,12,-360,20048,-1794240,235532352,-42633182592,10177055117568, %W A012631 -3097788814190592,1171100833288338432,-538330446029312133120, %X A012631 295703061186623293870080,-191289947652383750277120000 %N A012631 cosh(arcsinh(x)*arctan(x))=1+12/4!*x^4-360/6!*x^6+20048/8!*x^8... %R A012631 %O A012631 0,3 %K A012631 sign,done %A A012631 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012632 %S A012632 1,0,12,360,26768,3003840,500757312,114797434752,34719912016128, %T A012632 13385737151096832,6408112715151793152,3729311544255904696320, %U A012632 2592887206723575200256000,2122643658026530680956928000 %V A012632 1,0,12,-360,26768,-3003840,500757312,-114797434752,34719912016128, %W A012632 -13385737151096832,6408112715151793152,-3729311544255904696320, %X A012632 2592887206723575200256000,-2122643658026530680956928000 %N A012632 sec(arcsinh(x)*arctan(x))=1+12/4!*x^4-360/6!*x^6+26768/8!*x^8... %R A012632 %O A012632 0,3 %K A012632 sign,done %A A012632 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012633 %S A012633 1,0,12,360,9968,20160,62513088,11126763648,1288066390272, %T A012633 19652873951232,83472832434404352,36956701107235768320, %U A012633 9713959158890293555200,340935340396162516992000 %V A012633 1,0,-12,360,-9968,-20160,62513088,-11126763648,1288066390272, %W A012633 19652873951232,-83472832434404352,36956701107235768320, %X A012633 -9713959158890293555200,-340935340396162516992000 %N A012633 sech(arcsinh(x)*arctan(x))=1-12/4!*x^4+360/6!*x^6-9968/8!*x^8... %R A012633 %O A012633 0,3 %K A012633 sign,done %A A012633 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012634 %S A012634 1,1,1,3,15,15,225,1029,3423,46239,58305,2582701,3367023,223494895, %T A012634 750974497,31551766453,195722347967,6578644464703,56832659001729, %U A012634 1828823841664733,19485490128305615,641975997431127503 %V A012634 1,1,1,-3,-15,-15,225,1029,-3423,-46239,58305,2582701,-3367023, %W A012634 -223494895,750974497,31551766453,-195722347967,-6578644464703, %X A012634 56832659001729,1828823841664733,-19485490128305615 %N A012634 exp(arcsinh(x)*cos(x))=1+x+1/2!*x^2-3/3!*x^3-15/4!*x^4-15/5!*x^5... %R A012634 %O A012634 0,4 %K A012634 sign,done %A A012634 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012635 %S A012635 1,5,65,2221,119873,9786229,1171166529,194493711517,42939774236801, %T A012635 12195226930738277,4336542878659585857,1888009822588324263693, %U A012635 987916087242245073188545,611721247451930045960766677 %V A012635 1,-5,65,-2221,119873,-9786229,1171166529,-194493711517, %W A012635 42939774236801,-12195226930738277,4336542878659585857, %X A012635 -1888009822588324263693,987916087242245073188545 %N A012635 sin(arcsinh(x)*cos(x))=x-5/3!*x^3+65/5!*x^5-2221/7!*x^7+119873/9!*x^9... %R A012635 %O A012635 0,2 %K A012635 sign,done %A A012635 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012636 %S A012636 1,3,7,133,21233,943283,64681879,10372748843,6179882408929, %T A012636 384576977940067,23526100511419175,184617412046324669403, %U A012636 96969651542601504466641,10475657438994641401987347 %V A012636 1,-3,-7,133,21233,-943283,-64681879,-10372748843,6179882408929, %W A012636 -384576977940067,-23526100511419175,-184617412046324669403, %X A012636 96969651542601504466641,-10475657438994641401987347 %N A012636 arcsin(arcsinh(x)*cos(x))=x-3/3!*x^3-7/5!*x^5+133/7!*x^7+21233/9!*x^9... %R A012636 %O A012636 0,2 %K A012636 sign,done %A A012636 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012637 %S A012637 1,2,40,824,34880,3510784,105236352,50170105088,740139765760, %T A012637 1822790066204672,239991990818783232,116554901577925656576, %U A012637 41369324496338787860480,15006195846954859719360512 %V A012637 1,-2,-40,824,34880,-3510784,-105236352,50170105088,-740139765760, %W A012637 -1822790066204672,239991990818783232,116554901577925656576, %X A012637 -41369324496338787860480,-15006195846954859719360512 %N A012637 tan(arcsinh(x)*cos(x))=x-2/3!*x^3-40/5!*x^5+824/7!*x^7+34880/9!*x^9... %R A012637 %O A012637 0,2 %K A012637 sign,done %A A012637 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012638 %S A012638 1,6,128,7784,863168,153777536,40156766336,14452100967680, %T A012638 6857570007949312,4148412279035834368,3116288727548544729088, %U A012638 2846053921629037944078336,3105570670613041972460814336 %V A012638 1,-6,128,-7784,863168,-153777536,40156766336,-14452100967680, %W A012638 6857570007949312,-4148412279035834368,3116288727548544729088, %X A012638 -2846053921629037944078336,3105570670613041972460814336 %N A012638 arctan(arcsinh(x)*cos(x))=x-6/3!*x^3+128/5!*x^5-7784/7!*x^7... %R A012638 %O A012638 0,2 %K A012638 sign,done %A A012638 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012639 %S A012639 1,1,17,385,15073,1010945,101590513,14396384769,2765830859457, %T A012639 694784293696513,221386930443511505,87298037019243856513, %U A012639 41742102489497599699873,23796035609379191857799425 %V A012639 1,-1,17,-385,15073,-1010945,101590513,-14396384769,2765830859457, %W A012639 -694784293696513,221386930443511505,-87298037019243856513, %X A012639 41742102489497599699873,-23796035609379191857799425 %N A012639 cos(arcsinh(x)*cos(x))=1-1/2!*x^2+17/4!*x^4-385/6!*x^6+15073/8!*x^8... %R A012639 %O A012639 0,3 %K A012639 sign,done %A A012639 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012640 %S A012640 1,5,73,3565,337873,53181845,12563583641,4158179320061, %T A012640 1836546568939681,1043609929405146661,741652625178569817577, %U A012640 644417189348695489885965,672084091294680203529876081 %V A012640 1,-5,73,-3565,337873,-53181845,12563583641,-4158179320061, %W A012640 1836546568939681,-1043609929405146661,741652625178569817577, %X A012640 -644417189348695489885965,672084091294680203529876081 %N A012640 arcsinh(arcsinh(x)*cos(x))=x-5/3!*x^3+73/5!*x^5-3565/7!*x^7... %R A012640 %O A012640 0,2 %K A012640 sign,done %A A012640 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012641 %S A012641 1,6,120,6216,548544,74860544,14571230336,3827313412352, %T A012641 1304171528695808,559299942314340352,294737591597024591872, %U A012641 187195194238509459439616,141014910901971840963870720 %V A012641 1,-6,120,-6216,548544,-74860544,14571230336,-3827313412352, %W A012641 1304171528695808,-559299942314340352,294737591597024591872, %X A012641 -187195194238509459439616,141014910901971840963870720 %N A012641 tanh(arcsinh(x)*cos(x))=x-6/3!*x^3+120/5!*x^5-6216/7!*x^7... %R A012641 %O A012641 0,2 %K A012641 sign,done %A A012641 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012642 %S A012642 1,2,32,152,48448,289408,393649024,34249082624,12871254335488, %T A012642 2591959365570560,694262452828553216,534293242711984668672, %U A012642 97599429997759939117056,140451121892184627503628288 %V A012642 1,-2,-32,152,48448,289408,-393649024,-34249082624,12871254335488, %W A012642 2591959365570560,-694262452828553216,-534293242711984668672, %X A012642 97599429997759939117056,140451121892184627503628288 %N A012642 arctanh(arcsinh(x)*cos(x))=x-2/3!*x^3-32/5!*x^5+152/7!*x^7+48448/9!*x^9... %R A012642 %O A012642 0,2 %K A012642 sign,done %A A012642 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012643 %S A012643 1,1,15,225,3423,58305,3367023,750974497,195722347967,56832659001729, %T A012643 19485490128305615,8027995798338091873,3957958222909649739039, %U A012643 2309625363907160407164225,1576617968553516448130673711 %V A012643 1,1,-15,225,-3423,58305,-3367023,750974497,-195722347967, %W A012643 56832659001729,-19485490128305615,8027995798338091873, %X A012643 -3957958222909649739039,2309625363907160407164225 %N A012643 cosh(arcsinh(x)*cos(x))=1+1/2!*x^2-15/4!*x^4+225/6!*x^6-3423/8!*x^8... %R A012643 %O A012643 0,3 %K A012643 sign,done %A A012643 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012644 %S A012644 1,1,11,35,7817,79975,36304963,2699226933,396427182993, %T A012644 87651048858959,16569660529400315,10430924939842521613, %U A012644 942407687412636958951,611722217603320514811575 %V A012644 1,1,-11,-35,7817,-79975,-36304963,2699226933,396427182993, %W A012644 -87651048858959,-16569660529400315,10430924939842521613, %X A012644 -942407687412636958951,-611722217603320514811575 %N A012644 sec(arcsinh(x)*cos(x))=1+1/2!*x^2-11/4!*x^4-35/6!*x^6+7817/8!*x^8... %R A012644 %O A012644 0,3 %K A012644 sign,done %A A012644 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012645 %S A012645 1,1,21,765,53193,6008025,993328413,226691205013,68261145008657, %T A012645 26216583047151921,12507068079360896165,7255577391165958142893, %U A012645 5029681350011635244424921,4106028806747521109741788425 %V A012645 1,-1,21,-765,53193,-6008025,993328413,-226691205013,68261145008657, %W A012645 -26216583047151921,12507068079360896165,-7255577391165958142893, %X A012645 5029681350011635244424921,-4106028806747521109741788425 %N A012645 sech(arcsinh(x)*cos(x))=1-1/2!*x^2+21/4!*x^4-765/6!*x^6+53193/8!*x^8... %R A012645 %O A012645 0,3 %K A012645 sign,done %A A012645 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012646 %S A012646 1,2,12,160,2576,95488,668096,402731264,50491782912,14988492926976, %T A012646 4720247498150912,1909488749227393024,925515319787778355200, %U A012646 534630384211887797927936,362170991481315590982090752 %V A012646 1,2,12,160,2576,95488,668096,402731264,-50491782912,14988492926976, %W A012646 -4720247498150912,1909488749227393024,-925515319787778355200, %X A012646 534630384211887797927936,-362170991481315590982090752 %N A012646 exp(arcsinh(x)*sinh(x))=1+2/2!*x^2+12/4!*x^4+160/6!*x^6+2576/8!*x^8... %R A012646 %O A012646 0,2 %K A012646 sign,done %A A012646 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012647 %S A012647 2,0,80,1344,14848,478720,233089792,40950956032,10897158856704, %T A012647 3658314845569024,1494490439452852224,737151399778288664576, %U A012647 431277629004040408989696,295401420454303808123568128 %V A012647 2,0,-80,-1344,14848,-478720,233089792,-40950956032,10897158856704, %W A012647 -3658314845569024,1494490439452852224,-737151399778288664576, %X A012647 431277629004040408989696,-295401420454303808123568128 %N A012647 sin(arcsinh(x)*sinh(x))=2/2!*x^2-80/6!*x^6-1344/8!*x^8+14848/10!*x^10... %R A012647 %O A012647 0,1 %K A012647 sign,done %A A012647 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012648 %S A012648 1,2,4,8,240,17952,1948608,295020672,59798806272,15680355451392, %T A012648 5172616470494208,2098138466506967040,1026884688371863449600, %U A012648 596895972998821973729280,406569645650910092250562560 %V A012648 1,2,4,8,-240,17952,-1948608,295020672,-59798806272,15680355451392, %W A012648 -5172616470494208,2098138466506967040,-1026884688371863449600, %X A012648 596895972998821973729280,-406569645650910092250562560 %N A012648 exp(arcsinh(x)*arcsinh(x))=1+2/2!*x^2+4/4!*x^4+8/6!*x^6-240/8!*x^8... %R A012648 %O A012648 0,2 %K A012648 sign,done %A A012648 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012649 %S A012649 2,8,8,2112,199008,22569600,3419806080,685509888000,177249701752320, %T A012649 57657923420313600,23084838758992066560,11165823102677176074240, %U A012649 6422018427189941047418880,4333064838791417292678266880 %V A012649 2,-8,8,2112,-199008,22569600,-3419806080,685509888000, %W A012649 -177249701752320,57657923420313600,-23084838758992066560, %X A012649 11165823102677176074240,-6422018427189941047418880 %N A012649 sin(arcsinh(x)*arcsinh(x))=2/2!*x^2-8/4!*x^4+8/6!*x^6+2112/8!*x^8... %R A012649 %O A012649 0,1 %K A012649 sign,done %A A012649 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012650 %S A012650 2,3,0,10,40,504,2352,4824,182912,3899720,27876640,234373776, %T A012650 5435914640,91625675400,1149581257216,18172484297792,366469643887104, %U A012650 6826755069373824,123759250799610112,2547236296257797760 %V A012650 2,-3,0,-10,40,504,-2352,-4824,-182912,3899720,-27876640,234373776, %W A012650 -5435914640,91625675400,-1149581257216,18172484297792, %X A012650 -366469643887104,6826755069373824,-123759250799610112 %N A012650 sin(tanh(x)*log(x+1))=2/2!*x^2-3/3!*x^3-10/5!*x^5+40/6!*x^6... %R A012650 %O A012650 0,1 %K A012650 sign,done %A A012650 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012651 %S A012651 2,3,0,10,280,2016,7728,50184,1167808,18442600,185678240,1830386064, %T A012651 35948019952,830271781080,14637146499584,224802165350848, %U A012651 4566858920948736,123373361063129472,3091693788277829888 %V A012651 2,-3,0,-10,280,-2016,7728,-50184,1167808,-18442600,185678240, %W A012651 -1830386064,35948019952,-830271781080,14637146499584, %X A012651 -224802165350848,4566858920948736,-123373361063129472 %N A012651 arcsin(tanh(x)*log(x+1))=2/2!*x^2-3/3!*x^3-10/5!*x^5+280/6!*x^6... %R A012651 %O A012651 0,1 %K A012651 sign,done %A A012651 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012652 %S A012652 2,3,0,10,400,3276,12768,72864,1933888,32108560,322393280,3122225184, %T A012652 60417280768,1349906937120,23068109840384,351887538631168, %U A012652 6985288388898816,174933529672527360,4096582594027839488 %V A012652 2,-3,0,-10,400,-3276,12768,-72864,1933888,-32108560,322393280, %W A012652 -3122225184,60417280768,-1349906937120,23068109840384, %X A012652 -351887538631168,6985288388898816,-174933529672527360 %N A012652 tan(tanh(x)*log(x+1))=2/2!*x^2-3/3!*x^3-10/5!*x^5+400/6!*x^6... %R A012652 %O A012652 0,1 %K A012652 sign,done %A A012652 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012653 %S A012653 2,3,0,10,80,1764,7392,17856,41792,7382320,134784320,1068379104, %T A012653 7660192384,35293839840,4466084847616,93476460710912, %U A012653 1176630882269184,10358160914068992,214589448557477888 %V A012653 2,-3,0,-10,-80,1764,-7392,17856,-41792,-7382320,134784320, %W A012653 -1068379104,7660192384,35293839840,-4466084847616,93476460710912, %X A012653 -1176630882269184,10358160914068992,214589448557477888 %N A012653 arctan(tanh(x)*log(x+1))=2/2!*x^2-3/3!*x^3-10/5!*x^5-80/6!*x^6... %R A012653 %O A012653 0,1 %K A012653 sign,done %A A012653 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012654 %S A012654 2,3,0,10,280,2016,7728,50184,925888,11789800,105844640,1138494864, %T A012654 18956325232,310531760280,4485718813184,69904446374848, %U A012654 1305162861566976,25605760011368832,494580429732524288 %V A012654 2,-3,0,-10,280,-2016,7728,-50184,925888,-11789800,105844640, %W A012654 -1138494864,18956325232,-310531760280,4485718813184,-69904446374848, %X A012654 1305162861566976,-25605760011368832,494580429732524288 %N A012654 sinh(tanh(x)*log(x+1))=2/2!*x^2-3/3!*x^3-10/5!*x^5+280/6!*x^6... %R A012654 %O A012654 0,1 %K A012654 sign,done %A A012654 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012655 %S A012655 2,3,0,10,40,504,2352,4824,59008,2753080,51956960,457517424, %T A012655 3806598640,21282319800,762122185216,20040705852992,230870869215744, %U A012655 1622064680555904,59149402039301888,3505708193887482240 %V A012655 2,-3,0,-10,40,504,-2352,-4824,59008,-2753080,51956960,-457517424, %W A012655 3806598640,-21282319800,-762122185216,20040705852992, %X A012655 -230870869215744,1622064680555904,59149402039301888 %N A012655 arcsinh(tanh(x)*log(x+1))=2/2!*x^2-3/3!*x^3-10/5!*x^5+40/6!*x^6... %R A012655 %O A012655 0,1 %K A012655 sign,done %A A012655 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012656 %S A012656 2,3,0,10,80,1764,7392,17856,283712,729520,54950720,376487904, %T A012656 2292269824,55214177760,28440387584,13225268890112,126040313401344, %U A012656 1502866020183552,50075653378957312,223574694389975040 %V A012656 2,-3,0,-10,-80,1764,-7392,17856,-283712,-729520,54950720,-376487904, %W A012656 2292269824,-55214177760,28440387584,13225268890112,-126040313401344, %X A012656 1502866020183552,-50075653378957312,223574694389975040 %N A012656 tanh(tanh(x)*log(x+1))=2/2!*x^2-3/3!*x^3-10/5!*x^5-80/6!*x^6... %R A012656 %O A012656 0,1 %K A012656 sign,done %A A012656 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012657 %S A012657 1,0,0,0,12,60,90,420,19040,245952,1660680,12025200,266431176, %T A012657 5435780064,74009711776,910402889760,17440536006400,420186078195584, %U A012657 8609810161550016,157606804730862720,3367145462253959552 %V A012657 1,0,0,0,12,-60,90,-420,19040,-245952,1660680,-12025200,266431176, %W A012657 -5435780064,74009711776,-910402889760,17440536006400, %X A012657 -420186078195584,8609810161550016,-157606804730862720 %N A012657 sec(tanh(x)*log(x+1))=1+12/4!*x^4-60/5!*x^5+90/6!*x^6-420/7!*x^7... %R A012657 %O A012657 0,5 %K A012657 sign,done %A A012657 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012658 %S A012658 1,0,0,0,12,60,90,420,2240,56448,607320,1834800,23242824,229079136, %T A012658 4388159776,77755073760,443094745600,10064071501184,151026375297216, %U A012658 1331806005060480,38225434479768448,233819320937341440 %V A012658 1,0,0,0,-12,60,-90,420,-2240,-56448,607320,-1834800,23242824, %W A012658 -229079136,-4388159776,77755073760,-443094745600,10064071501184, %X A012658 -151026375297216,-1331806005060480,38225434479768448 %N A012658 sech(tanh(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-90/6!*x^6+420/7!*x^7... %R A012658 %O A012658 0,5 %K A012658 sign,done %A A012658 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012659 %S A012659 1,2,2,8,80,512,3992,47168,588800,7903232,124255232,2161507328, %T A012659 40505429120,829919658752,18433385276672,438231826239488, %U A012659 11136829247959040,301669044409475072,8662857659856269312 %N A012659 arcsin(tanh(x)*exp(x))=x+2/2!*x^2+2/3!*x^3+8/4!*x^4+80/5!*x^5... %R A012659 %O A012659 0,2 %K A012659 nonn %A A012659 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012660 %S A012660 1,2,1,28,115,422,10859,62792,658855,17714998,105832681,2697504812, %T A012660 73345212005,348796937582,22580196404221,608734768217968, %U A012660 1123101121107535,335099557538486162,8749237741065576239 %V A012660 1,2,-1,-28,-115,422,10859,62792,-658855,-17714998,-105832681, %W A012660 2697504812,73345212005,348796937582,-22580196404221, %X A012660 -608734768217968,-1123101121107535,335099557538486162 %N A012660 arctan(tanh(x)*exp(x))=x+2/2!*x^2-1/3!*x^3-28/4!*x^4-115/5!*x^5... %R A012660 %O A012660 0,2 %K A012660 sign,done %A A012660 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012661 %S A012661 1,2,0,16,60,152,4200,25664,186480,5704288,39336000,690642944, %T A012661 20876856000,130293779072,5328943401600,157981983410176, %U A012661 643110850533120,73817890476319232,2117532947966822400 %V A012661 1,2,0,-16,-60,152,4200,25664,-186480,-5704288,-39336000,690642944, %W A012661 20876856000,130293779072,-5328943401600,-157981983410176, %X A012661 -643110850533120,73817890476319232,2117532947966822400 %N A012661 arcsinh(tanh(x)*exp(x))=x+2/2!*x^2-16/4!*x^4-60/5!*x^5+152/6!*x^6... %R A012661 %O A012661 0,2 %K A012661 sign,done %A A012661 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012662 %S A012662 1,0,1,6,21,100,957,8498,70217,762696,9950809,128378910,1775380893, %T A012662 28325140012,483428842197,8558590549322,163465935697169, %U A012662 3367220579004048,72712394227734577,1648059951297530166 %N A012662 sec(tanh(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+21/4!*x^4+100/5!*x^5... %R A012662 %O A012662 0,4 %K A012662 nonn %A A012662 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012663 %S A012663 1,0,1,6,11,100,1043,2702,47287,697656,2382009,65150690,1227815037, %T A012663 4876299948,197964434917,4452683466122,19212329422319, %U A012663 1119650941512592,28926172679801103,128264089711760074 %V A012663 1,0,-1,-6,-11,100,1043,2702,-47287,-697656,-2382009,65150690, %W A012663 1227815037,4876299948,-197964434917,-4452683466122,-19212329422319, %X A012663 1119650941512592,28926172679801103,128264089711760074 %N A012663 sech(tanh(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-11/4!*x^4+100/5!*x^5... %R A012663 %O A012663 0,4 %K A012663 sign,done %A A012663 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012664 %S A012664 2,12,22,6888,422998,19858212,10668149182,1244673483312, %T A012664 393680785867438,254550574752219588,30031176795810056858, %U A012664 50358282178393089181512,38448631613848702263196922 %V A012664 2,-12,22,6888,-422998,-19858212,10668149182,-1244673483312, %W A012664 -393680785867438,254550574752219588,-30031176795810056858, %X A012664 -50358282178393089181512,38448631613848702263196922 %N A012664 arcsinh(tanh(x)*sin(x))=2/2!*x^2-12/4!*x^4+22/6!*x^6+6888/8!*x^8... %R A012664 %O A012664 0,1 %K A012664 sign,done %A A012664 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012665 %S A012665 1,2,8,110,4552,259978,26613556,3743931438,726661861104, %T A012665 184792697093010,59372516216901100,23630807435854817398, %U A012665 11376266381571626239720,6525912682382427845314906 %N A012665 exp(tanh(x)*arcsin(x))=1+2/2!*x^2+8/4!*x^4+110/6!*x^6+4552/8!*x^8... %R A012665 %O A012665 0,2 %K A012665 nonn %A A012665 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012666 %S A012666 2,4,230,3848,497098,14513420,5158219950,47697728016,177486854140818, %T A012666 15468174530073068,17111710452932214902,4853812039531225331432, %U A012666 4006433870309112576215386,2193632391266157860474524900 %V A012666 2,-4,230,-3848,497098,-14513420,5158219950,-47697728016, %W A012666 177486854140818,15468174530073068,17111710452932214902, %X A012666 4853812039531225331432,4006433870309112576215386 %N A012666 sinh(tanh(x)*arcsin(x))=2/2!*x^2-4/4!*x^4+230/6!*x^6-3848/8!*x^8... %R A012666 %O A012666 0,1 %K A012666 sign,done %A A012666 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012667 %S A012667 2,8,159328,1254489728,20109957303808,562928915963168768, %T A012667 18213125504516311441408,1487241135313514473061711872 %V A012667 2,-8,-159328,-1254489728,-20109957303808,-562928915963168768, %W A012667 -18213125504516311441408,1487241135313514473061711872 %X A012667 %N A012667 sin(tanh(x)*tan(x))=2/2!*x^2-8/6!*x^6-159328/10!*x^10... %R A012667 %O A012667 0,1 %K A012667 sign,done %A A012667 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012668 %S A012668 2,232,647072,11510902912,730537735434752,121024350517590894592, %T A012668 43334092203148352120594432,29569225337018517420748948406272 %N A012668 arcsin(tanh(x)*tan(x))=2/2!*x^2+232/6!*x^6+647072/10!*x^10... %R A012668 %O A012668 0,1 %K A012668 nonn %A A012668 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012669 %S A012669 2,352,1140992,18447112192,921987413245952,110532127751546601472, %T A012669 27112825353492257048625152,12196239245956706589164638830592 %N A012669 tan(tanh(x)*tan(x))=2/2!*x^2+352/6!*x^6+1140992/10!*x^10... %R A012669 %O A012669 0,1 %K A012669 nonn %A A012669 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012670 %S A012670 2,128,253952,2863136768,107451055603712,10140668012798148608, %T A012670 2022780765718183801782272,757569427466144902069404827648 %V A012670 2,-128,253952,-2863136768,107451055603712,-10140668012798148608, %W A012670 2022780765718183801782272,-757569427466144902069404827648 %X A012670 %N A012670 arctan(tanh(x)*tan(x))=2/2!*x^2-128/6!*x^6+253952/10!*x^10... %R A012670 %O A012670 0,1 %K A012670 sign,done %A A012670 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012671 %S A012671 2,232,405152,3115956352,68413355397632,3412444856961083392, %T A012671 334650367409781717573632,58337032599905770133366013952 %N A012671 sinh(tanh(x)*tan(x))=2/2!*x^2+232/6!*x^6+405152/10!*x^10... %R A012671 %O A012671 0,1 %K A012671 nonn %A A012671 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012672 %S A012672 2,8,82592,608724608,22327881339392,1873956615576209408, %T A012672 347762137588896627924992,121417393113776577986657681408 %V A012672 2,-8,82592,-608724608,22327881339392,-1873956615576209408, %W A012672 347762137588896627924992,-121417393113776577986657681408 %X A012672 %N A012672 arcsinh(tanh(x)*tan(x))=2/2!*x^2-8/6!*x^6+82592/10!*x^10... %R A012672 %O A012672 0,1 %K A012672 sign,done %A A012672 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012673 %S A012673 2,128,12032,365688832,2002811158528,67148259011330048, %T A012673 3766780331499896963072,40680896591210190242578432 %V A012673 2,-128,12032,365688832,-2002811158528,-67148259011330048, %W A012673 3766780331499896963072,40680896591210190242578432 %X A012673 %N A012673 tanh(tanh(x)*tan(x))=2/2!*x^2-128/6!*x^6+12032/10!*x^10... %R A012673 %O A012673 0,1 %K A012673 sign,done %A A012673 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012674 %S A012674 1,12,14672,120702912,3622154930432,288623184943967232, %T A012674 50388328491376236941312,16943473357578443028001308672, %U A012674 10004545242456252590707488012173312 %N A012674 sec(tanh(x)*tan(x))=1+12/4!*x^4+14672/8!*x^8+120702912/12!*x^12... %R A012674 %O A012674 0,2 %K A012674 nonn %A A012674 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012675 %S A012675 1,12,2128,3482688,28510476032,29203453996032,18429307563035250688, %T A012675 709977989050867131727872 %V A012675 1,-12,2128,3482688,-28510476032,-29203453996032, %W A012675 18429307563035250688,-709977989050867131727872 %X A012675 %N A012675 sech(tanh(x)*tan(x))=1-12/4!*x^4+2128/8!*x^8+3482688/12!*x^12... %R A012675 %O A012675 0,2 %K A012675 sign,done %A A012675 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012676 %S A012676 1,2,4,40,2704,135392,6955456,305645184,7730286336,7469091807744, %T A012676 2423718751585280,765682386623223808,278356000956737810432, %U A012676 126892576689335471251456,75021056318660445602988032 %V A012676 1,2,-4,-40,2704,-135392,6955456,-305645184,-7730286336, %W A012676 7469091807744,-2423718751585280,765682386623223808, %X A012676 -278356000956737810432,126892576689335471251456 %N A012676 exp(tanh(x)*arctan(x))=1+2/2!*x^2-4/4!*x^4-40/6!*x^6+2704/8!*x^8... %R A012676 %O A012676 0,2 %K A012676 sign,done %A A012676 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012677 %S A012677 2,16,200,1024,765152,142708480,27846619008,6367245656064, %T A012677 1746851978927616,576681176370802688,228223153506206857216, %U A012677 107581169796591942238208,59934829639539220412555264 %V A012677 2,-16,200,1024,-765152,142708480,-27846619008,6367245656064, %W A012677 -1746851978927616,576681176370802688,-228223153506206857216, %X A012677 107581169796591942238208,-59934829639539220412555264 %N A012677 sin(tanh(x)*arctan(x))=2/2!*x^2-16/4!*x^4+200/6!*x^6+1024/8!*x^8... %R A012677 %O A012677 0,1 %K A012677 sign,done %A A012677 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012678 %S A012678 2,16,440,25856,2702368,442400000,104680527744,33826438987776, %T A012678 14318658795815424,7689929339111084032,5108988246588765059072, %U A012678 4113772753950316528205824,3947181962951541949825294336 %V A012678 2,-16,440,-25856,2702368,-442400000,104680527744,-33826438987776, %W A012678 14318658795815424,-7689929339111084032,5108988246588765059072, %X A012678 -4113772753950316528205824,3947181962951541949825294336 %N A012678 arcsin(tanh(x)*arctan(x))=2/2!*x^2-16/4!*x^4+440/6!*x^6-25856/8!*x^8... %R A012678 %O A012678 0,1 %K A012678 sign,done %A A012678 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012679 %S A012679 2,16,560,39296,4526848,774871040,184332195840,58099536592896, %T A012679 23416511012143104,11741974762852974592,7167152797622391013376, %U A012679 5231209742433608374681600,4498538959739976198689652736 %V A012679 2,-16,560,-39296,4526848,-774871040,184332195840,-58099536592896, %W A012679 23416511012143104,-11741974762852974592,7167152797622391013376, %X A012679 -5231209742433608374681600,4498538959739976198689652736 %N A012679 tan(tanh(x)*arctan(x))=2/2!*x^2-16/4!*x^4+560/6!*x^6-39296/8!*x^8... %R A012679 %O A012679 0,1 %K A012679 sign,done %A A012679 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012680 %S A012680 2,16,80,14464,1682432,76011520,26175092736,10889734127616, %T A012680 1790915255599104,628448342217064448,708415309969044275200, %U A012680 277815404352915818676224,89144743290434384702734336 %V A012680 2,-16,80,14464,-1682432,76011520,26175092736,-10889734127616, %W A012680 1790915255599104,628448342217064448,-708415309969044275200, %X A012680 277815404352915818676224,89144743290434384702734336 %N A012680 arctan(tanh(x)*atan(x))=2/2!*x^2-16/4!*x^4+80/6!*x^6+14464/8!*x^8... %R A012680 %O A012680 0,1 %K A012680 sign,done %A A012680 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012681 %S A012681 1,0,12,480,25200,1789440,165502656,18976409088,2521802100480, %T A012681 337469315481600,20084172331338752,21802197506685280256, %U A012681 22192552544232587431936,18125174754251391091998720 %V A012681 1,0,-12,480,-25200,1789440,-165502656,18976409088,-2521802100480, %W A012681 337469315481600,-20084172331338752,-21802197506685280256, %X A012681 22192552544232587431936,-18125174754251391091998720 %N A012681 cos(tanh(x)*arctan(x))=1-12/4!*x^4+480/6!*x^6-25200/8!*x^8... %R A012681 %O A012681 0,3 %K A012681 sign,done %A A012681 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012682 %S A012682 2,16,440,25856,2460448,335955200,62060029824,14940576792576, %T A012682 4555904588849664,1719063029232504832,787080093043649165312, %U A012682 430107147338505961406464,276606088476056370612084736 %V A012682 2,-16,440,-25856,2460448,-335955200,62060029824,-14940576792576, %W A012682 4555904588849664,-1719063029232504832,787080093043649165312, %X A012682 -430107147338505961406464,276606088476056370612084736 %N A012682 sinh(tanh(x)*arctan(x))=2/2!*x^2-16/4!*x^4+440/6!*x^6-25856/8!*x^8... %R A012682 %O A012682 0,1 %K A012682 sign,done %A A012682 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012683 %S A012683 2,16,200,1024,523232,36263680,7024697472,3839533326336, %T A012683 933770326393344,5856130402316288,153024990104004376576, %U A012683 83925295292036381278208,4161808298471932199182336 %V A012683 2,-16,200,1024,-523232,36263680,7024697472,-3839533326336, %W A012683 933770326393344,5856130402316288,-153024990104004376576, %X A012683 83925295292036381278208,4161808298471932199182336 %N A012683 arcsinh(tanh(x)*arctan(x))=2/2!*x^2-16/4!*x^4+200/6!*x^6+1024/8!*x^8... %R A012683 %O A012683 0,1 %K A012683 sign,done %A A012683 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012684 %S A012684 2,16,80,14464,1924352,182456320,4821633024,5022496751616, %T A012684 2274499602284544,641508042469015552,58440162971714846720, %U A012684 91048038738283980652544,93320295604487977397387264 %V A012684 2,-16,80,14464,-1924352,182456320,-4821633024,-5022496751616, %W A012684 2274499602284544,-641508042469015552,58440162971714846720, %X A012684 91048038738283980652544,-93320295604487977397387264 %N A012684 tanh(tanh(x)*arctan(x))=2/2!*x^2-16/4!*x^4+80/6!*x^6+14464/8!*x^8... %R A012684 %O A012684 0,1 %K A012684 sign,done %A A012684 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012685 %S A012685 1,0,12,480,28560,2595840,342910656,62365675008,14932846506240, %T A012685 4548435497041920,1716639310480919552,786314410657025941504, %U A012685 429828791337549223596032,276479195899367035140833280 %V A012685 1,0,12,-480,28560,-2595840,342910656,-62365675008,14932846506240, %W A012685 -4548435497041920,1716639310480919552,-786314410657025941504, %X A012685 429828791337549223596032,-276479195899367035140833280 %N A012685 cosh(tanh(x)*arctan(x))=1+12/4!*x^4-480/6!*x^6+28560/8!*x^8... %R A012685 %O A012685 0,3 %K A012685 sign,done %A A012685 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012686 %S A012686 1,0,12,480,35280,4208640,737643456,178203637248,56744323733760, %T A012686 23028982493429760,11602867906455268352,7105927543880909185024, %U A012686 5198792960623369943994368,4478214849312972324010721280 %V A012686 1,0,12,-480,35280,-4208640,737643456,-178203637248,56744323733760, %W A012686 -23028982493429760,11602867906455268352,-7105927543880909185024, %X A012686 5198792960623369943994368,-4478214849312972324010721280 %N A012686 sec(tanh(x)*arctan(x))=1+12/4!*x^4-480/6!*x^6+35280/8!*x^8... %R A012686 %O A012686 0,3 %K A012686 sign,done %A A012686 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012687 %S A012687 1,0,12,480,18480,176640,149396544,38742692352,6743113079040, %T A012687 363222941859840,455485254371044352,322516524038804660224, %U A012687 135316725169663246512128,19655917963465137568481280 %V A012687 1,0,-12,480,-18480,176640,149396544,-38742692352,6743113079040, %W A012687 -363222941859840,-455485254371044352,322516524038804660224, %X A012687 -135316725169663246512128,19655917963465137568481280 %N A012687 sech(tanh(x)*arctan(x))=1-12/4!*x^4+480/6!*x^6-18480/8!*x^8... %R A012687 %O A012687 0,3 %K A012687 sign,done %A A012687 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012688 %S A012688 1,4,0,576,8960,2566144,79073280,51695271936,3314973409280, %T A012688 3424245425373184,358564361388687360,553778978731900010496, %U A012688 86787459990613183692800,186450610504520626836865024 %V A012688 1,-4,0,576,8960,-2566144,-79073280,51695271936,3314973409280, %W A012688 -3424245425373184,-358564361388687360,553778978731900010496, %X A012688 86787459990613183692800,-186450610504520626836865024 %N A012688 arcsin(tanh(x)*cos(x))=x-4/3!*x^3+576/7!*x^7+8960/9!*x^9... %R A012688 %O A012688 0,2 %K A012688 sign,done %A A012688 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012689 %S A012689 1,7,165,10827,1316585,257028847,73616009805,29070305745267, %T A012689 15137914082015825,10050622525103392087,8286707825575406550645, %U A012689 8306718039292070745761307,9948875920938941746670110265 %V A012689 1,-7,165,-10827,1316585,-257028847,73616009805,-29070305745267, %W A012689 15137914082015825,-10050622525103392087,8286707825575406550645, %X A012689 -8306718039292070745761307,9948875920938941746670110265 %N A012689 arctan(tanh(x)*cos(x))=x-7/3!*x^3+165/5!*x^5-10827/7!*x^7... %R A012689 %O A012689 0,2 %K A012689 sign,done %A A012689 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012690 %S A012690 1,6,100,5096,523920,90215136,23393880640,8507435854976, %T A012690 4128617538965760,2577268751229359616,2011624742314369377280, %U A012690 1919388801470757636909056,2197928434387448658103603200 %V A012690 1,-6,100,-5096,523920,-90215136,23393880640,-8507435854976, %W A012690 4128617538965760,-2577268751229359616,2011624742314369377280, %X A012690 -1919388801470757636909056,2197928434387448658103603200 %N A012690 arcsinh(tanh(x)*cos(x))=x-6/3!*x^3+100/5!*x^5-5096/7!*x^7... %R A012690 %O A012690 0,2 %K A012690 sign,done %A A012690 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012691 %S A012691 1,1,15,57,13825,869711,32509455,15341387817,1155396011135, %T A012691 466737414209183,173446757621320305,4992444359346419481, %U A012691 27407671098104949154175,8541081671506270503758353 %V A012691 1,1,-15,57,13825,-869711,-32509455,15341387817,-1155396011135, %W A012691 -466737414209183,173446757621320305,4992444359346419481, %X A012691 -27407671098104949154175,8541081671506270503758353 %N A012691 sec(tanh(x)*cos(x))=1+1/2!*x^2-15/4!*x^4+57/6!*x^6+13825/8!*x^8... %R A012691 %O A012691 0,3 %K A012691 sign,done %A A012691 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012692 %S A012692 1,1,25,1057,81905,10280289,1887120585,476966767617,158890850697185, %T A012692 67468163508862017,35571148438980847225,22799419589275221917281, %U A012692 17459463801481355245128145,15743607861576351227073224353 %V A012692 1,-1,25,-1057,81905,-10280289,1887120585,-476966767617, %W A012692 158890850697185,-67468163508862017,35571148438980847225, %X A012692 -22799419589275221917281,17459463801481355245128145 %N A012692 sech(tanh(x)*cos(x))=1-1/2!*x^2+25/4!*x^4-1057/6!*x^6+81905/8!*x^8... %R A012692 %O A012692 0,3 %K A012692 sign,done %A A012692 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012693 %S A012693 2,4,178,5336,363002,51606124,2970605818,1739354509616,3370162346638, %T A012693 146251701849391444,20841577570771860542,24665031557633886866696, %U A012693 10649944278498283837904278,6931790914528050543414219964 %V A012693 2,-4,-178,5336,363002,-51606124,-2970605818,1739354509616, %W A012693 -3370162346638,-146251701849391444,20841577570771860542, %X A012693 24665031557633886866696,-10649944278498283837904278 %N A012693 arctan(tanh(x)*sinh(x))=2/2!*x^2-4/4!*x^4-178/6!*x^6+5336/8!*x^8... %R A012693 %O A012693 0,1 %K A012693 sign,done %A A012693 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012694 %S A012694 1,2,0,50,1400,35222,94556,170807390,38605204656,8791324177746, %T A012694 2481630462515900,912971947568647558,429970979043182394888, %U A012694 249025730862440011229306,171416914808317798189712276 %V A012694 1,2,0,-50,1400,-35222,94556,170807390,-38605204656,8791324177746, %W A012694 -2481630462515900,912971947568647558,-429970979043182394888, %X A012694 249025730862440011229306,-171416914808317798189712276 %N A012694 exp(tanh(x)*arcsinh(x))=1+2/2!*x^2-50/6!*x^6+1400/8!*x^8-35222/10!*x^10... %R A012694 %O A012694 0,2 %K A012694 sign,done %A A012694 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012695 %S A012695 2,12,50,14280,826502,49633540,25407386758,3395749736176, %T A012695 840874377633678,669385496489774468,130679263245845309250, %U A012695 109382532060795384014888,114810087622932492884439786 %V A012695 2,-12,-50,14280,-826502,-49633540,25407386758,-3395749736176, %W A012695 -840874377633678,669385496489774468,-130679263245845309250, %X A012695 -109382532060795384014888,114810087622932492884439786 %N A012695 arctan(tanh(x)*arcsinh(x))=2/2!*x^2-12/4!*x^4-50/6!*x^6+14280/8!*x^8... %R A012695 %O A012695 0,1 %K A012695 sign,done %A A012695 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012696 %S A012696 2,16,32,18944,1904128,41160704,41418432512,13226611572736, %T A012696 1026478445821952,1419327244545818624,990157599155377143808, %U A012696 185269154824838954614784,314145305969818487050207232 %V A012696 2,-16,32,18944,-1904128,41160704,41418432512,-13226611572736, %W A012696 1026478445821952,1419327244545818624,-990157599155377143808, %X A012696 185269154824838954614784,314145305969818487050207232 %N A012696 arctan(tanh(x)*tanh(x))=2/2!*x^2-16/4!*x^4+32/6!*x^6+18944/8!*x^8... %R A012696 %O A012696 0,1 %K A012696 sign,done %A A012696 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012697 %S A012697 1,0,2,3,28,110,1058,6804,75024,664488,8456712,94737720,1378535112, %T A012697 18587872368,305610292752,4802794952760,88232994448128, %U A012697 1580181612876864,32119507894881216,644756418530970624 %V A012697 1,0,2,-3,28,-110,1058,-6804,75024,-664488,8456712,-94737720, %W A012697 1378535112,-18587872368,305610292752,-4802794952760,88232994448128, %X A012697 -1580181612876864,32119507894881216,-644756418530970624 %N A012697 exp(arctanh(x)*log(x+1))=1+2/2!*x^2-3/3!*x^3+28/4!*x^4-110/5!*x^5... %R A012697 %O A012697 0,3 %K A012697 sign,done %A A012697 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012698 %S A012698 2,3,16,50,248,504,1584,94536,1464768,23328360,336539040,5198852880, %T A012698 79862710800,1306170600840,21763435223040,382939844024640, %U A012698 6915154663557120,130859230589792640,2544617326791778560 %V A012698 2,-3,16,-50,248,-504,-1584,94536,-1464768,23328360,-336539040, %W A012698 5198852880,-79862710800,1306170600840,-21763435223040, %X A012698 382939844024640,-6915154663557120,130859230589792640 %N A012698 sin(arctanh(x)*log(x+1))=2/2!*x^2-3/3!*x^3+16/4!*x^4-50/5!*x^5... %R A012698 %O A012698 0,1 %K A012698 sign,done %A A012698 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012699 %S A012699 2,3,16,50,488,3024,35376,313704,4361472,52901640,869275680, %T A012699 13360922640,252154734960,4681650438360,100596004131840, %U A012699 2186713427586240,52870374675586560,1312523172135192960 %V A012699 2,-3,16,-50,488,-3024,35376,-313704,4361472,-52901640,869275680, %W A012699 -13360922640,252154734960,-4681650438360,100596004131840, %X A012699 -2186713427586240,52870374675586560,-1312523172135192960 %N A012699 arcsin(arctanh(x)*log(x+1))=2/2!*x^2-3/3!*x^3+16/4!*x^4-50/5!*x^5... %R A012699 %O A012699 0,1 %K A012699 sign,done %A A012699 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012700 %S A012700 2,3,16,50,608,4284,53856,517824,7365312,93511440,1542037440, %T A012700 24197565600,452937477120,8397165641760,176769352058880, %U A012700 3770083289172480,88455117393715200,2127638031857717760 %V A012700 2,-3,16,-50,608,-4284,53856,-517824,7365312,-93511440,1542037440, %W A012700 -24197565600,452937477120,-8397165641760,176769352058880, %X A012700 -3770083289172480,88455117393715200,-2127638031857717760 %N A012700 tan(arctanh(x)*log(x+1))=2/2!*x^2-3/3!*x^3+16/4!*x^4-50/5!*x^5... %R A012700 %O A012700 0,1 %K A012700 sign,done %A A012700 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012701 %S A012701 2,3,16,50,128,756,20064,298656,3561408,38990160,310756800,467943840, %T A012701 66887172480,2183463747360,51505489029120,1001091175633920, %U A012701 15963926463621120,153477175865587200,2085831337950904320 %V A012701 2,-3,16,-50,128,756,-20064,298656,-3561408,38990160,-310756800, %W A012701 467943840,66887172480,-2183463747360,51505489029120, %X A012701 -1001091175633920,15963926463621120,-153477175865587200 %N A012701 arctan(atanh(x)*log(x+1))=2/2!*x^2-3/3!*x^3+16/4!*x^4-50/5!*x^5... %R A012701 %O A012701 0,1 %K A012701 sign,done %A A012701 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012702 %S A012702 1,0,0,0,12,60,570,3780,36288,290304,3077160,27976080,325364952, %T A012702 3125330208,38076353952,320524495200,3277240862208,12892686066816, %U A012702 851147013155904,38579486635656576,1000229709289596288 %V A012702 1,0,0,0,-12,60,-570,3780,-36288,290304,-3077160,27976080,-325364952, %W A012702 3125330208,-38076353952,320524495200,-3277240862208,-12892686066816, %X A012702 851147013155904,-38579486635656576,1000229709289596288 %N A012702 cos(arctanh(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-570/6!*x^6+3780/7!*x^7... %R A012702 %O A012702 0,5 %K A012702 sign,done %A A012702 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012703 %S A012703 2,3,16,50,488,3024,35376,313704,4119552,46248840,682997280, %T A012703 9209575440,152505104880,2394128401560,44145984906240, %U A012703 789552273397440,16082343831221760,322420285049880960 %V A012703 2,-3,16,-50,488,-3024,35376,-313704,4119552,-46248840,682997280, %W A012703 -9209575440,152505104880,-2394128401560,44145984906240, %X A012703 -789552273397440,16082343831221760,-322420285049880960 %N A012703 sinh(arctanh(x)*log(x+1))=2/2!*x^2-3/3!*x^3+16/4!*x^4-50/5!*x^5... %R A012703 %O A012703 0,1 %K A012703 sign,done %A A012703 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012704 %S A012704 2,3,16,50,248,504,1584,94536,1222848,16675560,150260640,1047505680, %T A012704 12037737840,574519410360,16243532175360,341049918471360, %U A012704 6341386354483200,86729688288097920,452837960565661440 %V A012704 2,-3,16,-50,248,-504,-1584,94536,-1222848,16675560,-150260640, %W A012704 1047505680,12037737840,-574519410360,16243532175360, %X A012704 -341049918471360,6341386354483200,-86729688288097920 %N A012704 arcsinh(arctanh(x)*log(x+1))=2/2!*x^2-3/3!*x^3+16/4!*x^4-50/5!*x^5... %R A012704 %O A012704 0,1 %K A012704 sign,done %A A012704 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012705 %S A012705 2,3,16,50,608,4284,53856,517824,7607232,100164240,1728315840, %T A012705 28348912800,556461697920,10888103691360,242440897198080, %U A012705 5503830139207680,137385752450058240,3536219373095508480 %V A012705 2,-3,16,-50,608,-4284,53856,-517824,7607232,-100164240,1728315840, %W A012705 -28348912800,556461697920,-10888103691360,242440897198080, %X A012705 -5503830139207680,137385752450058240,-3536219373095508480 %N A012705 arctanh(atanh(x)*log(x+1))=2/2!*x^2-3/3!*x^3+16/4!*x^4-50/5!*x^5... %R A012705 %O A012705 0,1 %K A012705 sign,done %A A012705 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012706 %S A012706 1,0,0,0,12,60,570,3780,39648,350784,4337160,48488880,695537832, %T A012706 9378296928,153105187872,2408666551200,44087009541888, %U A012706 790629339479424,16037164063659456,322336133481089664 %V A012706 1,0,0,0,12,-60,570,-3780,39648,-350784,4337160,-48488880,695537832, %W A012706 -9378296928,153105187872,-2408666551200,44087009541888, %X A012706 -790629339479424,16037164063659456,-322336133481089664 %N A012706 cosh(arctanh(x)*log(x+1))=1+12/4!*x^4-60/5!*x^5+570/6!*x^6... %R A012706 %O A012706 0,5 %K A012706 sign,done %A A012706 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012707 %S A012707 1,0,0,0,12,60,570,3780,46368,471744,6857160,89514480,1475800392, %T A012707 23440985568,439465502112,8219543623200,173360899246848, %U A012707 3717086730616704,87324245398685376,2107273746888226944 %V A012707 1,0,0,0,12,-60,570,-3780,46368,-471744,6857160,-89514480, %W A012707 1475800392,-23440985568,439465502112,-8219543623200, %X A012707 173360899246848,-3717086730616704,87324245398685376 %N A012707 sec(arctanh(x)*log(x+1))=1+12/4!*x^4-60/5!*x^5+570/6!*x^6-3780/7!*x^7... %R A012707 %O A012707 0,5 %K A012707 sign,done %A A012707 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012708 %S A012708 1,0,0,0,12,60,570,3780,29568,169344,557160,13049520,375064008, %T A012708 7823848032,135678667488,2221166656800,32120158935552, %U A012708 397914002426496,2522488580207424,61215640433391744 %V A012708 1,0,0,0,-12,60,-570,3780,-29568,169344,-557160,-13049520,375064008, %W A012708 -7823848032,135678667488,-2221166656800,32120158935552, %X A012708 -397914002426496,2522488580207424,61215640433391744 %N A012708 sech(arctanh(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-570/6!*x^6... %R A012708 %O A012708 0,5 %K A012708 sign,done %A A012708 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012709 %S A012709 1,1,3,12,57,340,2305,18186,158977,1560840,16695553,196272142, %T A012709 2483596577,34036624700,497515462561,7792454528002,129248702613505, %U A012709 2278494692749840,42291311707716609,828953188249846678 %N A012709 exp(arctanh(x)*exp(x))=1+x+3/2!*x^2+12/3!*x^3+57/4!*x^4+340/5!*x^5... %R A012709 %O A012709 0,3 %K A012709 nonn %A A012709 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012710 %S A012710 1,2,4,0,60,680,5504,45696,356080,2998112,23985216,210124288, %T A012710 1616818112,13420660864,52229820928,283969097728,28575615328512, %U A012710 648822348255744,17074162547880960,350789663754797056 %V A012710 1,2,4,0,-60,-680,-5504,-45696,-356080,-2998112,-23985216,-210124288, %W A012710 -1616818112,-13420660864,-52229820928,283969097728,28575615328512, %X A012710 648822348255744,17074162547880960,350789663754797056 %N A012710 sin(arctanh(x)*exp(x))=x+2/2!*x^2+4/3!*x^3-60/5!*x^5-680/6!*x^6... %R A012710 %O A012710 0,2 %K A012710 sign,done %A A012710 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012711 %S A012711 1,2,6,24,168,1360,14280,170688,2420096,38403328,687737600, %T A012711 13562531840,293985622656,6920272523008,176170136886016, %U A012711 4816418604806144,140839702493749248,4384422821203968000 %N A012711 arcsin(arctanh(x)*exp(x))=x+2/2!*x^2+6/3!*x^3+24/4!*x^4+168/5!*x^5... %R A012711 %O A012711 0,2 %K A012711 nonn %A A012711 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012712 %S A012712 1,2,7,36,285,2470,25891,304584,4116473,61307338,1011045759, %T A012712 18130445036,353222430613,7401849057902,166375042595867, %U A012712 3987022624401808,101564702642995953,2738893925584229778 %N A012712 tan(arctanh(x)*exp(x))=x+2/2!*x^2+7/3!*x^3+36/4!*x^4+285/5!*x^5... %R A012712 %O A012712 0,2 %K A012712 nonn %A A012712 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012713 %S A012713 1,2,3,12,147,890,63,76776,1130489,6587338,92728933,3395342500, %T A012713 47724446811,11416580786,18058083754519,494993369091536, %U A012713 5229048665015409,122759838344591214,7368934381520578637 %V A012713 1,2,3,-12,-147,-890,63,76776,1130489,6587338,-92728933,-3395342500, %W A012713 -47724446811,-11416580786,18058083754519,494993369091536, %X A012713 5229048665015409,-122759838344591214,-7368934381520578637 %N A012713 arctan(atanh(x)*exp(x))=x+2/2!*x^2+3/3!*x^3-12/4!*x^4-147/5!*x^5... %R A012713 %O A012713 0,2 %K A012713 sign,done %A A012713 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012714 %S A012714 1,0,1,6,31,140,625,2170,2623,96072,1642975,23520882,295668001, %T A012714 3935469564,50912723823,723034935870,10169862858113,159490471907856, %U A012714 2472265829827775,43176564012771434,736782598698932833 %V A012714 1,0,-1,-6,-31,-140,-625,-2170,-2623,96072,1642975,23520882, %W A012714 295668001,3935469564,50912723823,723034935870,10169862858113, %X A012714 159490471907856,2472265829827775,43176564012771434 %N A012714 cos(arctanh(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-31/4!*x^4-140/5!*x^5... %R A012714 %O A012714 0,4 %K A012714 sign,done %A A012714 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012715 %S A012715 1,2,6,24,160,1120,9296,79744,791232,8303488,98662784,1234416128, %T A012715 17090231808,247660907520,3911062116352,64395491606528, %U A012715 1142963925405696,21081499860049920,415641154415091712 %N A012715 sinh(arctanh(x)*exp(x))=x+2/2!*x^2+6/3!*x^3+24/4!*x^4+160/5!*x^5... %R A012715 %O A012715 0,2 %K A012715 nonn %A A012715 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012716 %S A012716 1,2,4,0,52,440,968,20160,407248,3393568,7743232,873283840, %T A012716 15700243392,92423547008,3404251259008,126748437358592, %U A012716 1959254285705472,9945595116842496,1499843474292945920 %V A012716 1,2,4,0,-52,-440,-968,20160,407248,3393568,-7743232,-873283840, %W A012716 -15700243392,-92423547008,3404251259008,126748437358592, %X A012716 1959254285705472,-9945595116842496,-1499843474292945920 %N A012716 arcsinh(arctanh(x)*exp(x))=x+2/2!*x^2+4/3!*x^3-52/5!*x^5-440/6!*x^6... %R A012716 %O A012716 0,2 %K A012716 sign,done %A A012716 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012717 %S A012717 1,2,7,36,293,2710,31099,408072,6199465,105183658,1990233551, %T A012717 41337728300,937722749325,23029648705726,609300643351555, %U A012717 17268619403747600,522102791124578001,16771008730706230098 %N A012717 arctanh(atanh(x)*exp(x))=x+2/2!*x^2+7/3!*x^3+36/4!*x^4+293/5!*x^5... %R A012717 %O A012717 0,2 %K A012717 nonn %A A012717 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012718 %S A012718 1,0,1,6,33,180,1185,8890,79233,769608,8392065,97609358,1249180449, %T A012718 16946392892,249854555041,3881392411650,64853211006977, %U A012718 1135530767344144,21209811847666689,413312033834754966 %N A012718 cosh(arctanh(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+33/4!*x^4+180/5!*x^5... %R A012718 %O A012718 0,4 %K A012718 nonn %A A012718 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012719 %S A012719 1,0,1,6,37,260,2365,24850,301033,4051848,60901145,1003420638, %T A012719 18072389069,352027414284,7390186076949,166110699895530, %U A012719 3983896292586577,101488729722338064,2737830394817774257 %N A012719 sec(arctanh(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+37/4!*x^4+260/5!*x^5... %R A012719 %O A012719 0,4 %K A012719 nonn %A A012719 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012720 %S A012720 1,0,1,6,27,60,435,8750,84777,475272,2114745,106313438,1794336819, %T A012720 17317361204,18165128891,5261034602070,135408683857873, %U A012720 2003263412796176,6167034429608463,699433926727865526 %V A012720 1,0,-1,-6,-27,-60,435,8750,84777,475272,-2114745,-106313438, %W A012720 -1794336819,-17317361204,18165128891,5261034602070,135408683857873, %X A012720 2003263412796176,6167034429608463,-699433926727865526 %N A012720 sech(arctanh(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-27/4!*x^4-60/5!*x^5... %R A012720 %O A012720 0,4 %K A012720 sign,done %A A012720 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012721 %S A012721 1,2,16,350,16280,1280458,151282316,25067231982,5547679327632, %T A012721 1580745016902930,563647979697490836,245869122688036168950, %U A012721 128799713392548410995032,79791827954988156443060506 %N A012721 exp(arctanh(x)*sin(x))=1+2/2!*x^2+16/4!*x^4+350/6!*x^6+16280/8!*x^8... %R A012721 %O A012721 0,2 %K A012721 nonn %A A012721 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012722 %S A012722 2,4,10,1160,267178,25749260,1675836318,292637394192,163260945099858, %T A012722 64904840292491284,19017877552509443654,7018293499345186438552, %U A012722 5539610614858975449636346,4827932520196490662355535644 %V A012722 2,4,-10,1160,267178,25749260,1675836318,292637394192, %W A012722 163260945099858,64904840292491284,19017877552509443654, %X A012722 7018293499345186438552,5539610614858975449636346 %N A012722 arcsinh(arctanh(x)*sin(x))=2/2!*x^2+4/4!*x^4-10/6!*x^6+1160/8!*x^8... %R A012722 %O A012722 0,1 %K A012722 sign,done %A A012722 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012723 %S A012723 1,2,24,718,40040,3586122,470928612,85257985902,20354196606768, %T A012723 6195953068191762,2342416197502447932,1076777305129376444790, %U A012723 591474826398069745456200,382625479333794154176056730 %N A012723 exp(arctanh(x)*arcsin(x))=1+2/2!*x^2+24/4!*x^4+718/6!*x^6+40040/8!*x^8... %R A012723 %O A012723 0,2 %K A012723 nonn %A A012723 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012724 %S A012724 2,12,358,19992,1791882,235396260,42624803310,10177141489200, %T A012724 3098164254001170,1171315364214109500,538446859100064311670, %U A012724 295771765211446451586120,191335531681410403898936730 %N A012724 sinh(arctanh(x)*arcsin(x))=2/2!*x^2+12/4!*x^4+358/6!*x^6+19992/8!*x^8... %R A012724 %O A012724 0,1 %K A012724 nonn %A A012724 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012725 %S A012725 1,2,28,920,54416,5056288,678865856,124425704832,29873423298816, %T A012725 9104340085891584,3435702339713424384,1573394503700675106816, %U A012725 859935938676055185002496,553085284375423405752918016 %N A012725 exp(arctanh(x)*tan(x))=1+2/2!*x^2+28/4!*x^4+920/6!*x^6+54416/8!*x^8... %R A012725 %O A012725 0,2 %K A012725 nonn %A A012725 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012726 %S A012726 2,16,560,39296,4768768,881315840,230827284480,81324940394496, %T A012726 37097190468747264,21272100905987080192,14977571327515946909696, %U A012726 12703902924309766749552640,12776509288228175937154318336 %N A012726 arctanh(atanh(x)*tan(x))=2/2!*x^2+16/4!*x^4+560/6!*x^6+39296/8!*x^8... %R A012726 %O A012726 0,1 %K A012726 nonn %A A012726 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012727 %S A012727 1,2,12,328,13328,1160352,123701952,22207125120,4532782825728, %T A012727 1380071532433920,459909185638812672,212375023941305272320, %U A012727 104929881035116227072000,68350141067274779587092480 %N A012727 exp(arctanh(x)*atan(x))=1+2/2!*x^2+12/4!*x^4+328/6!*x^6+13328/8!*x^8... %R A012727 %O A012727 0,2 %K A012727 nonn %A A012727 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012728 %S A012728 2,88,112032,339519360,45065746337280,13641523340876605440, %T A012728 5909672857101969499054080,4213934311138261721595771125760 %V A012728 2,88,112032,339519360,-45065746337280,-13641523340876605440, %W A012728 -5909672857101969499054080,-4213934311138261721595771125760 %X A012728 %N A012728 sin(arctanh(x)*atan(x))=2/2!*x^2+88/6!*x^6+112032/10!*x^10... %R A012728 %O A012728 0,1 %K A012728 sign,done %A A012728 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012729 %S A012729 2,328,1402272,34476662400,2862572968849920,606547177566513039360, %T A012729 275433333396552433711226880,237761902453820639998996848476160 %N A012729 arcsin(arctanh(x)*atan(x))=2/2!*x^2+328/6!*x^6+1402272/10!*x^10... %R A012729 %O A012729 0,1 %K A012729 nonn %A A012729 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012730 %S A012730 2,448,2138112,53551718400,4262315839979520,826978943730607718400, %T A012730 331594807758028302723317760,245412719115132295441404238233600 %N A012730 tan(arctanh(x)*atan(x))=2/2!*x^2+448/6!*x^6+2138112/10!*x^10... %R A012730 %O A012730 0,1 %K A012730 nonn %A A012730 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012731 %S A012731 2,32,283392,1121740800,157951397068800,14184297129466920960, %T A012731 5248874425245870210416640,2544005109030684773416383283200 %V A012731 2,-32,283392,1121740800,157951397068800,14184297129466920960, %W A012731 5248874425245870210416640,2544005109030684773416383283200 %X A012731 %N A012731 arctan(atanh(x)*atan(x))=2/2!*x^2-32/6!*x^6+283392/10!*x^10... %R A012731 %O A012731 0,1 %K A012731 sign,done %A A012731 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012732 %S A012732 1,12,9968,77575872,2494079278848,227607911866125312, %T A012732 47454799045677121597440,19613396255307422099013550080, %U A012732 14538029942147907114791552602275840 %V A012732 1,-12,-9968,-77575872,-2494079278848,-227607911866125312, %W A012732 -47454799045677121597440,-19613396255307422099013550080, %X A012732 -14538029942147907114791552602275840 %N A012732 cos(arctanh(x)*atan(x))=1-12/4!*x^4-9968/8!*x^8-77575872/12!*x^12... %R A012732 %O A012732 0,2 %K A012732 sign,done %A A012732 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012733 %S A012733 2,88,353952,4859875200,286589256061440,38349390501320693760, %T A012733 11520524205295446001950720,6360705742909296331970308177920 %N A012733 arcsinh(arctanh(x)*atan(x))=2/2!*x^2+88/6!*x^6+353952/10!*x^10... %R A012733 %O A012733 0,1 %K A012733 nonn %A A012733 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012734 %S A012734 2,448,2380032,69695846400,6697099792220160,1606188416621920911360, %T A012734 810882197441673837894696960,766865924510666637669136261447680 %N A012734 arctanh(atanh(x)*atan(x))=2/2!*x^2+448/6!*x^6+2380032/10!*x^10... %R A012734 %O A012734 0,1 %K A012734 nonn %A A012734 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012735 %S A012735 1,12,13328,123701952,4532782825728,459909185638812672, %T A012735 104929881035116227072000,46932023772320615610531102720 %N A012735 cosh(arctanh(x)*atan(x))=1+12/4!*x^4+13328/8!*x^8+123701952/12!*x^12... %R A012735 %O A012735 0,2 %K A012735 nonn %A A012735 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012736 %S A012736 1,12,20048,255870912,12348478073088,1607757077354376192, %T A012736 462465118290965584465920,257450488580368515571587072000, %U A012736 252414780430562625969597955397713920 %N A012736 sec(arctanh(x)*atan(x))=1+12/4!*x^4+20048/8!*x^8+255870912/12!*x^12... %R A012736 %O A012736 0,2 %K A012736 nonn %A A012736 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012737 %S A012737 1,12,3248,25240512,722745554688,61363036297915392, %T A012737 12105663188188359045120,4791193110632356981925068800 %V A012737 1,-12,-3248,-25240512,-722745554688,-61363036297915392, %W A012737 -12105663188188359045120,-4791193110632356981925068800 %X A012737 %N A012737 sech(arctanh(x)*atan(x))=1-12/4!*x^4-3248/8!*x^8-25240512/12!*x^12... %R A012737 %O A012737 0,2 %K A012737 sign,done %A A012737 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012738 %S A012738 1,1,1,0,3,0,45,504,2457,24384,161625,2375296,20549397,338479232, %T A012738 3457938757,64501554688,772773915313,16130341302272,221864504883633, %U A012738 5112670099460096,79479234590193325,2003580047549120512 %V A012738 1,1,1,0,-3,0,45,504,2457,24384,161625,2375296,20549397,338479232, %W A012738 3457938757,64501554688,772773915313,16130341302272,221864504883633, %X A012738 5112670099460096,79479234590193325,2003580047549120512 %N A012738 exp(arctanh(x)*cos(x))=1+x+1/2!*x^2-3/4!*x^4+45/6!*x^6+504/7!*x^7... %R A012738 %O A012738 0,5 %K A012738 sign,done %A A012738 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012739 %S A012739 1,2,20,16,14096,887456,126998976,21834514688,5067177011456, %T A012739 1485621376751104,540527763829711872,238770291840873000960, %U A012739 125924968135743519723520,78156500138405011699867648 %V A012739 1,-2,20,-16,14096,887456,126998976,21834514688,5067177011456, %W A012739 1485621376751104,540527763829711872,238770291840873000960, %X A012739 125924968135743519723520,78156500138405011699867648 %N A012739 sin(arctanh(x)*cos(x))=x-2/3!*x^3+20/5!*x^5-16/7!*x^7+14096/9!*x^9... %R A012739 %O A012739 0,2 %K A012739 sign,done %A A012739 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012740 %S A012740 1,0,8,448,32384,3363712,498146816,101255683072,27100382101504, %T A012740 9228615461568512,3895169435932917760,1996505925721071157248, %U A012740 1222138138975234336751616,880971359478741744513712128 %N A012740 arcsin(arctanh(x)*cos(x))=x+8/5!*x^5+448/7!*x^7+32384/9!*x^9... %R A012740 %O A012740 0,3 %K A012740 nonn %A A012740 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012741 %S A012741 1,1,5,509,44393,4436441,630529965,126873147413,33552906028625, %T A012741 11170776120292657,4582643056340650197,2275243986686803354029, %U A012741 1344475182597566546716345,932197702028175163027746313 %N A012741 tan(arctanh(x)*cos(x))=x+1/3!*x^3+5/5!*x^5+509/7!*x^7+44393/9!*x^9... %R A012741 %O A012741 0,3 %K A012741 nonn %A A012741 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012742 %S A012742 1,3,53,1799,154985,16589771,3172731677,721614303695,241340829836497, %T A012742 94965599172723859,49224836859318783493,29702702631352493918103, %U A012742 22109389701103652762325561,18928043482223039674124197467 %V A012742 1,-3,53,-1799,154985,-16589771,3172731677,-721614303695, %W A012742 241340829836497,-94965599172723859,49224836859318783493, %X A012742 -29702702631352493918103,22109389701103652762325561 %N A012742 arctan(atanh(x)*cos(x))=x-3/3!*x^3+53/5!*x^5-1799/7!*x^7... %R A012742 %O A012742 0,2 %K A012742 sign,done %A A012742 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012743 %S A012743 1,1,5,85,887,145865,14963507,2554796829,556819358703, %T A012743 157094249035537,55286734778859115,23786315258989816933, %U A012743 12282781149659030865767,7498816363839210619416025 %V A012743 1,-1,5,-85,-887,-145865,-14963507,-2554796829,-556819358703, %W A012743 -157094249035537,-55286734778859115,-23786315258989816933, %X A012743 -12282781149659030865767,-7498816363839210619416025 %N A012743 cos(arctanh(x)*cos(x))=1-1/2!*x^2+5/4!*x^4-85/6!*x^6-887/8!*x^8... %R A012743 %O A012743 0,3 %K A012743 sign,done %A A012743 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012744 %S A012744 1,0,0,504,24384,2375296,338479232,64501554688,16130341302272, %T A012744 5112670099460096,2003580047549120512,951418445045046378496, %U A012744 538352433444301745848320,357916525207050277213175808 %N A012744 sinh(arctanh(x)*cos(x))=x+504/7!*x^7+24384/9!*x^9+2375296/11!*x^11... %R A012744 %O A012744 0,4 %K A012744 nonn %A A012744 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012745 %S A012745 1,2,28,520,59728,3842720,963273920,151564390016,60786495498496, %T A012745 18563464667034112,10709479914780654592,5442000735745663911936, %U A012745 4284121800522638439469056,3262273090906052050909765632 %V A012745 1,-2,28,-520,59728,-3842720,963273920,-151564390016,60786495498496, %W A012745 -18563464667034112,10709479914780654592,-5442000735745663911936, %X A012745 4284121800522638439469056,-3262273090906052050909765632 %N A012745 arcsinh(arctanh(x)*cos(x))=x-2/3!*x^3+28/5!*x^5-520/7!*x^7+59728/9!*x^9... %R A012745 %O A012745 0,2 %K A012745 sign,done %A A012745 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012746 %S A012746 1,1,13,677,54937,6248713,988579109,212756765101,60179200959793, %T A012746 21632158018229009,9619077100099258429,5182270736688171740085, %U A012746 3326876613520624630798281,2509818428217896837411045913 %N A012746 arctanh(atanh(x)*cos(x))=x+1/3!*x^3+13/5!*x^5+677/7!*x^7+54937/9!*x^9... %R A012746 %O A012746 0,3 %K A012746 nonn %A A012746 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012747 %S A012747 1,1,3,45,2457,161625,20549397,3457938757,772773915313, %T A012747 221864504883633,79479234590193325,34768359140993612893, %U A012747 18241340561609524790601,11306811847252896133698825 %V A012747 1,1,-3,45,2457,161625,20549397,3457938757,772773915313, %W A012747 221864504883633,79479234590193325,34768359140993612893, %X A012747 18241340561609524790601,11306811847252896133698825 %N A012747 cosh(arctanh(x)*cos(x))=1+1/2!*x^2-3/4!*x^4+45/6!*x^6+2457/8!*x^8... %R A012747 %O A012747 0,3 %K A012747 sign,done %A A012747 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012748 %S A012748 1,1,1,25,3617,340145,40490657,7034559753,1668333374913, %T A012748 504856533178465,189500285350524865,86696156445549770233, %U A012748 47524548345395009982689,30739504895562596416971025 %N A012748 sec(arctanh(x)*cos(x))=1+1/2!*x^2+1/4!*x^4+25/6!*x^6+3617/8!*x^8... %R A012748 %O A012748 0,4 %K A012748 nonn %A A012748 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012749 %S A012749 1,1,9,225,6993,592545,38019993,7568120833,704958936737, %T A012749 307874830583745,28902473366214185,31727751790145150113, %U A012749 1072204316646061940721,7192967681050724533661025 %V A012749 1,-1,9,-225,6993,-592545,38019993,-7568120833,704958936737, %W A012749 -307874830583745,28902473366214185,-31727751790145150113, %X A012749 1072204316646061940721,-7192967681050724533661025 %N A012749 sech(arctanh(x)*cos(x))=1-1/2!*x^2+9/4!*x^4-225/6!*x^6+6993/8!*x^8... %R A012749 %O A012749 0,3 %K A012749 sign,done %A A012749 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012750 %S A012750 1,2,24,670,34664,2889898,355793636,60839374622,13810040271408, %T A012750 4019737531147986,1460034627147106108,647382654230985522694, %U A012750 344160751932393939417288,216083913094173247176675386 %N A012750 exp(arctanh(x)*sinh(x))=1+2/2!*x^2+24/4!*x^4+670/6!*x^6+34664/8!*x^8... %R A012750 %O A012750 0,2 %K A012750 nonn %A A012750 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012751 %S A012751 2,12,430,27384,2844538,444855620,96566466022,27798112443248, %T A012751 10239758940342642,4695120560496345596,2621628020059813754526, %U A012751 1751011006876497963996520,1378272807335260827405511146 %N A012751 tan(arctanh(x)*sinh(x))=2/2!*x^2+12/4!*x^4+430/6!*x^6+27384/8!*x^8... %R A012751 %O A012751 0,1 %K A012751 nonn %A A012751 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012752 %S A012752 1,2,16,398,18072,1465962,169054092,28688618814,6235376638608, %T A012752 1810793539845714,636329871517885332,282006422882452989030, %U A012752 145933818284739352119000,91644646853849910546846330 %N A012752 exp(arctanh(x)*arcsinh(x))=1+2/2!*x^2+16/4!*x^4+398/6!*x^6+18072/8!*x^8... %R A012752 %O A012752 0,2 %K A012752 nonn %A A012752 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012753 %S A012753 2,4,398,10344,1808442,161718060,45246852870,8895239749200, %T A012753 3696108480038130,1280274899653919700,747254995555318476030, %U A012753 400947704397371982315960,314940075899759001168711210 %N A012753 tan(arctanh(x)*arcsinh(x))=2/2!*x^2+4/4!*x^4+398/6!*x^6+10344/8!*x^8... %R A012753 %O A012753 0,1 %K A012753 nonn %A A012753 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012754 %S A012754 1,2,12,280,13328,1016608,120249536,19735743872,4349101334784, %T A012754 1233253332705792,437938810884459520,190333673674118699008, %U A012754 99369086035110941036544,61369835997419856216006656 %N A012754 exp(arctanh(x)*tanh(x))=1+2/2!*x^2+12/4!*x^4+280/6!*x^6+13328/8!*x^8... %R A012754 %O A012754 0,2 %K A012754 nonn %A A012754 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012755 %S A012755 2,0,400,2688,1631488,60938240,35243972608,3826154307584, %T A012755 2477263324839936,571708399442198528,435722170330996801536, %U A012755 177081722613295659089920,162107313371111569999527936 %N A012755 tan(arctanh(x)*tanh(x))=2/2!*x^2+400/6!*x^6+2688/8!*x^8... %R A012755 %O A012755 0,1 %K A012755 nonn %A A012755 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012756 %S A012756 1,2,28,968,61584,6221472,912779712,183144253056,48126940270848, %T A012756 16031131073204736,6598147635721116672,3287285755024478177280, %U A012756 1949289186179973455646720,1356446896562442205265633280 %N A012756 exp(arctanh(x)*atanh(x))=1+2/2!*x^2+28/4!*x^4+968/6!*x^6+61584/8!*x^8... %R A012756 %O A012756 0,2 %K A012756 nonn %A A012756 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012757 %S A012757 2,16,608,43776,5248512,937297920,232869949440,76704079872000, %T A012757 32321764442112000,16950418888812134400,10823130351189900656640, %U A012757 8265103101463254238494720,7437225349735123409814159360 %N A012757 tan(arctanh(x)*atanh(x))=2/2!*x^2+16/4!*x^4+608/6!*x^6+43776/8!*x^8... %R A012757 %O A012757 0,1 %K A012757 nonn %A A012757 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012758 %S A012758 1,1,6,18,123,855,8610,92540,1220765,17627085,291506270,5265113502, %T A012758 105134332743,2272750891411,53258927842666,1338863892701400, %U A012758 36033888424535961,1032074699069841561,31373428639439697910 %V A012758 1,-1,6,-18,123,-855,8610,-92540,1220765,-17627085,291506270, %W A012758 -5265113502,105134332743,-2272750891411,53258927842666, %X A012758 -1338863892701400,36033888424535961,-1032074699069841561 %N A012758 arcsin(cosh(x)*log(x+1))=x-1/2!*x^2+6/3!*x^3-18/4!*x^4+123/5!*x^5... %R A012758 %O A012758 0,3 %K A012758 sign,done %A A012758 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012759 %S A012759 1,1,3,0,57,405,1827,4424,223541,2901285,19263167,121524216, %T A012759 6372341445,112206095729,915357416711,12418256340720,674275623382473, %U A012759 14438518400518281,129951850481453275,3293210683314841040 %V A012759 1,-1,3,0,-57,405,-1827,-4424,223541,-2901285,19263167,121524216, %W A012759 -6372341445,112206095729,-915357416711,-12418256340720, %X A012759 674275623382473,-14438518400518281,129951850481453275 %N A012759 arctan(cosh(x)*log(x+1))=x-1/2!*x^2+3/3!*x^3-57/5!*x^5+405/6!*x^6... %R A012759 %O A012759 0,3 %K A012759 sign,done %A A012759 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012760 %S A012760 1,1,4,6,7,135,968,1764,58669,1068885,10920908,41078730,1105690419, %T A012760 31085174939,413045671712,692738905320,126897371107929, %U A012760 3901725279332361,61836650105641300,52537696659319150 %V A012760 1,-1,4,-6,-7,135,-968,1764,58669,-1068885,10920908,-41078730, %W A012760 -1105690419,31085174939,-413045671712,692738905320,126897371107929, %X A012760 -3901725279332361,61836650105641300,-52537696659319150 %N A012760 arcsinh(cosh(x)*log(x+1))=x-1/2!*x^2+4/3!*x^3-6/4!*x^4-7/5!*x^5... %R A012760 %O A012760 0,3 %K A012760 sign,done %A A012760 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012761 %S A012761 1,1,7,24,203,1575,17869,208152,2978653,45883485,806530811, %T A012761 15347080848,321642878919,7260372461251,177107309744065, %U A012761 4619185786492560,128667734086725657,3805156334531373561 %V A012761 1,-1,7,-24,203,-1575,17869,-208152,2978653,-45883485,806530811, %W A012761 -15347080848,321642878919,-7260372461251,177107309744065, %X A012761 -4619185786492560,128667734086725657,-3805156334531373561 %N A012761 arctanh(cosh(x)*log(x+1))=x-1/2!*x^2+7/3!*x^3-24/4!*x^4+203/5!*x^5... %R A012761 %O A012761 0,3 %K A012761 sign,done %A A012761 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012762 %S A012762 1,0,1,3,28,160,1510,13860,162188,2015928,28741220,442050620, %T A012762 7490417768,136676535840,2694128185424,56789020808520, %U A012762 1278027412615632,30539597036104512,772903901239459408 %V A012762 1,0,1,-3,28,-160,1510,-13860,162188,-2015928,28741220,-442050620, %W A012762 7490417768,-136676535840,2694128185424,-56789020808520, %X A012762 1278027412615632,-30539597036104512,772903901239459408 %N A012762 sec(cosh(x)*log(x+1))=1+1/2!*x^2-3/3!*x^3+28/4!*x^4-160/5!*x^5... %R A012762 %O A012762 0,4 %K A012762 sign,done %A A012762 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012763 %S A012763 1,0,1,3,18,60,60,1890,31472,319032,2369280,6374280,209401368, %T A012763 5594400240,90523285944,1016295254520,3922383447232,184920315173888, %U A012763 6878045401558272,151394798389814208,2273501069421660160 %V A012763 1,0,-1,3,-18,60,-60,-1890,31472,-319032,2369280,-6374280,-209401368, %W A012763 5594400240,-90523285944,1016295254520,-3922383447232, %X A012763 -184920315173888,6878045401558272,-151394798389814208 %N A012763 sech(cosh(x)*log(x+1))=1-1/2!*x^2+3/3!*x^3-18/4!*x^4+60/5!*x^5... %R A012763 %O A012763 0,4 %K A012763 sign,done %A A012763 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012764 %S A012764 1,3,25,1043,72465,8621283,1524721705,377210665523,124306024835745, %T A012764 52632893869133763,27845178915137542585,17999274225229924466003, %U A012764 13958549668775664990210225,12790824660557018843352942243 %N A012764 arcsin(cosh(x)*sin(x))=x+3/3!*x^3+25/5!*x^5+1043/7!*x^7+72465/9!*x^9... %R A012764 %O A012764 0,2 %K A012764 nonn %A A012764 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012765 %S A012765 1,1,1,5,17,65,385,2221,15073,119873,1010945,9786229,101590513, %T A012765 1171166529,14396384769,194493711517,2765830859457,42939774236801, %U A012765 694784293696513,12195226930738277,221386930443511505 %N A012765 exp(cosh(x)*arcsin(x))=1+x+1/2!*x^2+5/3!*x^3+17/4!*x^4+65/5!*x^5... %R A012765 %O A012765 0,4 %K A012765 nonn %A A012765 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012766 %S A012766 1,3,15,1029,46239,2582701,223494895,31551766453,6578644464703, %T A012766 1828823841664733,641975997431127503,276576165893943654373, %U A012766 143429494944516129401055,88139150252441009278574733 %V A012766 1,3,-15,-1029,-46239,-2582701,-223494895,-31551766453, %W A012766 -6578644464703,-1828823841664733,-641975997431127503, %X A012766 -276576165893943654373,-143429494944516129401055 %N A012766 sin(cosh(x)*arcsin(x))=x+3/3!*x^3-15/5!*x^5-1029/7!*x^7-46239/9!*x^9... %R A012766 %O A012766 0,2 %K A012766 sign,done %A A012766 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012767 %S A012767 1,3,35,1057,59865,5446683,726781835,133713611977,32440474082865, %T A012767 10034804733270963,3854719922524818035,1800259494456990656497, %U A012767 1004556790822666566963465,660067206361772785821053643 %V A012767 1,3,-35,-1057,59865,5446683,-726781835,-133713611977, %W A012767 32440474082865,10034804733270963,-3854719922524818035, %X A012767 -1800259494456990656497,1004556790822666566963465 %N A012767 arctan(cosh(x)*tan(x))=x+3/3!*x^3-35/5!*x^5-1057/7!*x^7+59865/9!*x^9... %R A012767 %O A012767 0,2 %K A012767 sign,done %A A012767 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012768 %S A012768 1,1,1,2,5,20,85,16,887,14096,145865,887456,14963507,126998976, %T A012768 2554796829,21834514688,556819358703,5067177011456,157094249035537, %U A012768 1485621376751104,55286734778859115,540527763829711872 %V A012768 1,1,1,2,5,20,85,16,-887,14096,145865,-887456,-14963507,126998976, %W A012768 2554796829,-21834514688,-556819358703,5067177011456, %X A012768 157094249035537,-1485621376751104,-55286734778859115 %N A012768 exp(cosh(x)*arctan(x))=1+x+1/2!*x^2+2/3!*x^3+5/4!*x^4+20/5!*x^5... %R A012768 %O A012768 0,4 %K A012768 sign,done %A A012768 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012769 %S A012769 1,3,45,1071,69177,3986939,609782693,60159520487,18315680711153, %T A012769 2425226987446387,1432393396034388637,194035475753231168543, %U A012769 248503763037617443112745,18849742079674987910368107 %N A012769 tan(cosh(x)*arctan(x))=x+3/3!*x^3+45/5!*x^5+1071/7!*x^7+69177/9!*x^9... %R A012769 %O A012769 0,2 %K A012769 nonn %A A012769 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012770 %S A012770 4,544,707584,3807514624,58177770225664,2030847773013704704, %T A012770 140503203207887919775744 %N A012770 log(cosh(x)*cos(x))=-4/4!*x^4-544/8!*x^8-707584/12!*x^12... %R A012770 %O A012770 0,1 %K A012770 sign,done %A A012770 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012771 %S A012771 1,1,1,3,9,25,105,371,1393,11985,71025,13981,898887,45127017, %T A012771 455252889,5553908333,75822681503,1415759895841,21366754787169, %U A012771 404022487469117,7036035942040855,148035510590478137 %V A012771 1,1,1,3,9,25,105,371,1393,11985,71025,-13981,-898887,45127017, %W A012771 455252889,-5553908333,-75822681503,1415759895841,21366754787169, %X A012771 -404022487469117,-7036035942040855,148035510590478137 %N A012771 exp(cosh(x)*arcsinh(x))=1+x+1/2!*x^2+3/3!*x^3+9/4!*x^4+25/5!*x^5... %R A012771 %O A012771 0,4 %K A012771 sign,done %A A012771 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012773 %S A012773 1,1,1,6,21,100,645,4256,34153,302352,2966505,32245664,380114493, %T A012773 4879093440,67244074989,996485811712,15717842398417,264232448010496, %U A012773 4694489063253585,88283645811756544,1744673430747688805 %N A012773 exp(cosh(x)*arctanh(x))=1+x+1/2!*x^2+6/3!*x^3+21/4!*x^4+100/5!*x^5... %R A012773 %O A012773 0,4 %K A012773 nonn %A A012773 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012774 %S A012774 1,1,6,18,143,915,9730,100940,1376357,19680165,332019710,6000731022, %T A012774 121502892067,2640899177735,62588297762666,1585329875795640, %U A012774 43101529687518377,1245060181757058633,38214480642167105206 %V A012774 1,-1,6,-18,143,-915,9730,-100940,1376357,-19680165,332019710, %W A012774 -6000731022,121502892067,-2640899177735,62588297762666, %X A012774 -1585329875795640,43101529687518377,-1245060181757058633 %N A012774 arcsin(sec(x)*log(x+1))=x-1/2!*x^2+6/3!*x^3-18/4!*x^4+143/5!*x^5... %R A012774 %O A012774 0,3 %K A012774 sign,done %A A012774 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012775 %S A012775 1,1,3,0,37,345,1967,2296,122093,2157165,21241847,62837544, %T A012775 2704412921,74329911565,1080320786971,5480675823120,220652162236409, %U A012775 8577532338045273,168598543971458059,1306206271210775920 %V A012775 1,-1,3,0,-37,345,-1967,2296,122093,-2157165,21241847,-62837544, %W A012775 -2704412921,74329911565,-1080320786971,5480675823120, %X A012775 220652162236409,-8577532338045273,168598543971458059 %N A012775 arctan(sec(x)*log(x+1))=x-1/2!*x^2+3/3!*x^3-37/5!*x^5+345/6!*x^6... %R A012775 %O A012775 0,3 %K A012775 sign,done %A A012775 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012776 %S A012776 1,1,4,6,13,75,688,3444,17701,627165,8927708,77106810,67688905, %T A012776 13345186855,307791747352,3673005693000,5260749482825, %U A012776 1552250968018713,45434699608017268,741230930507315470 %V A012776 1,-1,4,-6,13,75,-688,3444,17701,-627165,8927708,-77106810,67688905, %W A012776 13345186855,-307791747352,3673005693000,5260749482825, %X A012776 -1552250968018713,45434699608017268,-741230930507315470 %N A012776 arcsinh(sec(x)*log(x+1))=x-1/2!*x^2+4/3!*x^3-6/4!*x^4+13/5!*x^5... %R A012776 %O A012776 0,3 %K A012776 sign,done %A A012776 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012777 %S A012777 1,1,7,24,223,1635,19409,221592,3270325,50128965,898512371, %T A012777 17140184688,364328185843,8275583884295,204221077642685, %U A012777 5369189766162960,151121003206989833,4508710182336979593 %V A012777 1,-1,7,-24,223,-1635,19409,-221592,3270325,-50128965,898512371, %W A012777 -17140184688,364328185843,-8275583884295,204221077642685, %X A012777 -5369189766162960,151121003206989833,-4508710182336979593 %N A012777 arctanh(sec(x)*log(x+1))=x-1/2!*x^2+7/3!*x^3-24/4!*x^4+223/5!*x^5... %R A012777 %O A012777 0,3 %K A012777 sign,done %A A012777 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012778 %S A012778 1,0,1,3,28,160,1630,14700,180668,2227608,32850740,507842060, %T A012778 8829277928,162974579040,3280768459280,70166399557800, %U A012778 1609085392223312,39068177212368192,1006531896581760976 %V A012778 1,0,1,-3,28,-160,1630,-14700,180668,-2227608,32850740,-507842060, %W A012778 8829277928,-162974579040,3280768459280,-70166399557800, %X A012778 1609085392223312,-39068177212368192,1006531896581760976 %N A012778 sec(sec(x)*log(x+1))=1+1/2!*x^2-3/3!*x^3+28/4!*x^4-160/5!*x^5... %R A012778 %O A012778 0,4 %K A012778 sign,done %A A012778 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012779 %S A012779 1,0,1,3,18,60,180,1050,24192,308952,3131760,23742840,62587272, %T A012779 2606501040,75839636600,1415140435800,20144425867712,187207018203392, %U A012779 730860552463104,93674690778135744,2997999258319563520 %V A012779 1,0,-1,3,-18,60,-180,-1050,24192,-308952,3131760,-23742840, %W A012779 62587272,2606501040,-75839636600,1415140435800,-20144425867712, %X A012779 187207018203392,730860552463104,-93674690778135744 %N A012779 sech(sec(x)*log(x+1))=1-1/2!*x^2+3/3!*x^3-18/4!*x^4+60/5!*x^5... %R A012779 %O A012779 0,4 %K A012779 sign,done %A A012779 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012780 %S A012780 1,3,45,1743,133305,17089083,3302755365,896199578823,324729845802225, %T A012780 151401766241310963,88276508686397289885,62925559543228826845503, %U A012780 53835082550295989275314345,54438337988081689498005862443 %N A012780 arcsin(sec(x)*sin(x))=x+3/3!*x^3+45/5!*x^5+1743/7!*x^7+133305/9!*x^9... %R A012780 %O A012780 0,2 %K A012780 nonn %A A012780 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012782 %S A012782 1,1,1,5,17,85,505,3201,25153,204905,1945265,19581949,217998673, %T A012782 2608398013,33522871785,463598293497,6789373095937,106484041306577, %U A012782 1755926841763681,30821112722260469,566210591513987345 %N A012782 exp(sec(x)*arcsin(x))=1+x+1/2!*x^2+5/3!*x^3+17/4!*x^4+85/5!*x^5... %R A012782 %O A012782 0,4 %K A012782 nonn %A A012782 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012783 %S A012783 1,3,5,889,82167,7869301,906141171,128450716913,22562588189167, %T A012783 4955964959446253,1381444138161821675,495014642393801914473, %U A012783 227710892670360844819175,131704509800404485504904293 %V A012783 1,3,5,-889,-82167,-7869301,-906141171,-128450716913,-22562588189167, %W A012783 -4955964959446253,-1381444138161821675,-495014642393801914473, %X A012783 -227710892670360844819175,-131704509800404485504904293 %N A012783 sin(sec(x)*arcsin(x))=x+3/3!*x^3+5/5!*x^5-889/7!*x^7-82167/9!*x^9... %R A012783 %O A012783 0,2 %K A012783 sign,done %A A012783 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012784 %S A012784 1,5,93,4545,443065,72439325,17846988885,6173626900441, %T A012784 2852644920170097,1696726612682937781,1262481961197490093645, %U A012784 1148731484660194718055025,1254736888520332652127806761 %N A012784 arcsin(sec(x)*arcsin(x))=x+5/3!*x^3+93/5!*x^5+4545/7!*x^7+443065/9!*x^9... %R A012784 %O A012784 0,2 %K A012784 nonn %A A012784 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012785 %S A012785 1,6,140,7616,731856,108552224,22943169600,6543956234752, %T A012785 2420812240335104,1126850609820597760,644442125440553221120, %U A012785 444134934522130204704768,363006744066808568769433600 %N A012785 tan(sec(x)*arcsin(x))=x+6/3!*x^3+140/5!*x^5+7616/7!*x^7+731856/9!*x^9... %R A012785 %O A012785 0,2 %K A012785 nonn %A A012785 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012786 %S A012786 1,2,12,432,10000,1500512,18269760,16350361856,922523568384, %T A012786 990634832194048,92553699220882432,44373953423964778496, %U A012786 9057208032779104423936,25540436414796388855898112 %V A012786 1,2,-12,-432,10000,1500512,-18269760,-16350361856,922523568384, %W A012786 990634832194048,92553699220882432,-44373953423964778496, %X A012786 9057208032779104423936,25540436414796388855898112 %N A012786 arctan(sec(x)*arcsin(x))=x+2/3!*x^3-12/5!*x^5-432/7!*x^7+10000/9!*x^9... %R A012786 %O A012786 0,2 %K A012786 sign,done %A A012786 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012787 %S A012787 1,1,15,345,11263,455025,16466703,746021367,480286325633, %T A012787 150637957014303,46203820378253425,15313454320801213511, %U A012787 5643895146092962507905,2333857400234709586763695 %V A012787 1,-1,-15,-345,-11263,-455025,-16466703,746021367,480286325633, %W A012787 150637957014303,46203820378253425,15313454320801213511, %X A012787 5643895146092962507905,2333857400234709586763695 %N A012787 cos(sec(x)*arcsin(x))=1-1/2!*x^2-15/4!*x^4-345/6!*x^6-11263/8!*x^8... %R A012787 %O A012787 0,3 %K A012787 sign,done %A A012787 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012788 %S A012788 1,5,85,3201,204905,19581949,2608398013,463598293497,106484041306577, %T A012788 30821112722260469,11011429241275209765,4772177089034491961201, %U A012788 2471736193532210009786425,1510365281819897595496029677 %N A012788 sinh(sec(x)*arcsin(x))=x+5/3!*x^3+85/5!*x^5+3201/7!*x^7+204905/9!*x^9... %R A012788 %O A012788 0,2 %K A012788 nonn %A A012788 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012789 %S A012789 1,3,13,7,5465,978923,85275045,6907939183,1989186790065, %T A012789 849732569279059,291378385380567613,103124375038834822231, %U A012789 54929709590807595546121,39029092314830559489826107 %N A012789 arcsinh(sec(x)*arcsin(x))=x+3/3!*x^3+13/5!*x^5+7/7!*x^7+5465/9!*x^9... %R A012789 %O A012789 0,2 %K A012789 nonn %A A012789 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012790 %S A012790 1,2,20,1104,23728,2048224,394518592,28921612032,3968669081344, %T A012790 2038929577444864,347998546570798080,59058720637105172480, %U A012790 67936182152875665510400,22515279368057454566531072 %V A012790 1,2,-20,-1104,-23728,2048224,394518592,28921612032,-3968669081344, %W A012790 -2038929577444864,-347998546570798080,59058720637105172480, %X A012790 67936182152875665510400,22515279368057454566531072 %N A012790 tanh(sec(x)*arcsin(x))=x+2/3!*x^3-20/5!*x^5-1104/7!*x^7-23728/9!*x^9... %R A012790 %O A012790 0,2 %K A012790 sign,done %A A012790 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012791 %S A012791 1,6,148,9184,1066640,199000736,54431471040,20523724218880, %T A012791 10203766053312768,6467780044492713472,5090997086675585360896, %U A012791 4871968356294907783585792,5570589015199967686042095616 %N A012791 arctanh(sec(x)*arcsin(x))=x+6/3!*x^3+148/5!*x^5+9184/7!*x^7... %R A012791 %O A012791 0,2 %K A012791 nonn %A A012791 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012792 %S A012792 1,1,17,505,25153,1945265,217998673,33522871785,6789373095937, %T A012792 1755926841763681,566210591513987345,223294329140130622169, %U A012792 105980484509441390341953,59708382496464697426393105 %N A012792 cosh(sec(x)*arcsin(x))=1+1/2!*x^2+17/4!*x^4+505/6!*x^6+25153/8!*x^8... %R A012792 %O A012792 0,3 %K A012792 nonn %A A012792 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012793 %S A012793 1,1,21,885,67753,8319945,1497879933,371676224829,121584750716497, %T A012793 50703653565909009,26255891609845966565,16529283187035337691269, %U A012793 12432784542297124704745209,11011634249882125250110463705 %N A012793 sec(sec(x)*arcsin(x))=1+1/2!*x^2+21/4!*x^4+885/6!*x^6+67753/8!*x^8... %R A012793 %O A012793 0,3 %K A012793 nonn %A A012793 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012794 %S A012794 1,1,11,85,4457,456055,19404317,2130838749,709981721647, %T A012794 88561132771729,8928572938556485,8215826370826826011, %U A012794 1643974395579178155321,777302111773052397223705 %V A012794 1,-1,-11,-85,4457,456055,19404317,-2130838749,-709981721647, %W A012794 -88561132771729,8928572938556485,8215826370826826011, %X A012794 1643974395579178155321,-777302111773052397223705 %N A012794 sech(sec(x)*arcsin(x))=1-1/2!*x^2-11/4!*x^4-85/6!*x^6+4457/8!*x^8... %R A012794 %O A012794 0,3 %K A012794 sign,done %A A012794 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012795 %S A012795 1,6,120,6216,652800,115944576,31101732480,11717149191936, %T A012795 5895158281052160,3816842537847607296,3090738173477544099840, %U A012795 3060041827367678200774656,3636490261219371329053163520 %N A012795 arcsin(sec(x)*tan(x))=x+6/3!*x^3+120/5!*x^5+6216/7!*x^7+652800/9!*x^9... %R A012795 %O A012795 0,2 %K A012795 nonn %A A012795 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012796 %S A012796 1,3,15,1197,255,5448003,241437105,104019879597,17849464279935, %T A012796 5108933510880003,2525823613297136625,425245839735677809197, %U A012796 661733086487793705145215,4593026819719423131883197 %V A012796 1,3,-15,-1197,-255,5448003,241437105,-104019879597,-17849464279935, %W A012796 5108933510880003,2525823613297136625,-425245839735677809197, %X A012796 -661733086487793705145215,-4593026819719423131883197 %N A012796 arctan(sec(x)*tan(x))=x+3/3!*x^3-15/5!*x^5-1197/7!*x^7-255/9!*x^9... %R A012796 %O A012796 0,2 %K A012796 sign,done %A A012796 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012797 %S A012797 1,4,20,296,13360,1256704,189575360,11506868096,7128426008320, %T A012797 49808403426304,682296985566233600,90438749300061435904, %U A012797 128380014279650042490880,53104829106323270490423296 %V A012797 1,4,20,-296,-13360,1256704,189575360,-11506868096,-7128426008320, %W A012797 49808403426304,682296985566233600,90438749300061435904, %X A012797 -128380014279650042490880,-53104829106323270490423296 %N A012797 arcsinh(sec(x)*tan(x))=x+4/3!*x^3+20/5!*x^5-296/7!*x^7-13360/9!*x^9... %R A012797 %O A012797 0,2 %K A012797 sign,done %A A012797 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012798 %S A012798 1,7,185,12367,1558865,316097527,94003171145,38543705698687, %T A012798 20840298552277025,14366953364916735847,12299504390976449116505, %U A012798 12801737583190675819689007,15920156445351352463114729585 %N A012798 arctanh(sec(x)*tan(x))=x+7/3!*x^3+185/5!*x^5+12367/7!*x^7... %R A012798 %O A012798 0,2 %K A012798 nonn %A A012798 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012799 %S A012799 1,1,25,1177,98705,13250769,2607761385,707007382057,252591724020385, %T A012799 115013019820614177,65019184411131252025,44683093185748102178361, %U A012799 36687179790948560158256945,35468646820376578609567141873 %N A012799 sec(sec(x)*tan(x))=1+1/2!*x^2+25/4!*x^4+1177/6!*x^6+98705/8!*x^8... %R A012799 %O A012799 0,3 %K A012799 nonn %A A012799 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012800 %S A012800 1,1,15,177,8225,1259231,82092945,6743602257,3731314041535, %T A012800 658546620230977,68462273756819505,102601344100683911439, %U A012800 37004621343746850934625,3605666448860960629195873 %V A012800 1,-1,-15,-177,8225,1259231,82092945,-6743602257,-3731314041535, %W A012800 -658546620230977,68462273756819505,102601344100683911439, %X A012800 37004621343746850934625,-3605666448860960629195873 %N A012800 sech(sec(x)*tan(x))=1-1/2!*x^2-15/4!*x^4-177/6!*x^6+8225/8!*x^8... %R A012800 %O A012800 0,3 %K A012800 sign,done %A A012800 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012801 %S A012801 1,1,1,2,5,40,205,576,2473,46208,475385,1293184,2814227,309637120, %T A012801 5900398725,5786437632,532397600303,7315622592512,273302104270705, %U A012801 347058934743040,68724093821987755,483735262691819520 %V A012801 1,1,1,2,5,40,205,576,2473,46208,475385,1293184,-2814227,309637120, %W A012801 5900398725,5786437632,-532397600303,7315622592512,273302104270705, %X A012801 -347058934743040,-68724093821987755,483735262691819520 %N A012801 exp(sec(x)*arctan(x))=1+x+1/2!*x^2+2/3!*x^3+5/4!*x^4+40/5!*x^5... %R A012801 %O A012801 0,4 %K A012801 sign,done %A A012801 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012802 %S A012802 1,0,20,784,26256,4466176,435729216,104111460608,23261262303488, %T A012802 7794968497086464,2988775301503636480,1434421552426973564928, %U A012802 811112609409475303936000,540598484103424258178285568 %V A012802 1,0,20,-784,26256,-4466176,435729216,-104111460608,23261262303488, %W A012802 -7794968497086464,2988775301503636480,-1434421552426973564928, %X A012802 811112609409475303936000,-540598484103424258178285568 %N A012802 sin(sec(x)*arctan(x))=x+20/5!*x^5-784/7!*x^7+26256/9!*x^9... %R A012802 %O A012802 0,3 %K A012802 sign,done %A A012802 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012803 %S A012803 1,2,48,1080,112000,9941120,2204340864,473940603136,177280211177472, %T A012803 70742192264802304,40258836839175946240,25560794070720075464704, %U A012803 20755313571874776988942336,19066653840381485832858304512 %N A012803 arcsin(sec(x)*arctan(x))=x+2/3!*x^3+48/5!*x^5+1080/7!*x^7+112000/9!*x^9... %R A012803 %O A012803 0,2 %K A012803 nonn %A A012803 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012804 %S A012804 1,3,65,2051,154209,14263139,2239618017,411001918627,110281957937729, %T A012804 33549045899804227,13741520797366881025,6244634409478025568963, %U A012804 3628509505783902549611425,2300839492251656581442561187 %N A012804 tan(sec(x)*arctan(x))=x+3/3!*x^3+65/5!*x^5+2051/7!*x^7+154209/9!*x^9... %R A012804 %O A012804 0,2 %K A012804 nonn %A A012804 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012805 %S A012805 1,1,33,1377,99649,11796673,2017677153,471591223841,144742585812609, %T A012805 56447611418620289,27268126498786597537,15985843319019939868385, %U A012805 11182140682997302960743361,9201241997818886580811330113 %V A012805 1,-1,33,-1377,99649,-11796673,2017677153,-471591223841, %W A012805 144742585812609,-56447611418620289,27268126498786597537, %X A012805 -15985843319019939868385,11182140682997302960743361 %N A012805 arctan(sec(x)*atan(x))=x-1/3!*x^3+33/5!*x^5-1377/7!*x^7+99649/9!*x^9... %R A012805 %O A012805 0,3 %K A012805 sign,done %A A012805 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012806 %S A012806 1,1,3,165,1337,356745,31874997,5714452653,1296863374193, %T A012806 357091592679441,131690816886952045,56304582100478416309, %U A012806 29876409015019700748969,18379375710670502969514905 %V A012806 1,-1,-3,-165,1337,-356745,31874997,-5714452653,1296863374193, %W A012806 -357091592679441,131690816886952045,-56304582100478416309, %X A012806 29876409015019700748969,-18379375710670502969514905 %N A012806 cos(sec(x)*arctan(x))=1-1/2!*x^2-3/4!*x^4-165/6!*x^6+1337/8!*x^8... %R A012806 %O A012806 0,3 %K A012806 sign,done %A A012806 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012807 %S A012807 1,2,40,576,46208,1293184,309637120,5786437632,7315622592512, %T A012807 347058934743040,483735262691819520,91992936989187702784, %U A012807 74923051609806418739200,28841683494637052911157248 %V A012807 1,2,40,576,46208,1293184,309637120,5786437632,7315622592512, %W A012807 -347058934743040,483735262691819520,-91992936989187702784, %X A012807 74923051609806418739200,-28841683494637052911157248 %N A012807 sinh(sec(x)*arctan(x))=x+2/3!*x^3+40/5!*x^5+576/7!*x^7+46208/9!*x^9... %R A012807 %O A012807 0,2 %K A012807 sign,done %A A012807 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012808 %S A012808 1,0,28,728,54416,5676352,900432960,193766436992,55349093955840, %T A012808 20153308820338688,9138844606925237248,5050190610067417167872, %U A012808 3343568694767924711428096,2613638716122945595362951168 %V A012808 1,0,28,-728,54416,-5676352,900432960,-193766436992,55349093955840, %W A012808 -20153308820338688,9138844606925237248,-5050190610067417167872, %X A012808 3343568694767924711428096,-2613638716122945595362951168 %N A012808 arcsinh(sec(x)*arctan(x))=x+28/5!*x^5-728/7!*x^7+54416/9!*x^9... %R A012808 %O A012808 0,3 %K A012808 sign,done %A A012808 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012809 %S A012809 1,1,25,1209,68945,7692881,1181481769,242740782153,66317255314721, %T A012809 22739603323053601,9634203397240829625,4937246969845634306905, %U A012809 3007627322996781467655025,2149125294837930108279760753 %V A012809 1,-1,25,-1209,68945,-7692881,1181481769,-242740782153, %W A012809 66317255314721,-22739603323053601,9634203397240829625, %X A012809 -4937246969845634306905,3007627322996781467655025 %N A012809 tanh(sec(x)*arctan(x))=x-1/3!*x^3+25/5!*x^5-1209/7!*x^7+68945/9!*x^9... %R A012809 %O A012809 0,3 %K A012809 sign,done %A A012809 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012810 %S A012810 1,3,73,2779,260177,32853491,6787498521,1803655970635, %T A012810 660549566885793,299826162055728355,172107541834064358121, %U A012810 118707937911469881769147,98574741929922225569568241 %N A012810 arctanh(sec(x)*atan(x))=x+3/3!*x^3+73/5!*x^5+2779/7!*x^7... %R A012810 %O A012810 0,2 %K A012810 nonn %A A012810 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012811 %S A012811 1,1,5,205,2473,475385,2814227,5900398725,532397600303, %T A012811 273302104270705,68724093821987755,35776180280496600509, %U A012811 16339748046588020242311,10552119508350355540652905 %V A012811 1,1,5,205,2473,475385,-2814227,5900398725,-532397600303, %W A012811 273302104270705,-68724093821987755,35776180280496600509, %X A012811 -16339748046588020242311,10552119508350355540652905 %N A012811 cosh(sec(x)*arctan(x))=1+1/2!*x^2+5/4!*x^4+205/6!*x^6+2473/8!*x^8... %R A012811 %O A012811 0,3 %K A012811 sign,done %A A012811 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012812 %S A012812 1,1,9,345,14833,1493265,158895033,30935964969,6150088646497, %T A012812 1967749424641953,629235472952720105,300014790466799113849, %U A012812 140704010339485622390865,93651237671421167849769905 %N A012812 sec(sec(x)*arctan(x))=1+1/2!*x^2+9/4!*x^4+345/6!*x^6+14833/8!*x^8... %R A012812 %O A012812 0,3 %K A012812 nonn %A A012812 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012813 %S A012813 1,1,1,145,6977,568865,80708417,14347965489,3496685652353, %T A012813 1086579978065473,419435785375158145,197705949756543164369, %U A012813 111488102700546889037505,74151248251988209281143905 %V A012813 1,-1,1,-145,6977,-568865,80708417,-14347965489,3496685652353, %W A012813 -1086579978065473,419435785375158145,-197705949756543164369, %X A012813 111488102700546889037505,-74151248251988209281143905 %N A012813 sech(sec(x)*arctan(x))=1-1/2!*x^2+1/4!*x^4-145/6!*x^6+6977/8!*x^8... %R A012813 %O A012813 0,4 %K A012813 sign,done %A A012813 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012815 %S A012815 1,5,85,3985,379625,60812765,14677835965,4970543866345, %T A012815 2246783432849105,1306543181979948725,950061718955626219045, %U A012815 844558265482290124163905,901064938302237380563065785 %N A012815 arcsin(sec(x)*sinh(x))=x+5/3!*x^3+85/5!*x^5+3985/7!*x^7+379625/9!*x^9... %R A012815 %O A012815 0,2 %K A012815 nonn %A A012815 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012816 %S A012816 1,2,20,488,22160,1616672,172976960,25518205568,4964227109120, %T A012816 1231298393825792,379260096755225600,142026494757146421248, %U A012816 63547531933929827962880,33481297996129270926221312 %V A012816 1,2,-20,-488,22160,1616672,-172976960,-25518205568,4964227109120, %W A012816 1231298393825792,-379260096755225600,-142026494757146421248, %X A012816 63547531933929827962880,33481297996129270926221312 %N A012816 arctan(sec(x)*sinh(x))=x+2/3!*x^3-20/5!*x^5-488/7!*x^7+22160/9!*x^9... %R A012816 %O A012816 0,2 %K A012816 sign,done %A A012816 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012817 %S A012817 1,3,5,217,2505,765963,6838195,9335128657,286658869905, %T A012817 407628336475923,19130907180121195,42164783730598660297, %U A012817 3124552441785986300505,9154657902519091515622683 %V A012817 1,3,5,-217,2505,765963,-6838195,-9335128657,286658869905, %W A012817 407628336475923,-19130907180121195,-42164783730598660297, %X A012817 3124552441785986300505,9154657902519091515622683 %N A012817 arcsinh(sec(x)*sinh(x))=x+3/3!*x^3+5/5!*x^5-217/7!*x^7+2505/9!*x^9... %R A012817 %O A012817 0,2 %K A012817 sign,done %A A012817 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012818 %S A012818 1,6,140,8456,957840,174293856,46514037440,17115342333056, %T A012818 8304761365213440,5137820023434733056,3947233200665413667840, %U A012818 3686931444647916864505856,4114664615209642258282352640 %N A012818 arctanh(sec(x)*sinh(x))=x+6/3!*x^3+140/5!*x^5+8456/7!*x^7... %R A012818 %O A012818 0,2 %K A012818 nonn %A A012818 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012819 %S A012819 1,1,21,837,60585,7048489,1201350909,282008557677,87244033155153, %T A012819 34402407033544657,16843665951415524837,10025536600336492439061, %U A012819 7129473645057562412172537,5969969671887834658217008633 %N A012819 sec(sec(x)*sinh(x))=1+1/2!*x^2+21/4!*x^4+837/6!*x^6+60585/8!*x^8... %R A012819 %O A012819 0,3 %K A012819 nonn %A A012819 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012820 %S A012820 1,1,11,37,7145,450711,3070179,4923539597,586954253103, %T A012820 57287087552943,41119408518068293,5965331366096594059, %U A012820 2749345524263504663367,1905635088547220040309433 %V A012820 1,-1,-11,-37,7145,450711,-3070179,-4923539597,-586954253103, %W A012820 57287087552943,41119408518068293,5965331366096594059, %X A012820 -2749345524263504663367,-1905635088547220040309433 %N A012820 sech(sec(x)*sinh(x))=1-1/2!*x^2-11/4!*x^4-37/6!*x^6+7145/8!*x^8... %R A012820 %O A012820 0,3 %K A012820 sign,done %A A012820 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012821 %S A012821 1,1,1,3,9,45,225,1071,6993,56697,467745,3279419,29529753,376156261, %T A012821 4297350785,35274762407,378759492257,8003761282417,122599030798017, %U A012821 853554115621363,8002975063348265,450081179390735645 %V A012821 1,1,1,3,9,45,225,1071,6993,56697,467745,3279419,29529753,376156261, %W A012821 4297350785,35274762407,378759492257,8003761282417,122599030798017, %X A012821 853554115621363,8002975063348265,450081179390735645 %N A012821 exp(sec(x)*arcsinh(x))=1+x+1/2!*x^2+3/3!*x^3+9/4!*x^4+45/5!*x^5... %R A012821 %O A012821 0,4 %K A012821 sign,done %A A012821 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012822 %S A012822 1,1,5,499,12055,2156871,24423763,27205910523,2396435716433, %T A012822 1214149548475407,375616253471952085,173184506373765285763, %U A012822 93896424495536603892025,57465007424690895944339543 %V A012822 1,1,5,-499,-12055,-2156871,-24423763,-27205910523,2396435716433, %W A012822 -1214149548475407,375616253471952085,-173184506373765285763, %X A012822 93896424495536603892025,-57465007424690895944339543 %N A012822 sin(sec(x)*arcsinh(x))=x+1/3!*x^3+5/5!*x^5-499/7!*x^7-12055/9!*x^9... %R A012822 %O A012822 0,3 %K A012822 sign,done %A A012822 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012823 %S A012823 1,3,53,1855,156425,19537595,3987121981,1087120051511, %T A012823 408148372272017,193531749818796403,116081047496759766725, %U A012823 84538055378229508493871,74205177566923695709271961 %N A012823 arcsin(sec(x)*arcsinh(x))=x+3/3!*x^3+53/5!*x^5+1855/7!*x^7... %R A012823 %O A012823 0,2 %K A012823 nonn %A A012823 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012824 %S A012824 1,4,80,3176,240128,26523264,4329123968,926411177472,262606340440064, %T A012824 92031599216406528,40177149524079247360,20888461815920151461888, %U A012824 13005071730835628127846400,9394925108531366128729587712 %N A012824 tan(sec(x)*arcsinh(x))=x+4/3!*x^3+80/5!*x^5+3176/7!*x^7+240128/9!*x^9... %R A012824 %O A012824 0,2 %K A012824 nonn %A A012824 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012825 %S A012825 1,0,8,392,20096,1754368,241340032,44833033216,10840711614464, %T A012825 3348758074142720,1285112610745352192,598690046386495291392, %U A012825 332953969072425739124736,217949438999618554495500288 %V A012825 1,0,8,-392,20096,-1754368,241340032,-44833033216,10840711614464, %W A012825 -3348758074142720,1285112610745352192,-598690046386495291392, %X A012825 332953969072425739124736,-217949438999618554495500288 %N A012825 arctan(sec(x)*arcsinh(x))=x+8/5!*x^5-392/7!*x^7+20096/9!*x^9... %R A012825 %O A012825 0,3 %K A012825 sign,done %A A012825 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012826 %S A012826 1,1,7,145,2063,128705,5154217,510686033,254809389793,27371394484993, %T A012826 18728499608356185,5038330344345849489,3197858289863468529361, %U A012826 1630641802209014177997505,1188860833843808797671968009 %V A012826 1,-1,-7,-145,-2063,-128705,5154217,-510686033,254809389793, %W A012826 -27371394484993,18728499608356185,-5038330344345849489, %X A012826 3197858289863468529361,-1630641802209014177997505 %N A012826 cos(sec(x)*arcsinh(x))=1-1/2!*x^2-7/4!*x^4-145/6!*x^6-2063/8!*x^8... %R A012826 %O A012826 0,3 %K A012826 sign,done %A A012826 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012827 %S A012827 1,3,45,1071,56697,3279419,376156261,35274762407,8003761282417, %T A012827 853554115621363,450081179390735645,17369944484313961631, %U A012827 62576187908645427074025,11407841475969056406389973 %V A012827 1,3,45,1071,56697,3279419,376156261,35274762407,8003761282417, %W A012827 853554115621363,450081179390735645,17369944484313961631, %X A012827 62576187908645427074025,-11407841475969056406389973 %N A012827 sinh(sec(x)*arcsinh(x))=x+3/3!*x^3+45/5!*x^5+1071/7!*x^7+56697/9!*x^9... %R A012827 %O A012827 0,2 %K A012827 sign,done %A A012827 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012828 %S A012828 1,1,13,163,12409,931207,131515525,22736601067,5414338951025, %T A012828 1621869733040399,608306871018022013,276781704508170478131, %U A012828 150811097250449098751721,96804685135198494755720343 %V A012828 1,1,13,-163,12409,-931207,131515525,-22736601067,5414338951025, %W A012828 -1621869733040399,608306871018022013,-276781704508170478131, %X A012828 150811097250449098751721,-96804685135198494755720343 %N A012828 arcsinh(sec(x)*arcsinh(x))=x+1/3!*x^3+13/5!*x^5-163/7!*x^7+12409/9!*x^9... %R A012828 %O A012828 0,3 %K A012828 sign,done %A A012828 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012829 %S A012829 1,0,0,504,11904,1023616,190103680,27296677888,6616599617536, %T A012829 2038987281108992,733961541487493120,333541890591777587200, %U A012829 180073909555827471974400,114101788265471646305353728 %V A012829 1,0,0,-504,11904,-1023616,190103680,-27296677888,6616599617536, %W A012829 -2038987281108992,733961541487493120,-333541890591777587200, %X A012829 180073909555827471974400,-114101788265471646305353728 %N A012829 tanh(sec(x)*arcsinh(x))=x-504/7!*x^7+11904/9!*x^9-1023616/11!*x^11... %R A012829 %O A012829 0,4 %K A012829 sign,done %A A012829 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012830 %S A012830 1,4,88,4184,398848,58835456,12993783424,3911934210560, %T A012830 1562951627091968,793328025614454784,501079933291827593216, %U A012830 384338283691725654392832,352458553186266111883247616 %N A012830 arctanh(sec(x)*arcsinh(x))=x+4/3!*x^3+88/5!*x^5+4184/7!*x^7... %R A012830 %O A012830 0,2 %K A012830 nonn %A A012830 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012831 %S A012831 1,1,9,225,6993,467745,29529753,4297350785,378759492257, %T A012831 122599030798017,8002975063348265,9354851201922233249, %U A012831 686072407102337430543,1787263355638656126843105 %V A012831 1,1,9,225,6993,467745,29529753,4297350785,378759492257, %W A012831 122599030798017,8002975063348265,9354851201922233249, %X A012831 -686072407102337430543,1787263355638656126843105 %N A012831 cosh(sec(x)*arcsinh(x))=1+1/2!*x^2+9/4!*x^4+225/6!*x^6+6993/8!*x^8... %R A012831 %O A012831 0,3 %K A012831 sign,done %A A012831 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012832 %S A012832 1,1,13,445,24953,2394425,320731013,61303017269,15028480222577, %T A012832 4798610670513265,1869279471006738045,898190788867995464109, %U A012832 509366426382836133377513,343690844382622422166331305 %N A012832 sec(sec(x)*arcsinh(x))=1+1/2!*x^2+13/4!*x^4+445/6!*x^6+24953/8!*x^8... %R A012832 %O A012832 0,3 %K A012832 nonn %A A012832 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012833 %S A012833 1,1,3,45,2457,36825,12566037,1732392389,313988548273,92368244011185, %T A012833 30231378922437805,12317648529216417629,6168347852710380187977, %U A012833 3616136826996686827399305,2487660194946875060969788869 %V A012833 1,-1,-3,-45,2457,-36825,12566037,-1732392389,313988548273, %W A012833 -92368244011185,30231378922437805,-12317648529216417629, %X A012833 6168347852710380187977,-3616136826996686827399305 %N A012833 sech(sec(x)*arcsinh(x))=1-1/2!*x^2-3/4!*x^4-45/6!*x^6+2457/8!*x^8... %R A012833 %O A012833 0,3 %K A012833 sign,done %A A012833 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012834 %S A012834 1,2,40,1192,87680,9890432,1736725120,424537276672,139089326735360, %T A012834 58613115790118912,30905365440751206400,19924657840958605361152, %U A012834 15419390055940961625866240,14105236549373087746555707392 %N A012834 arcsin(sec(x)*tanh(x))=x+2/3!*x^3+40/5!*x^5+1192/7!*x^7+87680/9!*x^9... %R A012834 %O A012834 0,2 %K A012834 nonn %A A012834 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012835 %S A012835 1,1,25,761,42065,3898321,521329705,96017526281,23356125062945, %T A012835 7240133620964641,2786977252450841785,1304375789021987253401, %U A012835 729394652578427432666225,480281453260247282387992561 %V A012835 1,-1,25,-761,42065,-3898321,521329705,-96017526281,23356125062945, %W A012835 -7240133620964641,2786977252450841785,-1304375789021987253401, %X A012835 729394652578427432666225,-480281453260247282387992561 %N A012835 arctan(sec(x)*tanh(x))=x-1/3!*x^3+25/5!*x^5-761/7!*x^7+42065/9!*x^9... %R A012835 %O A012835 0,3 %K A012835 sign,done %A A012835 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012836 %S A012836 1,0,20,280,18000,1277760,159922880,26119949440,5923118588160, %T A012836 1705199348152320,619341836139299840,274598298613483878400, %U A012836 146431095418622106193920,92305017354779154307399680 %V A012836 1,0,20,-280,18000,-1277760,159922880,-26119949440,5923118588160, %W A012836 -1705199348152320,619341836139299840,-274598298613483878400, %X A012836 146431095418622106193920,-92305017354779154307399680 %N A012836 arcsinh(sec(x)*tanh(x))=x+20/5!*x^5-280/7!*x^7+18000/9!*x^9... %R A012836 %O A012836 0,3 %K A012836 sign,done %A A012836 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012837 %S A012837 1,3,65,2723,226785,29857443,5785047905,1544546456963, %T A012837 543833037679425,244141035610073283,136105726320473657345, %U A012837 92251004006663786578403,74707241586539626288837665 %N A012837 arctanh(sec(x)*tanh(x))=x+3/3!*x^3+65/5!*x^5+2723/7!*x^7... %R A012837 %O A012837 0,2 %K A012837 nonn %A A012837 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012838 %S A012838 1,1,9,297,14385,1207729,143876601,23841581337,5193194291937, %T A012838 1442318342390497,497436148816555113,208516037618871269001, %U A012838 104439610892072605613073,61591265237655555392072593 %N A012838 sec(sec(x)*tanh(x))=1+1/2!*x^2+9/4!*x^4+297/6!*x^6+14385/8!*x^8... %R A012838 %O A012838 0,3 %K A012838 nonn %A A012838 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012839 %S A012839 1,1,1,97,2945,148929,15801729,1624918817,267458400513, %T A012839 52723991194497,12773658359030017,3865567565691658721, %U A012839 1370070916604727994497,576252092267236760553793 %V A012839 1,-1,1,-97,2945,-148929,15801729,-1624918817,267458400513, %W A012839 -52723991194497,12773658359030017,-3865567565691658721, %X A012839 1370070916604727994497,-576252092267236760553793 %N A012839 sech(sec(x)*tanh(x))=1-1/2!*x^2+1/4!*x^4-97/6!*x^6+2945/8!*x^8... %R A012839 %O A012839 0,4 %K A012839 sign,done %A A012839 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012840 %S A012840 1,1,1,6,21,120,765,5376,46473,415104,4371225,48143744,594635613, %T A012840 7784817664,110691178325,1673986906112,27018807872657, %U A012840 462531126525952,8370279766396593,159859054841331712 %N A012840 exp(sec(x)*arctanh(x))=1+x+1/2!*x^2+6/3!*x^3+21/4!*x^4+120/5!*x^5... %R A012840 %O A012840 0,4 %K A012840 nonn %A A012840 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012841 %S A012841 1,4,20,1024,147568,19148736,2934842560,551525234688,127249126657792, %T A012841 35789287036394496,12158191126869847040,4941201795126314303488, %U A012841 2379230211581147229286400,1344113921207466636252397568 %V A012841 1,4,20,-1024,-147568,-19148736,-2934842560,-551525234688, %W A012841 -127249126657792,-35789287036394496,-12158191126869847040, %X A012841 -4941201795126314303488,-2379230211581147229286400 %N A012841 sin(sec(x)*arctanh(x))=x+4/3!*x^3+20/5!*x^5-1024/7!*x^7-147568/9!*x^9... %R A012841 %O A012841 0,2 %K A012841 sign,done %A A012841 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012842 %S A012842 1,6,128,7000,757760,137329280,37511412352,14396574922496, %T A012842 7385535722319872,4879586077682790400,4034467892180241121280, %U A012842 4080124101723746610511872,4954185596977233058289319936 %N A012842 arcsin(sec(x)*arctanh(x))=x+6/3!*x^3+128/5!*x^5+7000/7!*x^7... %R A012842 %O A012842 0,2 %K A012842 nonn %A A012842 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012843 %S A012843 1,7,185,11471,1263185,215079159,52220520521,17117211436287, %T A012843 7278847910698529,3895256097472909671,2561265786122546675545, %U A012843 2029572906879775183011503,1907361016227301624675795825 %N A012843 tan(sec(x)*arctanh(x))=x+7/3!*x^3+185/5!*x^5+11471/7!*x^7... %R A012843 %O A012843 0,2 %K A012843 nonn %A A012843 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012844 %S A012844 1,3,7,917,7183,3803987,316369129,40892465221,12655402122271, %T A012844 1539257113273507,1652188971379360217,198029913991075323147, %U A012844 231213557728594141960239,76270663840340687485107213 %V A012844 1,3,-7,-917,-7183,3803987,316369129,-40892465221,-12655402122271, %W A012844 1539257113273507,1652188971379360217,198029913991075323147, %X A012844 -231213557728594141960239,-76270663840340687485107213 %N A012844 arctan(sec(x)*atanh(x))=x+3/3!*x^3-7/5!*x^5-917/7!*x^7-7183/9!*x^9... %R A012844 %O A012844 0,2 %K A012844 sign,done %A A012844 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012845 %S A012845 1,1,19,565,24743,1450985,100090043,5608180253,703874231473, %T A012845 601015521145391,309193460848468125,160230604230030181371, %U A012845 91310347371287711776777,58721857461984188996135495 %V A012845 1,-1,-19,-565,-24743,-1450985,-100090043,-5608180253,703874231473, %W A012845 601015521145391,309193460848468125,160230604230030181371, %X A012845 91310347371287711776777,58721857461984188996135495 %N A012845 cos(sec(x)*arctanh(x))=1-1/2!*x^2-19/4!*x^4-565/6!*x^6-24743/8!*x^8... %R A012845 %O A012845 0,3 %K A012845 sign,done %A A012845 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012846 %S A012846 1,6,120,5376,415104,48143744,7784817664,1673986906112, %T A012846 462531126525952,159859054841331712,67616604530628853760, %U A012846 34373912421215807799296,20685291456673100857344000 %N A012846 sinh(sec(x)*arctanh(x))=x+6/3!*x^3+120/5!*x^5+5376/7!*x^7... %R A012846 %O A012846 0,2 %K A012846 nonn %A A012846 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012847 %S A012847 1,4,28,152,6928,2225408,348750400,38567316608,5024551512320, %T A012847 2238520490011648,1265695140964379648,555587429710072952832, %U A012847 218348017328527789264896,124784882666107086189330432 %N A012847 arcsinh(sec(x)*arctanh(x))=x+4/3!*x^3+28/5!*x^5+152/7!*x^7+6928/9!*x^9... %R A012847 %O A012847 0,2 %K A012847 nonn %A A012847 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012848 %S A012848 1,3,15,1869,88959,202499,974640433,190241481587,15481756625281, %T A012848 5564353308576125,3510791865515349775,961065703006847944525, %U A012848 92025876595389114977025,299254465799630697304777347 %V A012848 1,3,-15,-1869,-88959,202499,974640433,190241481587,15481756625281, %W A012848 -5564353308576125,-3510791865515349775,-961065703006847944525, %X A012848 92025876595389114977025,299254465799630697304777347 %N A012848 tanh(sec(x)*arctanh(x))=x+3/3!*x^3-15/5!*x^5-1869/7!*x^7-88959/9!*x^9... %R A012848 %O A012848 0,2 %K A012848 sign,done %A A012848 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012849 %S A012849 1,7,193,13319,1721281,357281351,108706678273,45591739883975, %T A012849 25211971076762753,17775279702237604231,15562493015528998511681, %U A012849 16565188691481564795512967,21067308092979783990029042241 %N A012849 arctanh(sec(x)*atanh(x))=x+7/3!*x^3+193/5!*x^5+13319/7!*x^7... %R A012849 %O A012849 0,2 %K A012849 nonn %A A012849 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012850 %S A012850 1,1,21,765,46473,4371225,594635613,110691178325,27018807872657, %T A012850 8370279766396593,3208469378545620005,1491108362472114151469, %U A012850 826269720877603294674201,538334287550086657620232905 %N A012850 cosh(sec(x)*arctanh(x))=1+1/2!*x^2+21/4!*x^4+765/6!*x^6+46473/8!*x^8... %R A012850 %O A012850 0,3 %K A012850 nonn %A A012850 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012851 %S A012851 1,1,25,1225,108113,15283505,3167087273,904365439289,340377095938337, %T A012851 163284306442648801,97251848546749385145,70412470931263247515689, %U A012851 60905917762268697815507057,62032377805368358044198610705 %N A012851 sec(sec(x)*arctanh(x))=1+1/2!*x^2+25/4!*x^4+1225/6!*x^6+108113/8!*x^8... %R A012851 %O A012851 0,3 %K A012851 nonn %A A012851 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012852 %S A012852 1,1,15,225,3297,973695,99434577,3364479391,1767300967487, %T A012852 640573924497921,102867079807004495,22939113754550703391, %U A012852 27513402069157221548193,11830594343212717024871295 %V A012852 1,-1,-15,-225,3297,973695,99434577,3364479391,-1767300967487, %W A012852 -640573924497921,-102867079807004495,22939113754550703391, %X A012852 27513402069157221548193,11830594343212717024871295 %N A012852 sech(sec(x)*arctanh(x))=1-1/2!*x^2-15/4!*x^4-225/6!*x^6+3297/8!*x^8... %R A012852 %O A012852 0,3 %K A012852 sign,done %A A012852 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012853 %S A012853 2,32,15872,44736512,419730685952,9902996106248192, %T A012853 493842960380415967232 %N A012853 log(sec(x)*cosh(x))=2/2!*x^2+32/6!*x^6+15872/10!*x^10... %R A012853 %O A012853 0,1 %K A012853 nonn %A A012853 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012854 %S A012854 1,0,0,55,7,38,219,1487,11570,101682,995254,1814866833,126624718, %T A012854 1619876114,22344623929,95542242048111,5222279193717,87722551872998, %U A012854 1561364880901471,29353667049630175,581233980566953138 %V A012854 -1,0,-0,55,-7,38,-219,1487,-11570,101682,-995254,1814866833, %W A012854 -126624718,1619876114,-22344623929,95542242048111,-5222279193717, %X A012854 87722551872998,-1561364880901471,29353667049630175 %N A012854 log(cosec(x)*log(x+1))=-x+55/4!*x^4-7/5!*x^5+38/6!*x^6-219/7!*x^7... %R A012854 %O A012854 0,4 %K A012854 sign,done %A A012854 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012856 %S A012856 6,40,1197,888,6945664,976514838,836054516,47528446559105, %T A012856 15241280332373681,13709908797232583,2906353877902946339671, %U A012856 2663198791987064856806,1535992958057301680879410 %N A012856 log(cosec(x)*arcsin(x))=6/2!*x^2+40/4!*x^4+1197/6!*x^6+888/8!*x^8... %R A012856 %O A012856 0,1 %K A012856 nonn %A A012856 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012857 %S A012857 3,90,3108,2526,21041152,3119597078,2795531241,165426786350647, %T A012857 54984286384408471,51089090926869862,11155717823690527304715, %U A012857 10504792593720561212578,6213578226566067746041444 %V A012857 -3,90,-3108,2526,-21041152,3119597078,-2795531241,165426786350647, %W A012857 -54984286384408471,51089090926869862,-11155717823690527304715, %X A012857 10504792593720561212578,-6213578226566067746041444 %N A012857 log(cosec(x)*arctan(x))=-3/2!*x^2+90/4!*x^4-3108/6!*x^6+2526/8!*x^8... %R A012857 %O A012857 0,1 %K A012857 sign,done %A A012857 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012858 %S A012858 6,21,1870,2730,578015720,1249000117574,7358833666730 %N A012858 log(cosec(x)*sinh(x))=6/2!*x^2+21/6!*x^6+1870/10!*x^10+2730/14!*x^14... %R A012858 %O A012858 0,1 %K A012858 nonn %A A012858 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012859 %S A012859 40,24,888,57386,976514838,836051785,47528446559105,42219611507916, %T A012859 13709908797232583,5494052696888367149,2663198791987064856806, %U A012859 1535992958049942847212679,874207860858260015426821947392 %V A012859 40,-24,888,-57386,976514838,-836051785,47528446559105, %W A012859 -42219611507916,13709908797232583,-5494052696888367149, %X A012859 2663198791987064856806,-1535992958049942847212679 %N A012859 log(cosec(x)*arcsinh(x))=40/4!*x^4-24/6!*x^6+888/8!*x^8-57386/10!*x^10... %R A012859 %O A012859 0,1 %K A012859 sign,done %A A012859 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012860 %S A012860 3,2,756,272,958375,353792,22365525,1903757312,75760810798597, %T A012860 29088885112832,2619341221102529187,1015423886506852352, %U A012860 246921472831374316885,70251601603943959887872 %V A012860 -3,2,-756,272,-958375,353792,-22365525,1903757312,-75760810798597, %W A012860 29088885112832,-2619341221102529187,1015423886506852352, %X A012860 -246921472831374316885,70251601603943959887872 %N A012860 log(cosec(x)*tanh(x))=-3/2!*x^2+2/4!*x^4-756/6!*x^6+272/8!*x^8... %R A012860 %O A012860 0,1 %K A012860 sign,done %A A012860 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012861 %S A012861 1,90,64,2526,173909,3119597078,2795533971,165426786350647, %T A012861 152311044217241,51089090926869862,21088313468694758832, %U A012861 10504792593720561212578,6213578226573426579708174 %N A012861 log(cosec(x)*arctanh(x))=1/2!*x^2+90/4!*x^4+64/6!*x^6+2526/8!*x^8... %R A012861 %O A012861 0,2 %K A012861 nonn %A A012861 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012862 %S A012862 1,35,14,389,20681,302020498,228152509,11666167868104,9454541036517, %T A012862 2831707462974691,1055703396097984161,479430163902396910214, %U A012862 260551691154665967740025,140414103126931861578930621319 %N A012862 arccosh(cosec(x)*arctanh(x))=x+35/3!*x^3+14/5!*x^5+389/7!*x^7... %R A012862 %O A012862 0,2 %K A012862 nonn %A A012862 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012863 %S A012863 1,0,0,5,7,22,219,1215,11570,93746,995254,1755075985,126624718, %T A012863 1597507858,22344623929,94992056184943,5222279193717,87512686530022, %U A012863 1561364880901471,29324578164517343,581233980566953138 %V A012863 -1,-0,-0,5,-7,22,-219,1215,-11570,93746,-995254,1755075985, %W A012863 -126624718,1597507858,-22344623929,94992056184943,-5222279193717, %X A012863 87512686530022,-1561364880901471,29324578164517343 %N A012863 log(cotan(x)*log(x+1))=-x+5/4!*x^4-7/5!*x^5+22/6!*x^6-219/7!*x^7... %R A012863 %O A012863 0,4 %K A012863 sign,done %A A012863 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012865 %S A012865 3,10,413,616,5985408,916723990,813686260,46978260695937, %T A012865 15165518943559345,13680819912119751,2903734535432843692887, %U A012865 2662183368100558004454,1535746036577111472895794 %V A012865 -3,-10,413,616,5985408,916723990,813686260,46978260695937, %W A012865 15165518943559345,13680819912119751,2903734535432843692887, %X A012865 2662183368100558004454,1535746036577111472895794 %N A012865 log(cotan(x)*arcsin(x))=-3/2!*x^2-10/4!*x^4+413/6!*x^6+616/8!*x^8... %R A012865 %O A012865 0,1 %K A012865 sign,done %A A012865 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012867 %S A012867 12,40,3892,2254,22001408,3059806230,2817899497,164876600487479, %T A012867 55060047773222807,51060002041757030,11158337166160629951499, %U A012867 10503777169834054360226,6213825148046257954025060 %V A012867 -12,40,-3892,2254,-22001408,3059806230,-2817899497,164876600487479, %W A012867 -55060047773222807,51060002041757030,-11158337166160629951499, %X A012867 10503777169834054360226,-6213825148046257954025060 %N A012867 log(cotan(x)*arctan(x))=-12/2!*x^2+40/4!*x^4-3892/6!*x^6+2254/8!*x^8... %R A012867 %O A012867 0,1 %K A012867 sign,done %A A012867 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012868 %S A012868 1,10,40,616,65322,916723990,858420041,46978260695937,42429476850892, %T A012868 13680819912119751,5499004194941491245,2662183368100558004454, %U A012868 1536239879530133055196295,874148779261311098556556247040 %V A012868 -1,-10,-40,616,-65322,916723990,-858420041,46978260695937, %W A012868 -42429476850892,13680819912119751,-5499004194941491245, %X A012868 2662183368100558004454,-1536239879530133055196295 %N A012868 log(cotan(x)*arcsinh(x))=-1/2!*x^2-10/4!*x^4-40/6!*x^6+616/8!*x^8... %R A012868 %O A012868 0,2 %K A012868 sign,done %A A012868 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012869 %S A012869 1,10,6,149,7600,104662844,75561754,3709682948136,2900204427380, %T A012869 840880262548808,304357885708252598,134513629643410517580, %U A012869 71287613697326019658400,37528789136995604464425198059 %V A012869 1,-10,6,-149,7600,-104662844,75561754,-3709682948136,2900204427380, %W A012869 -840880262548808,304357885708252598,-134513629643410517580, %X A012869 71287613697326019658400,-37528789136995604464425198059 %N A012869 arccos(cotan(x)*arcsinh(x))=x-10/3!*x^3+6/5!*x^5-149/7!*x^7+7600/9!*x^9... %R A012869 %O A012869 0,2 %K A012869 sign,done %A A012869 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012870 %S A012870 12,1540,1918631,44733781,151522199612933,5238683691205175971, %T A012870 493842953021582300501 %N A012870 log(cotan(x)*tanh(x))=-12/2!*x^2-1540/6!*x^6-1918631/10!*x^10... %R A012870 %O A012870 0,1 %K A012870 sign,done %A A012870 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012871 %S A012871 40,48,2254,165973,3059806230,2773165715,164876600487479, %T A012871 152101178874265,51060002041757030,21083361970641634736, %U A012871 10503777169834054360226,6213331305093236371724558 %N A012871 log(cotan(x)*arctanh(x))=40/4!*x^4+48/6!*x^6+2254/8!*x^8... %R A012871 %O A012871 0,1 %K A012871 nonn %A A012871 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012872 %S A012872 1,1,0,6,43,195,1568,15204,151373,1798245,23630992,338936730, %T A012872 5409752775,93357461015,1736114575232,34849328368680,747209331349305, %U A012872 17053712316379593,413430901134512288,10597076321308832270 %V A012872 1,-1,0,-6,43,-195,1568,-15204,151373,-1798245,23630992,-338936730, %W A012872 5409752775,-93357461015,1736114575232,-34849328368680, %X A012872 747209331349305,-17053712316379593,413430901134512288 %N A012872 arcsin(sech(x)*log(x+1))=x-1/2!*x^2-6/4!*x^4+43/5!*x^5-195/6!*x^6... %R A012872 %O A012872 0,4 %K A012872 sign,done %A A012872 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012873 %S A012873 1,1,3,12,43,555,49,37632,154867,3817845,45540649,409535148, %T A012873 12690409929,14813266559,3983011043675,28691304331680, %U A012873 1331245986549447,25689766775914647,419731311262402229 %V A012873 1,-1,-3,12,43,-555,-49,37632,-154867,-3817845,45540649,409535148, %W A012873 -12690409929,-14813266559,3983011043675,-28691304331680, %X A012873 -1331245986549447,25689766775914647,419731311262402229 %N A012873 arctan(sech(x)*log(x+1))=x-1/2!*x^2-3/3!*x^3+12/4!*x^4+43/5!*x^5... %R A012873 %O A012873 0,3 %K A012873 sign,done %A A012873 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012874 %S A012874 1,1,2,6,33,285,30,13580,35987,1418445,14453470,125352282,3470151531, %T A012874 8211284081,1077876542834,6851721057480,332020513124583, %U A012874 5842787569074567,104612291816295422,4297847210971952690 %V A012874 1,-1,-2,6,33,-285,-30,13580,-35987,-1418445,14453470,125352282, %W A012874 -3470151531,-8211284081,1077876542834,-6851721057480, %X A012874 -332020513124583,5842787569074567,104612291816295422 %N A012874 arcsinh(sech(x)*log(x+1))=x-1/2!*x^2-2/3!*x^3+6/4!*x^4+33/5!*x^5... %R A012874 %O A012874 0,3 %K A012874 sign,done %A A012874 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012875 %S A012875 1,1,1,12,63,375,3687,35056,378613,4917645,67955413,1033969596, %T A012875 17404675923,314140085987,6110547378491,127722302945280, %U A012875 2840677016304009,67146193511101593,1681517639666168201 %V A012875 1,-1,1,-12,63,-375,3687,-35056,378613,-4917645,67955413,-1033969596, %W A012875 17404675923,-314140085987,6110547378491,-127722302945280, %X A012875 2840677016304009,-67146193511101593,1681517639666168201 %N A012875 arctanh(sech(x)*log(x+1))=x-1/2!*x^2+1/3!*x^3-12/4!*x^4+63/5!*x^5... %R A012875 %O A012875 0,4 %K A012875 sign,done %A A012875 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012876 %S A012876 1,0,1,3,4,40,370,2100,19052,224712,2295380,27161420,388309832, %T A012876 5572831680,85093639488,1453531202760,26088826973648,491011275101888, %U A012876 9922199896825168,211576194636993072,4718410629650538880 %V A012876 1,0,1,-3,4,-40,370,-2100,19052,-224712,2295380,-27161420,388309832, %W A012876 -5572831680,85093639488,-1453531202760,26088826973648, %X A012876 -491011275101888,9922199896825168,-211576194636993072 %N A012876 sec(sech(x)*log(x+1))=1+1/2!*x^2-3/3!*x^3+4/4!*x^4-40/5!*x^5... %R A012876 %O A012876 0,4 %K A012876 sign,done %A A012876 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012877 %S A012877 1,0,1,3,6,60,120,3150,4592,195048,1007520,18349320,224812632, %T A012877 1637441520,47577070632,97108316760,12176518106048,54434672031488, %U A012877 3267323510285952,40295881951639488,953528538620154880 %V A012877 1,0,-1,3,6,-60,-120,3150,-4592,-195048,1007520,18349320,-224812632, %W A012877 -1637441520,47577070632,97108316760,-12176518106048,54434672031488, %X A012877 3267323510285952,-40295881951639488,-953528538620154880 %N A012877 sech(sech(x)*log(x+1))=1-1/2!*x^2+3/3!*x^3+6/4!*x^4-60/5!*x^5... %R A012877 %O A012877 0,4 %K A012877 sign,done %A A012877 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012878 %S A012878 1,1,1,1,7,5,145,499,2063,12055,128705,2156871,5154217,24423763, %T A012878 510686033,27205910523,254809389793,2396435716433,27371394484993, %U A012878 1214149548475407,18728499608356185,375616253471952085 %V A012878 1,1,1,-1,-7,5,145,499,-2063,-12055,128705,2156871,5154217,-24423763, %W A012878 510686033,27205910523,254809389793,2396435716433,27371394484993, %X A012878 1214149548475407,18728499608356185,375616253471952085 %N A012878 exp(sech(x)*arcsin(x))=1+x+1/2!*x^2-1/3!*x^3-7/4!*x^4+5/5!*x^5... %R A012878 %O A012878 0,5 %K A012878 sign,done %A A012878 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012879 %S A012879 1,1,1,4,19,20,565,1024,24743,147568,1450985,19148736,100090043, %T A012879 2934842560,5608180253,551525234688,703874231473,127249126657792, %U A012879 601015521145391,35789287036394496,309193460848468125 %V A012879 1,1,1,-4,-19,20,565,1024,-24743,-147568,1450985,19148736,-100090043, %W A012879 -2934842560,5608180253,551525234688,703874231473,-127249126657792, %X A012879 -601015521145391,35789287036394496,309193460848468125 %N A012879 exp(sech(x)*arctan(x))=1+x+1/2!*x^2-4/3!*x^3-19/4!*x^4+20/5!*x^5... %R A012879 %O A012879 0,4 %K A012879 sign,done %A A012879 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012881 %S A012881 1,1,1,3,15,5,345,889,11263,82167,455025,7869301,16466703,906141171, %T A012881 746021367,128450716913,480286325633,22562588189167,150637957014303, %U A012881 4955964959446253,46203820378253425,1381444138161821675 %V A012881 1,1,1,-3,-15,5,345,889,-11263,-82167,455025,7869301,-16466703, %W A012881 -906141171,-746021367,128450716913,480286325633,-22562588189167, %X A012881 -150637957014303,4955964959446253,46203820378253425 %N A012881 exp(sech(x)*arcsinh(x))=1+x+1/2!*x^2-3/3!*x^3-15/4!*x^4+5/5!*x^5... %R A012881 %O A012881 0,4 %K A012881 sign,done %A A012881 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012882 %S A012882 1,1,1,0,3,20,165,784,1337,26256,356745,4466176,31874997,435729216, %T A012882 5714452653,104111460608,1296863374193,23261262303488, %U A012882 357091592679441,7794968497086464,131690816886952045 %V A012882 1,1,1,0,-3,20,165,784,1337,26256,356745,4466176,31874997,435729216, %W A012882 5714452653,104111460608,1296863374193,23261262303488, %X A012882 357091592679441,7794968497086464,131690816886952045 %N A012882 exp(sech(x)*arctanh(x))=1+x+1/2!*x^2-3/4!*x^4+20/5!*x^5+165/6!*x^6... %R A012882 %O A012882 0,5 %K A012882 sign,done %A A012882 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012887 %S A012887 1,2,3,3,3,23,51,35,665,2017,2311,45133,146091,387025,5568437, %T A012887 15639707,99321807,1058587839,1821476879,34121660131,274379440173, %U A012887 74418715727,14824670374547,86166831190837,352836852874249 %V A012887 1,2,3,3,-3,-23,-51,35,665,2017,-2311,-45133,-146091,387025,5568437, %W A012887 15639707,-99321807,-1058587839,-1821476879,34121660131, %X A012887 274379440173,-74418715727,-14824670374547,-86166831190837 %N A012887 exp(sin(x)+log(x+1))=1+2*x+3/2!*x^2+3/3!*x^3-3/4!*x^4-23/5!*x^5... %R A012887 %O A012887 0,2 %K A012887 sign,done %A A012887 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012888 %S A012888 2,1,7,18,13,135,1614,10612,71215,637515,6443034,67830114,769960735, %T A012888 9523596355,126475570464,1788373677960,26860585215767, %U A012888 427142221117623,7163185240710714,126244734481260190 %V A012888 2,-1,-7,18,-13,135,-1614,10612,-71215,637515,-6443034,67830114, %W A012888 -769960735,9523596355,-126475570464,1788373677960,-26860585215767, %X A012888 427142221117623,-7163185240710714,126244734481260190 %N A012888 sin(sin(x)+log(x+1))=2*x-1/2!*x^2-7/3!*x^3+18/4!*x^4-13/5!*x^5... %R A012888 %O A012888 0,1 %K A012888 sign,done %A A012888 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012889 %S A012889 2,1,17,54,677,4950,65145,752024,11468069,176381640,3165529275, %T A012889 59818647768,1251370749059,27828301203248,668331142030125, %U A012889 17039769301121760,462939633071828473,13293952511690952000 %V A012889 2,-1,17,-54,677,-4950,65145,-752024,11468069,-176381640,3165529275, %W A012889 -59818647768,1251370749059,-27828301203248,668331142030125, %X A012889 -17039769301121760,462939633071828473,-13293952511690952000 %N A012889 tan(sin(x)+log(x+1))=2*x-1/2!*x^2+17/3!*x^3-54/4!*x^4+677/5!*x^5... %R A012889 %O A012889 0,1 %K A012889 sign,done %A A012889 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012890 %S A012890 2,1,15,42,653,4890,65051,1029560,10876589,341906400,2371373301, %T A012890 162702562440,368100726615,103982400082288,393050098566969, %U A012890 84905400106831200,995896955006440711,84935410120157510592 %V A012890 2,-1,-15,42,653,-4890,-65051,1029560,10876589,-341906400, %W A012890 -2371373301,162702562440,368100726615,-103982400082288, %X A012890 393050098566969,84905400106831200,-995896955006440711 %N A012890 arctan(sin(x)+log(x+1))=2*x-1/2!*x^2-15/3!*x^3+42/4!*x^4+653/5!*x^5... %R A012890 %O A012890 0,1 %K A012890 sign,done %A A012890 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012891 %S A012891 1,0,4,6,5,10,124,357,1765,20052,192746,2608045,36156029,495945762, %T A012891 7131236628,108900686685,1754698305289,29762316131304, %U A012891 531245939638022,9965541871978821,196101116893487289 %V A012891 1,0,-4,6,5,-10,-124,357,1765,-20052,192746,-2608045,36156029, %W A012891 -495945762,7131236628,-108900686685,1754698305289,-29762316131304, %X A012891 531245939638022,-9965541871978821,196101116893487289 %N A012891 cos(sin(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3+5/4!*x^4-10/5!*x^5... %R A012891 %O A012891 0,3 %K A012891 sign,done %A A012891 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012892 %S A012892 2,1,9,30,127,855,5852,46452,422101,4210605,46275042,555647334, %T A012892 7222813951,101114520507,1516765931792,24268153134120, %U A012892 412557147859433,7426039662804249,141094759708106686 %V A012892 2,-1,9,-30,127,-855,5852,-46452,422101,-4210605,46275042,-555647334, %W A012892 7222813951,-101114520507,1516765931792,-24268153134120, %X A012892 412557147859433,-7426039662804249,141094759708106686 %N A012892 sinh(sin(x)+log(x+1))=2*x-1/2!*x^2+9/3!*x^3-30/4!*x^4+127/5!*x^5... %R A012892 %O A012892 0,1 %K A012892 sign,done %A A012892 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012893 %S A012893 2,1,7,18,243,1785,19086,308980,2736225,90239805,495769586, %T A012893 38522052690,39766893593,22481798964989,111035038388104, %U A012893 16941789968380680,219516343596465735,15750892172912678361 %V A012893 2,-1,-7,18,243,-1785,-19086,308980,2736225,-90239805,-495769586, %W A012893 38522052690,39766893593,-22481798964989,111035038388104, %X A012893 16941789968380680,-219516343596465735,-15750892172912678361 %N A012893 arcsinh(sin(x)+log(x+1))=2*x-1/2!*x^2-7/3!*x^3+18/4!*x^4+243/5!*x^5... %R A012893 %O A012893 0,1 %K A012893 sign,done %A A012893 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012894 %S A012894 2,1,15,42,397,2970,18907,329784,1046557,52378200,39245283, %T A012894 11058935448,66464051873,2907583542864,39841515891953, %U A012894 884318369944800,23533039989918007,273588980128387776 %V A012894 2,-1,-15,42,397,-2970,-18907,329784,1046557,-52378200,39245283, %W A012894 11058935448,-66464051873,-2907583542864,39841515891953, %X A012894 884318369944800,-23533039989918007,-273588980128387776 %N A012894 tanh(sin(x)+log(x+1))=2*x-1/2!*x^2-15/3!*x^3+42/4!*x^4+397/5!*x^5... %R A012894 %O A012894 0,1 %K A012894 sign,done %A A012894 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012895 %S A012895 2,1,17,54,933,6870,133689,1657880,36953013,655575120,16777241059, %T A012895 387038985960,11324556702587,320046618771152,10626198107224309, %U A012895 353798609245392480,13212399090164058153,504598024074891866688 %V A012895 2,-1,17,-54,933,-6870,133689,-1657880,36953013,-655575120, %W A012895 16777241059,-387038985960,11324556702587,-320046618771152, %X A012895 10626198107224309,-353798609245392480,13212399090164058153 %N A012895 arctanh(sin(x)+log(x+1))=2*x-1/2!*x^2+17/3!*x^3-54/4!*x^4+933/5!*x^5... %R A012895 %O A012895 0,1 %K A012895 sign,done %A A012895 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012896 %S A012896 1,0,4,6,27,150,804,5817,47117,420084,4208294,46320175,555501243, %T A012896 7222426926,101120088944,1516750292085,24268053812313, %U A012896 412558206447272,7426037841327370,141094725586446555 %V A012896 1,0,4,-6,27,-150,804,-5817,47117,-420084,4208294,-46320175, %W A012896 555501243,-7222426926,101120088944,-1516750292085,24268053812313, %X A012896 -412558206447272,7426037841327370,-141094725586446555 %N A012896 cosh(sin(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+27/4!*x^4-150/5!*x^5... %R A012896 %O A012896 0,3 %K A012896 sign,done %A A012896 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012897 %S A012897 1,0,4,6,91,470,6004,57057,807281,10925316,181019254,3109774415, %T A012897 60388378207,1243237163142,27924671116008,666732185288925, %U A012897 17061240258678497,462532118657434344,13300045106193385114 %V A012897 1,0,4,-6,91,-470,6004,-57057,807281,-10925316,181019254,-3109774415, %W A012897 60388378207,-1243237163142,27924671116008,-666732185288925, %X A012897 17061240258678497,-462532118657434344,13300045106193385114 %N A012897 sec(sin(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+91/4!*x^4-470/5!*x^5... %R A012897 %O A012897 0,3 %K A012897 sign,done %A A012897 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012898 %S A012898 1,0,4,6,69,330,2604,29757,143689,3993444,5337254,737504515, %T A012898 2332694727,175190250378,1654468461772,50077708127475, %U A012898 960691803929007,15733047012443176,589399300515721526 %V A012898 1,0,-4,6,69,-330,-2604,29757,143689,-3993444,-5337254,737504515, %W A012898 -2332694727,-175190250378,1654468461772,50077708127475, %X A012898 -960691803929007,-15733047012443176,589399300515721526 %N A012898 sech(sin(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3+69/4!*x^4-330/5!*x^5... %R A012898 %O A012898 0,3 %K A012898 sign,done %A A012898 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012899 %S A012899 1,2,3,5,13,45,205,1115,7305,54305,464425,4380675,46230925,528514025, %T A012899 6635260125,89124741875,1297262292625,20019445694625,331450831284625, %U A012899 5777919619047875,107221860383503125,2083573516715965625 %N A012899 exp(arcsin(x)+log(x+1))=1+2*x+3/2!*x^2+5/3!*x^3+13/4!*x^4+45/5!*x^5... %R A012899 %O A012899 0,2 %K A012899 nonn %A A012899 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012900 %S A012900 2,1,11,30,471,3015,58032,643188,14520933,236345445,6153059178, %T A012900 133142041494,3956037592815,106753027544163,3588266331746712, %U A012900 115669410756336360,4361169482903542617,162972793825872488073 %V A012900 2,-1,11,-30,471,-3015,58032,-643188,14520933,-236345445,6153059178, %W A012900 -133142041494,3956037592815,-106753027544163,3588266331746712, %X A012900 -115669410756336360,4361169482903542617,-162972793825872488073 %N A012900 arcsin(arcsin(x)+log(x+1))=2*x-1/2!*x^2+11/3!*x^3-30/4!*x^4+471/5!*x^5... %R A012900 %O A012900 0,1 %K A012900 sign,done %A A012900 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012901 %S A012901 2,1,19,54,845,5430,87295,918680,16270805,238487400,4764161125, %T A012901 88762680600,2008590276875,45022914664000,1149365559242875, %U A012901 29931318941628000,855642174671233625,25288573510727280000 %V A012901 2,-1,19,-54,845,-5430,87295,-918680,16270805,-238487400,4764161125, %W A012901 -88762680600,2008590276875,-45022914664000,1149365559242875, %X A012901 -29931318941628000,855642174671233625,-25288573510727280000 %N A012901 tan(arcsin(x)+log(x+1))=2*x-1/2!*x^2+19/3!*x^3-54/4!*x^4+845/5!*x^5... %R A012901 %O A012901 0,1 %K A012901 sign,done %A A012901 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012902 %S A012902 2,1,13,42,501,4410,41949,837816,5284125,248270400,488121291, %T A012902 104085035208,402493400001,57558177252576,685798849437471, %U A012902 39562885528800480,935890930678896423,31753772314067599488 %V A012902 2,-1,-13,42,501,-4410,-41949,837816,5284125,-248270400,-488121291, %W A012902 104085035208,-402493400001,-57558177252576,685798849437471, %X A012902 39562885528800480,-935890930678896423,-31753772314067599488 %N A012902 arctan(arcsin(x)+log(x+1))=2*x-1/2!*x^2-13/3!*x^3+42/4!*x^4+501/5!*x^5... %R A012902 %O A012902 0,1 %K A012902 sign,done %A A012902 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012903 %S A012903 1,0,4,6,11,10,20,735,6325,72900,677450,8170525,88464325,1197032850, %T A012903 15007986500,229038025125,3278247987625,56064152729000, %U A012903 903660871343750,17171288454601125,308020615136820625 %V A012903 1,0,-4,6,-11,10,20,-735,6325,-72900,677450,-8170525,88464325, %W A012903 -1197032850,15007986500,-229038025125,3278247987625,-56064152729000, %X A012903 903660871343750,-17171288454601125,308020615136820625 %N A012903 cos(arcsin(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3-11/4!*x^4+10/5!*x^5... %R A012903 %O A012903 0,3 %K A012903 sign,done %A A012903 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012904 %S A012904 2,1,11,30,215,1095,9200,67060,676565,6364125,75816050,870716550, %T A012904 12014125175,162677426275,2556597056000,39838813521000, %U A012904 703292880031625,12389158068197625,242880759376082750 %V A012904 2,-1,11,-30,215,-1095,9200,-67060,676565,-6364125,75816050, %W A012904 -870716550,12014125175,-162677426275,2556597056000,-39838813521000, %X A012904 703292880031625,-12389158068197625,242880759376082750 %N A012904 sinh(arcsin(x)+log(x+1))=2*x-1/2!*x^2+11/3!*x^3-30/4!*x^4+215/5!*x^5... %R A012904 %O A012904 0,1 %K A012904 sign,done %A A012904 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012905 %S A012905 2,1,5,18,171,1545,10782,239988,1096641,62140365,24333498, %T A012905 23204064114,125220001599,11614731493365,159067996590888, %U A012905 7270653671958600,190675584788792103,5297005049241975993 %V A012905 2,-1,-5,18,171,-1545,-10782,239988,1096641,-62140365,-24333498, %W A012905 23204064114,-125220001599,-11614731493365,159067996590888, %X A012905 7270653671958600,-190675584788792103,-5297005049241975993 %N A012905 arcsinh(arcsin(x)+log(x+1))=2*x-1/2!*x^2-5/3!*x^3+18/4!*x^4+171/5!*x^5... %R A012905 %O A012905 0,1 %K A012905 sign,done %A A012905 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012906 %S A012906 2,1,13,42,245,2490,4765,209720,530035,22851000,212068925,2756074200, %T A012906 63885256825,209294612800,19894322342375,99845235204000, %U A012906 6458228568556375,102934030004208000,1969133836186414625 %V A012906 2,-1,-13,42,245,-2490,-4765,209720,-530035,-22851000,212068925, %W A012906 2756074200,-63885256825,-209294612800,19894322342375, %X A012906 -99845235204000,-6458228568556375,102934030004208000 %N A012906 tanh(arcsin(x)+log(x+1))=2*x-1/2!*x^2-13/3!*x^3+42/4!*x^4+245/5!*x^5... %R A012906 %O A012906 0,1 %K A012906 sign,done %A A012906 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012907 %S A012907 2,1,19,54,1101,7350,164799,1896216,47373669,798078960,22351446621, %T A012907 499519816488,15693898179267,436537157408352,15341994434915379, %U A012907 508785690545526240,19903928558305223817,763707284830490571648 %V A012907 2,-1,19,-54,1101,-7350,164799,-1896216,47373669,-798078960, %W A012907 22351446621,-499519816488,15693898179267,-436537157408352, %X A012907 15341994434915379,-508785690545526240,19903928558305223817 %N A012907 arctanh(arcsin(x)+log(x+1))=2*x-1/2!*x^2+19/3!*x^3-54/4!*x^4... %R A012907 %O A012907 0,1 %K A012907 sign,done %A A012907 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012908 %S A012908 1,0,4,6,43,170,1300,8085,74365,622260,6828550,71435375,916947475, %T A012908 11485611150,169312686400,2467472314125,41136075813625, %U A012908 683273434337000,12720608899482250,237102839757034875 %V A012908 1,0,4,-6,43,-170,1300,-8085,74365,-622260,6828550,-71435375, %W A012908 916947475,-11485611150,169312686400,-2467472314125,41136075813625, %X A012908 -683273434337000,12720608899482250,-237102839757034875 %N A012908 cosh(arcsin(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+43/4!*x^4-170/5!*x^5... %R A012908 %O A012908 0,3 %K A012908 sign,done %A A012908 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012909 %S A012909 1,0,4,6,107,490,7780,66045,1113185,14056740,264337750,4409272175, %T A012909 93796875575,1927625491350,46373594683000,1124449061497125, %U A012909 30408904419466625,845698069130473000,25503782871418452250 %V A012909 1,0,4,-6,107,-490,7780,-66045,1113185,-14056740,264337750, %W A012909 -4409272175,93796875575,-1927625491350,46373594683000, %X A012909 -1124449061497125,30408904419466625,-845698069130473000 %N A012909 sec(arcsin(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+107/4!*x^4-490/5!*x^5... %R A012909 %O A012909 0,3 %K A012909 sign,done %A A012909 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012910 %S A012910 1,0,4,6,53,310,1180,21945,3175,2137140,11656250,251460275, %T A012910 3687426175,28037901450,1119181111100,870863209125,357796134031375, %U A012910 3533382651695000,115201679883533750,2799046565543314125 %V A012910 1,0,-4,6,53,-310,-1180,21945,-3175,-2137140,11656250,251460275, %W A012910 -3687426175,-28037901450,1119181111100,-870863209125, %X A012910 -357796134031375,3533382651695000,115201679883533750 %N A012910 sech(arcsin(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3+53/4!*x^4-310/5!*x^5... %R A012910 %O A012910 0,3 %K A012910 sign,done %A A012910 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012911 %S A012911 2,3,12,66,488,4464,49112,628624,9201728,151417984,2768998144, %T A012911 55689376768,1221892625536,29042327308032,743397015460096, %U A012911 20387623448193024,596407256671842304,18537290145521811456 %V A012911 2,-3,12,-66,488,-4464,49112,-628624,9201728,-151417984,2768998144, %W A012911 -55689376768,1221892625536,-29042327308032,743397015460096, %X A012911 -20387623448193024,596407256671842304,-18537290145521811456 %N A012911 log(arcsin(x)+exp(x))=2*x-3/2!*x^2+12/3!*x^3-66/4!*x^4+488/5!*x^5... %R A012911 %O A012911 0,1 %K A012911 sign,done %A A012911 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012912 %S A012912 1,2,4,8,16,42,184,1192,8320,63954,529824,5076392,52633728,615675322, %T A012912 7595502464,104080146632,1487529832448,23400806440098, %U A012912 380497987834368,6758267272643528,123182327672588288 %N A012912 exp(arcsin(x)+sin(x))=1+2*x+4/2!*x^2+8/3!*x^3+16/4!*x^4+42/5!*x^5... %R A012912 %O A012912 0,2 %K A012912 nonn %A A012912 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012913 %S A012913 2,8,298,29864,5869522,1909683624,928881876154,631294998872264, %T A012913 571333821748459682,664222773223901955016,964668706096244776942666, %U A012913 1711569530812742078746227816,3642858069303424513561283367026 %N A012913 arcsin(arcsin(x)+sin(x))=2*x+8/3!*x^3+298/5!*x^5+29864/7!*x^7... %R A012913 %O A012913 0,1 %K A012913 nonn %A A012913 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012914 %S A012914 2,16,522,36720,4461330,830213360,219316022746,78023205911120, %T A012914 35958898030220578,20839302944521398608,14832042611278187449258, %U A012914 12718289601867562421920688,12931877167403668813222980658 %N A012914 tan(arcsin(x)+sin(x))=2*x+16/3!*x^3+522/5!*x^5+36720/7!*x^7... %R A012914 %O A012914 0,1 %K A012914 nonn %A A012914 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012915 %S A012915 2,16,778,93616,21074194,7620799536,4042289549530,2956250841424336, %T A012915 2851001343645856034,3505606623923415246032, %U A012915 5352926041940658837364906,9937511692827308946423419760 %V A012915 2,-16,778,-93616,21074194,-7620799536,4042289549530, %W A012915 -2956250841424336,2851001343645856034,-3505606623923415246032, %X A012915 5352926041940658837364906,-9937511692827308946423419760 %N A012915 arctan(arcsin(x)+sin(x))=2*x-16/3!*x^3+778/5!*x^5-93616/7!*x^7... %R A012915 %O A012915 0,1 %K A012915 sign,done %A A012915 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012916 %S A012916 1,4,16,184,1152,99744,5133696,906195840,171321409536,44275226644992, %T A012916 14354506519279616,5752303885373679616,2787951257303019290624, %U A012916 1607824416338974332624896,1088043979959981399100456960 %V A012916 1,-4,16,-184,1152,-99744,-5133696,-906195840,-171321409536, %W A012916 -44275226644992,-14354506519279616,-5752303885373679616, %X A012916 -2787951257303019290624,-1607824416338974332624896 %N A012916 cos(arcsin(x)+sin(x))=1-4/2!*x^2+16/4!*x^4-184/6!*x^6+1152/8!*x^8... %R A012916 %O A012916 0,2 %K A012916 sign,done %A A012916 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012917 %S A012917 2,8,42,1192,63954,5076392,615675322,104080146632,23400806440098, %T A012917 6758267272643528,2438041675354644298,1074467739302301394024, %U A012917 568047079307626755260018,354831538774222730953869416 %N A012917 sinh(arcsin(x)+sin(x))=2*x+8/3!*x^3+42/5!*x^5+1192/7!*x^7... %R A012917 %O A012917 0,1 %K A012917 nonn %A A012917 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012918 %S A012918 2,8,298,29416,5805010,1886608616,917162117818,622654532107336, %T A012918 562865488506452130,653565528977071759176,947976470998802461571146, %U A012918 1679754223193478305467460648,3570405336414257223991774221426 %V A012918 2,-8,298,-29416,5805010,-1886608616,917162117818,-622654532107336, %W A012918 562865488506452130,-653565528977071759176,947976470998802461571146, %X A012918 -1679754223193478305467460648,3570405336414257223991774221426 %N A012918 arcsinh(arcsin(x)+sin(x))=2*x-8/3!*x^3+298/5!*x^5-29416/7!*x^7... %R A012918 %O A012918 0,1 %K A012918 sign,done %A A012918 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012919 %S A012919 2,16,522,36272,4332306,790580272,204634311130,71299016389072, %T A012919 32177435417679138,18258713934191944912,12723759781734763643818, %U A012919 10682188209509894403494768,10634244661728432806888813618 %V A012919 2,-16,522,-36272,4332306,-790580272,204634311130,-71299016389072, %W A012919 32177435417679138,-18258713934191944912,12723759781734763643818, %X A012919 -10682188209509894403494768,10634244661728432806888813618 %N A012919 tanh(arcsin(x)+sin(x))=2*x-16/3!*x^3+522/5!*x^5-36272/7!*x^7... %R A012919 %O A012919 0,1 %K A012919 sign,done %A A012919 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012920 %S A012920 2,16,778,94064,21203218,7679356144,4079013377242,2987290363267664, %T A012920 2884950332801855778,3552295906912003762512, %U A012920 5431778247093958269249706,10097951729467246217104155568 %N A012920 arctanh(arcsin(x)+sin(x))=2*x+16/3!*x^3+778/5!*x^5+94064/7!*x^7... %R A012920 %O A012920 0,1 %K A012920 nonn %A A012920 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012921 %S A012921 1,4,16,184,8320,529824,52633728,7595502464,1487529832448, %T A012921 380497987834368,123182327672588288,49234752596303947776, %U A012921 23812565081465676070912,13707078729819239829938176 %N A012921 cosh(arcsin(x)+sin(x))=1+4/2!*x^2+16/4!*x^4+184/6!*x^6+8320/8!*x^8... %R A012921 %O A012921 0,2 %K A012921 nonn %A A012921 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012922 %S A012922 1,4,80,4024,380544,57960864,12957750912,3995431992192, %T A012922 1624807254577152,842520079540277760,542544550547724265472, %U A012922 424772248087529271371776,397354005571214204967354368 %N A012922 sec(arcsin(x)+sin(x))=1+4/2!*x^2+80/4!*x^4+4024/6!*x^6+380544/8!*x^8... %R A012922 %O A012922 0,2 %K A012922 nonn %A A012922 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012923 %S A012923 1,4,80,4024,373376,55810464,12218736768,3690395100032, %T A012923 1469402675519488,746064489482211840,470375829415840688128, %U A012923 360567791801354924107776,330231250494338680414994432 %V A012923 1,-4,80,-4024,373376,-55810464,12218736768,-3690395100032, %W A012923 1469402675519488,-746064489482211840,470375829415840688128, %X A012923 -360567791801354924107776,330231250494338680414994432 %N A012923 sech(arcsin(x)+sin(x))=1-4/2!*x^2+80/4!*x^4-4024/6!*x^6+373376/8!*x^8... %R A012923 %O A012923 0,2 %K A012923 sign,done %A A012923 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012924 %S A012924 1,2,3,6,21,82,399,2198,13769,96514,741659,6271430,57131613, %T A012924 564082066,5940252647,66977636630,799946033937,10133856674178, %U A012924 135255348669235,1901070660453382,28024821142319397 %N A012924 exp(tan(x)+log(x+1))=1+2*x+3/2!*x^2+6/3!*x^3+21/4!*x^4+82/5!*x^5... %R A012924 %O A012924 0,2 %K A012924 nonn %A A012924 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012925 %S A012925 2,1,4,18,118,495,3336,16492,124390,697995,5665356,31847574, %T A012925 230282830,297803779,15399702624,527666397480,11555528032498, %U A012925 238917247672905,4947107036570988,102644658064599590 %V A012925 2,-1,-4,18,-118,495,-3336,16492,-124390,697995,-5665356,31847574, %W A012925 -230282830,297803779,15399702624,-527666397480,11555528032498, %X A012925 -238917247672905,4947107036570988,-102644658064599590 %N A012925 sin(tan(x)+log(x+1))=2*x-1/2!*x^2-4/3!*x^3+18/4!*x^4-118/5!*x^5... %R A012925 %O A012925 0,1 %K A012925 sign,done %A A012925 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012926 %S A012926 2,1,12,30,518,3135,64792,691180,16502714,261559125,7121210052, %T A012926 151437029370,4664635385070,124619795266603,4313193388041072, %U A012926 138442144387249560,5347435223354818034,199835788440955821417 %V A012926 2,-1,12,-30,518,-3135,64792,-691180,16502714,-261559125,7121210052, %W A012926 -151437029370,4664635385070,-124619795266603,4313193388041072, %X A012926 -138442144387249560,5347435223354818034,-199835788440955821417 %N A012926 arcsin(tan(x)+log(x+1))=2*x-1/2!*x^2+12/3!*x^3-30/4!*x^4+518/5!*x^5... %R A012926 %O A012926 0,1 %K A012926 sign,done %A A012926 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012927 %S A012927 2,1,20,54,932,5670,99648,1005704,19127984,273119400,5764554528, %T A012927 106046677968,2504052726944,55986392252336,1478337150849408, %U A012927 38674242587249280,1136792156499528448,33912193367914763904 %V A012927 2,-1,20,-54,932,-5670,99648,-1005704,19127984,-273119400, %W A012927 5764554528,-106046677968,2504052726944,-55986392252336, %X A012927 1478337150849408,-38674242587249280,1136792156499528448 %N A012927 tan(tan(x)+log(x+1))=2*x-1/2!*x^2+20/3!*x^3-54/4!*x^4+932/5!*x^5... %R A012927 %O A012927 0,1 %K A012927 sign,done %A A012927 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012928 %S A012928 1,0,4,6,19,20,26,1218,13021,123624,1277216,12476530,142470545, %T A012928 1576920228,20310039174,259802497290,3783797829145,55910099232336, %U A012928 917432601399236,15504261990312618,284553809208217365 %V A012928 1,0,-4,6,-19,20,26,-1218,13021,-123624,1277216,-12476530,142470545, %W A012928 -1576920228,20310039174,-259802497290,3783797829145,-55910099232336, %X A012928 917432601399236,-15504261990312618,284553809208217365 %N A012928 cos(tan(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3-19/4!*x^4+20/5!*x^5... %R A012928 %O A012928 0,3 %K A012928 sign,done %A A012928 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012929 %S A012929 2,1,12,30,262,1215,11480,79212,843946,7748685,93797220,1071775914, %T A012929 14707276846,200262193131,3096277157360,48775756669080, %U A012929 843212284894418,15047773283930841,288546782603059900 %V A012929 2,-1,12,-30,262,-1215,11480,-79212,843946,-7748685,93797220, %W A012929 -1071775914,14707276846,-200262193131,3096277157360,-48775756669080, %X A012929 843212284894418,-15047773283930841,288546782603059900 %N A012929 sinh(tan(x)+log(x+1))=2*x-1/2!*x^2+12/3!*x^3-30/4!*x^4+262/5!*x^5... %R A012929 %O A012929 0,1 %K A012929 sign,done %A A012929 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012930 %S A012930 2,1,4,18,138,1425,7368,207340,481578,49899645,122677012,17081066310, %T A012930 160273109518,7677995678717,153514412519392,4141750812789720, %U A012930 158348457721397742,2343499454063177433,185599982462373683628 %V A012930 2,-1,-4,18,138,-1425,-7368,207340,481578,-49899645,122677012, %W A012930 17081066310,-160273109518,-7677995678717,153514412519392, %X A012930 4141750812789720,-158348457721397742,-2343499454063177433 %N A012930 arcsinh(tan(x)+log(x+1))=2*x-1/2!*x^2-4/3!*x^3+18/4!*x^4+138/5!*x^5... %R A012930 %O A012930 0,1 %K A012930 sign,done %A A012930 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012931 %S A012931 2,1,12,42,172,2250,896,153384,952688,11282040,209648736,279312528, %T A012931 43286799008,318803909424,8375677890176,180484941598080, %U A012931 918969731775232,79664942329607808,561407566293575168 %V A012931 2,-1,-12,42,172,-2250,896,153384,-952688,-11282040,209648736, %W A012931 279312528,-43286799008,318803909424,8375677890176,-180484941598080, %X A012931 -918969731775232,79664942329607808,-561407566293575168 %N A012931 tanh(tan(x)+log(x+1))=2*x-1/2!*x^2-12/3!*x^3+42/4!*x^4+172/5!*x^5... %R A012931 %O A012931 0,1 %K A012931 sign,done %A A012931 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012932 %S A012932 2,1,20,54,1188,7590,181632,2019080,53249472,874603440,25606617472, %T A012932 562552304160,18326040005024,504598523011856,18267771678474112, %U A012932 603047158364227200,24178616400492978432,927480579061871147904 %V A012932 2,-1,20,-54,1188,-7590,181632,-2019080,53249472,-874603440, %W A012932 25606617472,-562552304160,18326040005024,-504598523011856, %X A012932 18267771678474112,-603047158364227200,24178616400492978432 %N A012932 arctanh(tan(x)+log(x+1))=2*x-1/2!*x^2+20/3!*x^3-54/4!*x^4+1188/5!*x^5... %R A012932 %O A012932 0,1 %K A012932 sign,done %A A012932 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012933 %S A012933 1,0,4,6,51,180,1614,9282,92981,747432,8490344,87525790,1128907527, %T A012933 14143194780,206202445778,3029299520730,49575702703017, %U A012933 833078428220240,15183028632600076,286645711942606518 %V A012933 1,0,4,-6,51,-180,1614,-9282,92981,-747432,8490344,-87525790, %W A012933 1128907527,-14143194780,206202445778,-3029299520730,49575702703017, %X A012933 -833078428220240,15183028632600076,-286645711942606518 %N A012933 cosh(tan(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+51/4!*x^4-180/5!*x^5... %R A012933 %O A012933 0,3 %K A012933 sign,done %A A012933 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012934 %S A012934 1,0,4,6,115,500,8734,70602,1289945,15743304,315266344,5159155430, %T A012934 115185531211,2350119405036,58713986375802,1425578090696970, %U A012934 39746678648110001,1113352395040853712,34449481838164198060 %V A012934 1,0,4,-6,115,-500,8734,-70602,1289945,-15743304,315266344, %W A012934 -5159155430,115185531211,-2350119405036,58713986375802, %X A012934 -1425578090696970,39746678648110001,-1113352395040853712 %N A012934 sec(tan(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+115/4!*x^4-500/5!*x^5... %R A012934 %O A012934 0,3 %K A012934 sign,done %A A012934 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012935 %S A012935 1,0,4,6,45,300,534,18102,53375,1330056,14429056,83284630,3017899731, %T A012935 8484163116,613472266078,8040573553530,103350766263711, %U A012935 3850271965266992,4102891850851420,1601296818449786010 %V A012935 1,0,-4,6,45,-300,-534,18102,-53375,-1330056,14429056,83284630, %W A012935 -3017899731,8484163116,613472266078,-8040573553530,-103350766263711, %X A012935 3850271965266992,-4102891850851420,-1601296818449786010 %N A012935 sech(tan(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3+45/4!*x^4-300/5!*x^5... %R A012935 %O A012935 0,3 %K A012935 sign,done %A A012935 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012936 %S A012936 1,2,4,9,24,89,438,2527,16072,111257,851866,7138923,65286276, %T A012936 641779181,6769229670,76040241775,908362886512,11481062493713, %U A012936 153172480730482,2149793170916115,31664861861245692 %N A012936 exp(tan(x)+sin(x))=1+2*x+4/2!*x^2+9/3!*x^3+24/4!*x^4+89/5!*x^5... %R A012936 %O A012936 0,2 %K A012936 nonn %A A012936 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012937 %S A012937 2,7,9,865,12375,848621,34580971,1631142593,100600927153, %T A012937 62231815768555,20774283625070381,6639875773736986167, %U A012937 2242689817858462241481,821491704576305014178467 %V A012937 2,-7,9,-865,-12375,-848621,-34580971,-1631142593,100600927153, %W A012937 62231815768555,20774283625070381,6639875773736986167, %X A012937 2242689817858462241481,821491704576305014178467 %N A012937 sin(tan(x)+sin(x))=2*x-7/3!*x^3+9/5!*x^5-865/7!*x^7-12375/9!*x^9... %R A012937 %O A012937 0,1 %K A012937 sign,done %A A012937 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012938 %S A012938 2,9,345,35679,7287705,2469409899,1251685072365,886694457686319, %T A012938 836562454066455825,1013979474894148785939,1535427152182443806492085, %U A012938 2840548817963811288388584759,6304091268712286478093099125145 %N A012938 arcsin(tan(x)+sin(x))=2*x+9/3!*x^3+345/5!*x^5+35679/7!*x^7... %R A012938 %O A012938 0,1 %K A012938 nonn %A A012938 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012939 %S A012939 2,17,609,47183,6302193,1287739735,373294251737,145684622344879, %T A012939 73644231787309153,46808510431782973735,36537199084739607908105, %U A012939 34359533746606613833938495,38314231054861075994802320721 %N A012939 tan(tan(x)+sin(x))=2*x+17/3!*x^3+609/5!*x^5+47183/7!*x^7... %R A012939 %O A012939 0,1 %K A012939 nonn %A A012939 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012940 %S A012940 1,4,8,118,1912,53094,7487532,722809274,92118225104,13286089862286, %T A012940 2227449108601940,418148868660099330,84975662262230959480, %U A012940 17350569219593304893078,2817250972553523348038716 %V A012940 1,-4,8,-118,1912,53094,7487532,722809274,92118225104, %W A012940 13286089862286,2227449108601940,418148868660099330, %X A012940 84975662262230959480,17350569219593304893078 %N A012940 cos(tan(x)+sin(x))=1-4/2!*x^2+8/4!*x^4-118/6!*x^6+1912/8!*x^8... %R A012940 %O A012940 0,2 %K A012940 sign,done %A A012940 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012941 %S A012941 2,9,89,2527,111257,7138923,641779181,76040241775,11481062493713, %T A012941 2149793170916115,488379128031442997,132245839817990044279, %U A012941 42060741963935894795801,15518361679394598879383835 %N A012941 sinh(tan(x)+sin(x))=2*x+9/3!*x^3+89/5!*x^5+2527/7!*x^7... %R A012941 %O A012941 0,1 %K A012941 nonn %A A012941 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012942 %S A012942 2,7,265,25057,4755625,1487826157,695606193685,454203430112257, %T A012942 394845201696352945,440870517608275534357,614891740513394365279405, %U A012942 1047641908006405960227528457,2141116578378965145859645589065 %V A012942 2,-7,265,-25057,4755625,-1487826157,695606193685,-454203430112257, %W A012942 394845201696352945,-440870517608275534357,614891740513394365279405, %X A012942 -1047641908006405960227528457,2141116578378965145859645589065 %N A012942 arcsinh(tan(x)+sin(x))=2*x-7/3!*x^3+265/5!*x^5-25057/7!*x^7... %R A012942 %O A012942 0,1 %K A012942 sign,done %A A012942 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012943 %S A012943 2,15,449,28721,3151889,528627033,125743579433,40263668914097, %T A012943 16699083371803553,8708208808970477865,5576841084485883897593, %U A012943 4302777965593093610367809,3936500695596850373178005681 %V A012943 2,-15,449,-28721,3151889,-528627033,125743579433,-40263668914097, %W A012943 16699083371803553,-8708208808970477865,5576841084485883897593, %X A012943 -4302777965593093610367809,3936500695596850373178005681 %N A012943 tanh(tan(x)+sin(x))=2*x-15/3!*x^3+449/5!*x^5-28721/7!*x^7... %R A012943 %O A012943 0,1 %K A012943 sign,done %A A012943 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012944 %S A012944 2,17,865,109007,25619185,9676271447,5360201676505,4094035686738287, %T A012944 4123461735603625825,5295201587012317791527, %U A012944 8444330016251458512555145,16372171162004294836053543167 %N A012944 arctanh(tan(x)+sin(x))=2*x+17/3!*x^3+865/5!*x^5+109007/7!*x^7... %R A012944 %O A012944 0,1 %K A012944 nonn %A A012944 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012945 %S A012945 1,4,24,438,16072,851866,65286276,6769229670,908362886512, %T A012945 153172480730482,31664861861245692,7869073015313071518, %U A012945 2313193245685672638952,793542325131834122104042 %N A012945 cosh(tan(x)+sin(x))=1+4/2!*x^2+24/4!*x^4+438/6!*x^6+16072/8!*x^8... %R A012945 %O A012945 0,2 %K A012945 nonn %A A012945 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012946 %S A012946 1,4,88,4918,512840,85832346,21060321252,7123975341478, %T A012946 3177627678241264,1807126392930146418,1276246453970596099996, %U A012946 1095817970658515950880094,1124188719460916437784957096 %N A012946 sec(tan(x)+sin(x))=1+4/2!*x^2+88/4!*x^4+4918/6!*x^6+512840/8!*x^8... %R A012946 %O A012946 0,2 %K A012946 nonn %A A012946 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012947 %S A012947 1,4,72,3318,283640,38913946,7833273228,2173778522118, %T A012947 795497453081936,371167668444757618,215062106038617789684, %U A012947 151501184773295673275454,127516166752654555516090424 %V A012947 1,-4,72,-3318,283640,-38913946,7833273228,-2173778522118, %W A012947 795497453081936,-371167668444757618,215062106038617789684, %X A012947 -151501184773295673275454,127516166752654555516090424 %N A012947 sech(tan(x)+sin(x))=1-4/2!*x^2+72/4!*x^4-3318/6!*x^6+283640/8!*x^8... %R A012947 %O A012947 0,2 %K A012947 sign,done %A A012947 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012948 %S A012948 1,2,4,11,40,177,934,5665,39064,301209,2572314,24156365,247234332, %T A012948 2751134557,33003190406,426920246945,5905698391952,87530592395793, %U A012948 1378247307547506,23127717388170197,409930747848171812 %N A012948 exp(tan(x)+arcsin(x))=1+2*x+4/2!*x^2+11/3!*x^3+40/4!*x^4+177/5!*x^5... %R A012948 %O A012948 0,2 %K A012948 nonn %A A012948 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012949 %S A012949 2,5,63,1311,40503,1746571,107820971,11358568591,2325027955727, %T A012949 758733754118995,316897192245332147,156022193472911939575, %U A012949 88731619980459755789207,57999122346814550350950715 %V A012949 2,-5,-63,-1311,-40503,-1746571,-107820971,-11358568591, %W A012949 -2325027955727,-758733754118995,-316897192245332147, %X A012949 -156022193472911939575,-88731619980459755789207 %N A012949 sin(tan(x)+arcsin(x))=2*x-5/3!*x^3-63/5!*x^5-1311/7!*x^7-40503/9!*x^9... %R A012949 %O A012949 0,1 %K A012949 sign,done %A A012949 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012950 %S A012950 2,11,433,47777,10445209,3792307917,2060929368925,1565891035323617, %T A012950 1584908855099457809,2061186455316106953685, %U A012950 3349214731529157234143461,6649249948563897129719525769 %N A012950 arcsin(tan(x)+arcsin(x))=2*x+11/3!*x^3+433/5!*x^5+47777/7!*x^7... %R A012950 %O A012950 0,1 %K A012950 nonn %A A012950 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012951 %S A012951 2,19,777,68913,10552545,2473498553,822718602721,368440852318193, %T A012951 213728212488651073,155891727584133609833,139640409724657756366273, %U A012951 150696011591407998679347809,192838464530919232345949380513 %N A012951 tan(tan(x)+arcsin(x))=2*x+19/3!*x^3+777/5!*x^5+68913/7!*x^7... %R A012951 %O A012951 0,1 %K A012951 nonn %A A012951 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012952 %S A012952 1,4,8,26,4008,288486,23670420,2395713498,304636017840, %T A012952 49472656345230,10516377983584300,2991272711709675554, %U A012952 1135988864475032518984,557539993775779096522774 %V A012952 1,-4,-8,26,4008,288486,23670420,2395713498,304636017840, %W A012952 49472656345230,10516377983584300,2991272711709675554, %X A012952 1135988864475032518984,557539993775779096522774 %N A012952 cos(tan(x)+arcsin(x))=1-4/2!*x^2-8/4!*x^4+26/6!*x^6+4008/8!*x^8... %R A012952 %O A012952 0,2 %K A012952 sign,done %A A012952 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012953 %S A012953 2,11,177,5665,301209,24156365,2751134557,426920246945, %T A012953 87530592395793,23127717388170197,7706606195256664933, %U A012953 3175507031728096474441,1589048123886691201083353 %N A012953 sinh(tan(x)+arcsin(x))=2*x+11/3!*x^3+177/5!*x^5+5665/7!*x^7... %R A012953 %O A012953 0,1 %K A012953 nonn %A A012953 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012954 %S A012954 2,5,193,16543,2878153,818673803,348172234837,206572325773903, %T A012954 163130348972145393,165417368904178869075,209489646598962151351501, %U A012954 324053551878860145326926775,601237252095423311815599678441 %V A012954 2,-5,193,-16543,2878153,-818673803,348172234837,-206572325773903, %W A012954 163130348972145393,-165417368904178869075,209489646598962151351501, %X A012954 -324053551878860145326926775,601237252095423311815599678441 %N A012954 arcsinh(tan(x)+arcsin(x))=2*x-5/3!*x^3+193/5!*x^5-16543/7!*x^7... %R A012954 %O A012954 0,1 %K A012954 sign,done %A A012954 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012955 %S A012955 2,13,297,14159,1160001,145101559,25744031185,6148333270639, %T A012955 1901959189083393,739758301216077031,353356041582793698193, %U A012955 203342136439150617071903,138755544150262881446540993 %V A012955 2,-13,297,-14159,1160001,-145101559,25744031185,-6148333270639, %W A012955 1901959189083393,-739758301216077031,353356041582793698193, %X A012955 -203342136439150617071903,138755544150262881446540993 %N A012955 tanh(tan(x)+arcsin(x))=2*x-13/3!*x^3+297/5!*x^5-14159/7!*x^7... %R A012955 %O A012955 0,1 %K A012955 sign,done %A A012955 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012956 %S A012956 2,19,1033,139697,35245537,14290318777,8497769039329, %T A012956 6967293521417777,7532911599857139777,10384169309400234051945, %U A012956 17776358796209666513666881,36997487367543781033857758881 %N A012956 arctanh(tan(x)+arcsin(x))=2*x+19/3!*x^3+1033/5!*x^5+139697/7!*x^7... %R A012956 %O A012956 0,1 %K A012956 nonn %A A012956 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012957 %S A012957 1,4,40,934,39064,2572314,247234332,33003190406,5905698391952, %T A012957 1378247307547506,409930747848171812,152227803027302287806, %U A012957 69261955789532321824024,37950380064596445532181866 %N A012957 cosh(tan(x)+arcsin(x))=1+4/2!*x^2+40/4!*x^4+934/6!*x^6+39064/8!*x^8... %R A012957 %O A012957 0,2 %K A012957 nonn %A A012957 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012958 %S A012958 1,4,104,6694,801048,153856794,43323364476,16817632212294, %T A012958 8608497639495696,5618149971940668018,4553225539309052888516, %U A012958 4486447408838286577963006,5281810573883783813034431960 %N A012958 sec(tan(x)+arcsin(x))=1+4/2!*x^2+104/4!*x^4+6694/6!*x^6+801048/8!*x^8... %R A012958 %O A012958 0,2 %K A012958 nonn %A A012958 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012959 %S A012959 1,4,56,1894,120872,12371994,1856495604,384431704934,104893865610544, %T A012959 36513587479094898,15776775677608315084,8290816621524021595806, %U A012959 5204162380787016330112520,3847471212734577460619220586 %V A012959 1,-4,56,-1894,120872,-12371994,1856495604,-384431704934, %W A012959 104893865610544,-36513587479094898,15776775677608315084, %X A012959 -8290816621524021595806,5204162380787016330112520 %N A012959 sech(tan(x)+arcsin(x))=1-4/2!*x^2+56/4!*x^4-1894/6!*x^6+120872/8!*x^8... %R A012959 %O A012959 0,2 %K A012959 sign,done %A A012959 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012960 %S A012960 1,2,3,2,11,30,175,1010,6135,60670,374875,5719650,35199875,779710750, %T A012960 4687746375,145208599250,836951243375,35435177514750,191995883837875, %U A012960 10975003189933250,54688433347786875,4206902757708478750 %V A012960 1,2,3,2,-11,-30,175,1010,-6135,-60670,374875,5719650,-35199875, %W A012960 -779710750,4687746375,145208599250,-836951243375,-35435177514750, %X A012960 191995883837875,10975003189933250,-54688433347786875 %N A012960 exp(arctan(x)+log(x+1))=1+2*x+3/2!*x^2+2/3!*x^3-11/4!*x^4-30/5!*x^5... %R A012960 %O A012960 0,2 %K A012960 sign,done %A A012960 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012961 %S A012961 2,1,8,18,50,15,4580,19180,126890,76725,26697200,158352150, %T A012961 2084909450,4854010525,695709345500,5181906327000,115119442831250, %U A012961 487098850343625,54146131234247000,475896724869036250 %V A012961 2,-1,-8,18,50,15,-4580,19180,126890,-76725,-26697200,158352150, %W A012961 2084909450,-4854010525,-695709345500,5181906327000,115119442831250, %X A012961 -487098850343625,-54146131234247000,475896724869036250 %N A012961 sin(arctan(x)+log(x+1))=2*x-1/2!*x^2-8/3!*x^3+18/4!*x^4+50/5!*x^5... %R A012961 %O A012961 0,1 %K A012961 sign,done %A A012961 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012962 %S A012962 2,1,8,30,366,2655,41652,514668,9980586,173007765,4004890848, %T A012962 89829444474,2436388004358,66690826525323,2084372053480332, %U A012962 67131989795427480,2384198449214048082,88073922412026784233 %V A012962 2,-1,8,-30,366,-2655,41652,-514668,9980586,-173007765,4004890848, %W A012962 -89829444474,2436388004358,-66690826525323,2084372053480332, %X A012962 -67131989795427480,2384198449214048082,-88073922412026784233 %N A012962 arcsin(arctan(x)+log(x+1))=2*x-1/2!*x^2+8/3!*x^3-30/4!*x^4+366/5!*x^5... %R A012962 %O A012962 0,1 %K A012962 sign,done %A A012962 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012963 %S A012963 2,1,16,42,756,5130,82584,1145256,15632064,405336960,4218834816, %T A012963 206734828608,1303793191008,142600433831856,162973525708224, %U A012963 126855035118725760,683674107835961088,140132686528274444928 %V A012963 2,-1,-16,42,756,-5130,-82584,1145256,15632064,-405336960, %W A012963 -4218834816,206734828608,1303793191008,-142600433831856, %X A012963 -162973525708224,126855035118725760,-683674107835961088 %N A012963 arctan(atan(x)+log(x+1))=2*x-1/2!*x^2-16/3!*x^3+42/4!*x^4+756/5!*x^5... %R A012963 %O A012963 0,1 %K A012963 sign,done %A A012963 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012964 %S A012964 1,0,4,6,13,20,550,1470,23965,91800,1736800,5533550,261341425, %T A012964 1560159900,32046389050,113528073750,10312454985625,82637650862000, %U A012964 1992440583581500,7977656452281750,1088470800279923125 %V A012964 1,0,-4,6,13,-20,-550,1470,23965,-91800,-1736800,5533550,261341425, %W A012964 -1560159900,-32046389050,113528073750,10312454985625, %X A012964 -82637650862000,-1992440583581500,7977656452281750 %N A012964 cos(arctan(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3+13/4!*x^4-20/5!*x^5... %R A012964 %O A012964 0,3 %K A012964 sign,done %A A012964 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012965 %S A012965 2,1,8,30,110,735,6260,46060,353690,3869325,47962400,535492650, %T A012965 6256290950,94256473675,1540899327500,23184083247000,363941070067250, %U A012965 6966275933345625,141502264507955000,2683664072600533750 %V A012965 2,-1,8,-30,110,-735,6260,-46060,353690,-3869325,47962400,-535492650, %W A012965 6256290950,-94256473675,1540899327500,-23184083247000, %X A012965 363941070067250,-6966275933345625,141502264507955000 %N A012965 sinh(arctan(x)+log(x+1))=2*x-1/2!*x^2+8/3!*x^3-30/4!*x^4+110/5!*x^5... %R A012965 %O A012965 0,1 %K A012965 sign,done %A A012965 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012966 %S A012966 2,1,8,18,306,1905,26532,353388,4334778,110509245,1021609008, %T A012966 50779213254,272982059658,32111535861405,11592260316252, %U A012966 26485822571365080,161024492765786958,27356021208171990873 %V A012966 2,-1,-8,18,306,-1905,-26532,353388,4334778,-110509245,-1021609008, %W A012966 50779213254,272982059658,-32111535861405,-11592260316252, %X A012966 26485822571365080,-161024492765786958,-27356021208171990873 %N A012966 arcsinh(arctan(x)+log(x+1))=2*x-1/2!*x^2-8/3!*x^3+18/4!*x^4+306/5!*x^5... %R A012966 %O A012966 0,1 %K A012966 sign,done %A A012966 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012967 %S A012967 2,1,16,42,500,3210,31960,409640,3197360,78190200,405352000, %T A012967 20714298000,39783504800,7213870190800,15836666456000, %U A012967 3165414330000000,23690623723936000,1688397526908144000 %V A012967 2,-1,-16,42,500,-3210,-31960,409640,3197360,-78190200,-405352000, %W A012967 20714298000,39783504800,-7213870190800,15836666456000, %X A012967 3165414330000000,-23690623723936000,-1688397526908144000 %N A012967 tanh(arctan(x)+log(x+1))=2*x-1/2!*x^2-16/3!*x^3+42/4!*x^4+500/5!*x^5... %R A012967 %O A012967 0,1 %K A012967 sign,done %A A012967 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012968 %S A012968 2,1,16,54,876,6630,122904,1558536,33455520,601095600,14941817856, %T A012968 346714064928,9916498091808,280431880000272,9142107223322304, %U A012968 303483440198252160,11161636493381966592,423977565043956325248 %V A012968 2,-1,16,-54,876,-6630,122904,-1558536,33455520,-601095600, %W A012968 14941817856,-346714064928,9916498091808,-280431880000272, %X A012968 9142107223322304,-303483440198252160,11161636493381966592 %N A012968 arctanh(atan(x)+log(x+1))=2*x-1/2!*x^2+16/3!*x^3-54/4!*x^4+876/5!*x^5... %R A012968 %O A012968 0,1 %K A012968 sign,done %A A012968 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012969 %S A012969 1,0,4,6,19,140,910,5250,39925,414360,4244200,42242750,500292775, %T A012969 7036001700,98944220050,1395690728250,22347132003625,399376247582000, %U A012969 7158271817183500,130527261318021750,2628975639252746875 %V A012969 1,0,4,-6,19,-140,910,-5250,39925,-414360,4244200,-42242750, %W A012969 500292775,-7036001700,98944220050,-1395690728250,22347132003625, %X A012969 -399376247582000,7158271817183500,-130527261318021750 %N A012969 cosh(arctan(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+19/4!*x^4-140/5!*x^5... %R A012969 %O A012969 0,3 %K A012969 sign,done %A A012969 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012970 %S A012970 1,0,4,6,83,460,5470,53130,722585,9842040,159135400,2720898950, %T A012970 51918624875,1059369023700,23452521576250,553824975590250, %U A012970 13985888446648625,374715350908366000,10638956635471235500 %V A012970 1,0,4,-6,83,-460,5470,-53130,722585,-9842040,159135400,-2720898950, %W A012970 51918624875,-1059369023700,23452521576250,-553824975590250, %X A012970 13985888446648625,-374715350908366000,10638956635471235500 %N A012970 sec(arctan(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+83/4!*x^4-460/5!*x^5... %R A012970 %O A012970 0,3 %K A012970 sign,done %A A012970 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012971 %S A012971 1,0,4,6,77,340,3670,34230,303425,5406840,35315200,1225800950, %T A012971 4445446925,374586782700,9072379550,147143429091750,687446930233375, %U A012971 71491380123358000,767045215539726500,41515913745464739750 %V A012971 1,0,-4,6,77,-340,-3670,34230,303425,-5406840,-35315200,1225800950, %W A012971 4445446925,-374586782700,9072379550,147143429091750, %X A012971 -687446930233375,-71491380123358000,767045215539726500 %N A012971 sech(arctan(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3+77/4!*x^4-340/5!*x^5... %R A012971 %O A012971 0,3 %K A012971 sign,done %A A012971 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012972 %S A012972 2,3,9,42,293,2454,23807,273304,3629945,53958154,887374939, %T A012972 16082430268,318456745189,6826882284078,157521655230391, %U A012972 3895161014873424,102760306169663089,2880160526862435858 %V A012972 2,-3,9,-42,293,-2454,23807,-273304,3629945,-53958154,887374939, %W A012972 -16082430268,318456745189,-6826882284078,157521655230391, %X A012972 -3895161014873424,102760306169663089,-2880160526862435858 %N A012972 log(arctan(x)+exp(x))=2*x-3/2!*x^2+9/3!*x^3-42/4!*x^4+293/5!*x^5... %R A012972 %O A012972 0,1 %K A012972 sign,done %A A012972 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012973 %S A012973 1,2,4,5,8,63,26,1087,424,51399,4314,4655147,1175508,614607875, %T A012973 586563610,110785434767,202456213808,26276828035887,74723085885198, %U A012973 7942606908264467,31720351727685548,2980404613442707547 %V A012973 1,2,4,5,-8,-63,-26,1087,424,-51399,4314,4655147,1175508,-614607875, %W A012973 -586563610,110785434767,202456213808,-26276828035887, %X A012973 -74723085885198,7942606908264467,31720351727685548 %N A012973 exp(arctan(x)+sin(x))=1+2*x+4/2!*x^2+5/3!*x^3-8/4!*x^4-63/5!*x^5... %R A012973 %O A012973 0,2 %K A012973 sign,done %A A012973 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012974 %S A012974 2,11,177,5889,354825,34194349,4812801541,929134537249, %T A012974 235303563551473,75620298761841685,30055739610273190333, %U A012974 14472301025418311845801,8300739781085990833250473 %V A012974 2,-11,177,-5889,354825,-34194349,4812801541,-929134537249, %W A012974 235303563551473,-75620298761841685,30055739610273190333, %X A012974 -14472301025418311845801,8300739781085990833250473 %N A012974 sin(arctan(x)+sin(x))=2*x-11/3!*x^3+177/5!*x^5-5889/7!*x^7... %R A012974 %O A012974 0,1 %K A012974 sign,done %A A012974 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012975 %S A012975 2,5,193,16319,2867257,812120619,345585820669,204800140817999, %T A012975 161621142321132497,163745409197491716115,207199912831985170715941, %U A012975 320237187283296947168085591,593645895442500883916704175801 %N A012975 arcsin(arctan(x)+sin(x))=2*x+5/3!*x^3+193/5!*x^5+16319/7!*x^7... %R A012975 %O A012975 0,1 %K A012975 nonn %A A012975 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012976 %S A012976 2,19,1033,139921,35331409,14334032601,8528641989385, %T A012976 6996533376858481,7568756053179558689,10439411395932267346985, %U A012976 17880910414730276822733721,37235878792206753318991025025 %V A012976 2,-19,1033,-139921,35331409,-14334032601,8528641989385, %W A012976 -6996533376858481,7568756053179558689,-10439411395932267346985, %X A012976 17880910414730276822733721,-37235878792206753318991025025 %N A012976 arctan(atan(x)+sin(x))=2*x-19/3!*x^3+1033/5!*x^5-139921/7!*x^7... %R A012976 %O A012976 0,1 %K A012976 sign,done %A A012976 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012977 %S A012977 1,4,40,934,42648,3295194,387494364,64310993478,14291172086544, %T A012977 4092687247885554,1467156197049970084,643428519154728257086, %U A012977 338835140564954843727832,210975968109576390124392746 %V A012977 1,-4,40,-934,42648,-3295194,387494364,-64310993478,14291172086544, %W A012977 -4092687247885554,1467156197049970084,-643428519154728257086, %X A012977 338835140564954843727832,-210975968109576390124392746 %N A012977 cos(arctan(x)+sin(x))=1-4/2!*x^2+40/4!*x^4-934/6!*x^6+42648/8!*x^8... %R A012977 %O A012977 0,2 %K A012977 sign,done %A A012977 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012978 %S A012978 2,5,63,1087,51399,4655147,614607875,110785434767,26276828035887, %T A012978 7942606908264467,2980404613442707547,1359327160139797369495, %U A012978 740576016766767185246407,475017662287177042879384091 %V A012978 2,5,-63,1087,-51399,4655147,-614607875,110785434767,-26276828035887, %W A012978 7942606908264467,-2980404613442707547,1359327160139797369495, %X A012978 -740576016766767185246407,475017662287177042879384091 %N A012978 sinh(arctan(x)+sin(x))=2*x+5/3!*x^3-63/5!*x^5+1087/7!*x^7... %R A012978 %O A012978 0,1 %K A012978 sign,done %A A012978 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012979 %S A012979 2,11,433,48001,10498825,3811807661,2071932466693,1574801726490721, %T A012979 1594618241011192305,2074802841008119102485, %U A012979 3373030497583959151077181,6699988532738300297415156713 %V A012979 2,-11,433,-48001,10498825,-3811807661,2071932466693, %W A012979 -1574801726490721,1594618241011192305,-2074802841008119102485, %X A012979 3373030497583959151077181,-6699988532738300297415156713 %N A012979 arcsinh(arctan(x)+sin(x))=2*x-11/3!*x^3+433/5!*x^5-48001/7!*x^7... %R A012979 %O A012979 0,1 %K A012979 sign,done %A A012979 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012980 %S A012980 2,19,777,69137,10638417,2507750617,839139592969,378121773804337, %T A012980 220718283821767713,162004120310722473001,146031595896623765319193, %U A012980 158588958155287462968094529,204221537438129307495799630193 %V A012980 2,-19,777,-69137,10638417,-2507750617,839139592969,-378121773804337, %W A012980 220718283821767713,-162004120310722473001,146031595896623765319193, %X A012980 -158588958155287462968094529,204221537438129307495799630193 %N A012980 tanh(arctan(x)+sin(x))=2*x-19/3!*x^3+777/5!*x^5-69137/7!*x^7... %R A012980 %O A012980 0,1 %K A012980 sign,done %A A012980 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012981 %S A012981 2,13,553,57839,11359153,3579398359,1655031037177,1054978773554159, %T A012981 886822655405158113,950463966040325692455,1265021553451798971633001, %U A012981 2047001827823001219625900543,3957634961967849174268972586001 %N A012981 arctanh(atan(x)+sin(x))=2*x+13/3!*x^3+553/5!*x^5+57839/7!*x^7... %R A012981 %O A012981 0,1 %K A012981 nonn %A A012981 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012982 %S A012982 1,4,8,26,424,4314,1175508,586563610,202456213808,74723085885198, %T A012982 31720351727685548,15704109567909173154,9057266333254873075336, %U A012982 6050602176713431738303574,4648623295941041403621558724 %V A012982 1,4,-8,-26,424,4314,1175508,-586563610,202456213808,-74723085885198, %W A012982 31720351727685548,-15704109567909173154,9057266333254873075336, %X A012982 -6050602176713431738303574,4648623295941041403621558724 %N A012982 cosh(arctan(x)+sin(x))=1+4/2!*x^2-8/4!*x^4-26/6!*x^6+424/8!*x^8... %R A012982 %O A012982 0,2 %K A012982 sign,done %A A012982 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012983 %S A012983 1,4,56,1894,117288,11804634,1728907572,351044605734,93615747164592, %T A012983 31926736599252978,13490290255530367052,6942626443208363650846, %U A012983 4262966686937642406398792,3085748295626999896052048426 %N A012983 sec(arctan(x)+sin(x))=1+4/2!*x^2+56/4!*x^4+1894/6!*x^6+117288/8!*x^8... %R A012983 %O A012983 0,2 %K A012983 nonn %A A012983 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012984 %S A012984 1,4,104,6694,804632,155439834,44039778108,17203328738054, %T A012984 8861587113743248,5819908969853023218,4746578915592187681348, %U A012984 4706547390563027522258046,5575973518183361179212558488 %V A012984 1,-4,104,-6694,804632,-155439834,44039778108,-17203328738054, %W A012984 8861587113743248,-5819908969853023218,4746578915592187681348, %X A012984 -4706547390563027522258046,5575973518183361179212558488 %N A012984 sech(arctan(x)+sin(x))=1-4/2!*x^2+104/4!*x^4-6694/6!*x^6... %R A012984 %O A012984 0,2 %K A012984 sign,done %A A012984 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012985 %S A012985 1,2,4,7,8,25,310,1985,4600,14905,695450,9006925,32209900,20012525, %T A012985 9441571750,202749678625,1024927826000,3158018147375,439344864507250, %U A012985 14186901874647125,96071120715212500,671237145329976875 %V A012985 1,2,4,7,8,25,310,1985,4600,14905,695450,9006925,32209900,20012525, %W A012985 9441571750,202749678625,1024927826000,-3158018147375, %X A012985 439344864507250,14186901874647125,96071120715212500 %N A012985 exp(arctan(x)+arcsin(x))=1+2*x+4/2!*x^2+7/3!*x^3+8/4!*x^4+25/5!*x^5... %R A012985 %O A012985 0,2 %K A012985 sign,done %A A012985 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012986 %S A012986 2,9,105,4095,235305,24792075,3350672325,682570263375, %T A012986 167108397080625,55823919598321875,21575234944726588125, %U A012986 10710021193954531824375,5999211692915481431015625 %V A012986 2,-9,105,-4095,235305,-24792075,3350672325,-682570263375, %W A012986 167108397080625,-55823919598321875,21575234944726588125, %X A012986 -10710021193954531824375,5999211692915481431015625 %N A012986 sin(arctan(x)+arcsin(x))=2*x-9/3!*x^3+105/5!*x^5-4095/7!*x^7... %R A012986 %O A012986 0,1 %K A012986 sign,done %A A012986 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012987 %S A012987 2,7,281,26177,5040953,1583032653,746492313069,491286421003617, %T A012987 430704974221071057,485015732780851752021,682312690169782121262933, %U A012987 1172627483603034267343876041,2417509824116710251212901804537 %N A012987 arcsin(arctan(x)+arcsin(x))=2*x+7/3!*x^3+281/5!*x^5+26177/7!*x^7... %R A012987 %O A012987 0,1 %K A012987 nonn %A A012987 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012988 %S A012988 2,17,881,111919,26533505,10100912631,5639610453681,4341268802719599, %T A012988 4406801928941004417,5703476313460410444519, %U A012988 9166802819086051420527153,17912428427903720892882856479 %V A012988 2,-17,881,-111919,26533505,-10100912631,5639610453681, %W A012988 -4341268802719599,4406801928941004417,-5703476313460410444519, %X A012988 9166802819086051420527153,-17912428427903720892882856479 %N A012988 arctan(atan(x)+arcsin(x))=2*x-17/3!*x^3+881/5!*x^5-111919/7!*x^7... %R A012988 %O A012988 0,1 %K A012988 sign,done %A A012988 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012989 %S A012989 1,4,24,630,27720,2353050,267567300,46909412550,10103827734000, %T A012989 3007951147451250,1049953727680357500,474655168783984938750, %U A012989 244316469166238814345000,155979504015802517206406250 %V A012989 1,-4,24,-630,27720,-2353050,267567300,-46909412550,10103827734000, %W A012989 -3007951147451250,1049953727680357500,-474655168783984938750, %X A012989 244316469166238814345000,-155979504015802517206406250 %N A012989 cos(arctan(x)+arcsin(x))=1-4/2!*x^2+24/4!*x^4-630/6!*x^6+27720/8!*x^8... %R A012989 %O A012989 0,2 %K A012989 sign,done %A A012989 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012990 %S A012990 2,7,25,1985,14905,9006925,20012525,202749678625,3158018147375, %T A012990 14186901874647125,671237145329976875,2393939114315833215625, %U A012990 224442506249023480234375,829987864326478226455328125 %V A012990 2,7,25,1985,14905,9006925,20012525,202749678625,-3158018147375, %W A012990 14186901874647125,-671237145329976875,2393939114315833215625, %X A012990 -224442506249023480234375,829987864326478226455328125 %N A012990 sinh(arctan(x)+arcsin(x))=2*x+7/3!*x^3+25/5!*x^5+1985/7!*x^7... %R A012990 %O A012990 0,1 %K A012990 sign,done %A A012990 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012991 %S A012991 2,9,361,37247,7669801,2611958283,1332778136517,950743937966607, %T A012991 903562629244729137,1103376848629556507859,1683455518560856213155933, %U A012991 3138189120711848323676011959,7018144868048442992554858302537 %V A012991 2,-9,361,-37247,7669801,-2611958283,1332778136517,-950743937966607, %W A012991 903562629244729137,-1103376848629556507859, %X A012991 1683455518560856213155933,-3138189120711848323676011959 %N A012991 arcsinh(arctan(x)+arcsin(x))=2*x-9/3!*x^3+361/5!*x^5-37247/7!*x^7... %R A012991 %O A012991 0,1 %K A012991 sign,done %A A012991 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012992 %S A012992 2,17,625,50095,6958465,1481513975,447942184625,182407755827375, %T A012992 96230887606218625,63838323636651718375,52010513762604762600625, %U A012992 51051665095162460001089375,59420118823159622809910890625 %V A012992 2,-17,625,-50095,6958465,-1481513975,447942184625,-182407755827375, %W A012992 96230887606218625,-63838323636651718375,52010513762604762600625, %X A012992 -51051665095162460001089375,59420118823159622809910890625 %N A012992 tanh(arctan(x)+arcsin(x))=2*x-17/3!*x^3+625/5!*x^5-50095/7!*x^7... %R A012992 %O A012992 0,1 %K A012992 sign,done %A A012992 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012993 %S A012993 2,15,721,84049,18372769,6443708601,3315504514305,2351891535306609, %T A012993 2200048869778398657,2623946039095984617321, %U A012993 3886333930223496753553953,6998154777889427559892675041 %N A012993 arctanh(atan(x)+arcsin(x))=2*x+15/3!*x^3+721/5!*x^5+84049/7!*x^7... %R A012993 %O A012993 0,1 %K A012993 nonn %A A012993 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012994 %S A012994 1,4,8,310,4600,695450,32209900,9441571750,1024927826000, %T A012994 439344864507250,96071120715212500,52160549887581638750, %U A012994 20873814687864446035000,13171711293701017616406250 %N A012994 cosh(arctan(x)+arcsin(x))=1+4/2!*x^2+8/4!*x^4+310/6!*x^6+4600/8!*x^8... %R A012994 %O A012994 0,2 %K A012994 nonn %A A012994 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012995 %S A012995 1,4,72,3510,315000,45898650,9783981900,2881566037350, %T A012995 1118460016674000,553787154746075250,340453667922140272500, %U A012995 254502044013845436558750,227301229608843762807435000 %N A012995 sec(arctan(x)+arcsin(x))=1+4/2!*x^2+72/4!*x^4+3510/6!*x^6+315000/8!*x^8... %R A012995 %O A012995 0,2 %K A012995 nonn %A A012995 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012996 %S A012996 1,4,88,5110,553160,96580250,24721393700,8728515353350, %T A012996 4063560953062000,2412185091080859250,1778146182982493577500, %U A012996 1593628484999043797378750,1706481881516410825432385000 %V A012996 1,-4,88,-5110,553160,-96580250,24721393700,-8728515353350, %W A012996 4063560953062000,-2412185091080859250,1778146182982493577500, %X A012996 -1593628484999043797378750,1706481881516410825432385000 %N A012996 sech(arctan(x)+arcsin(x))=1-4/2!*x^2+88/4!*x^4-5110/6!*x^6... %R A012996 %O A012996 0,2 %K A012996 sign,done %A A012996 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012997 %S A012997 1,2,4,8,16,72,544,3040,11008,64896,1060224,10595840,38065152, %T A012997 87854080,9708670976,170663275520,276991311872,13108265091072, %U A012997 283899182678016,9548887177330688,9456062364418048 %V A012997 1,2,4,8,16,72,544,3040,11008,64896,1060224,10595840,38065152, %W A012997 87854080,9708670976,170663275520,276991311872,-13108265091072, %X A012997 283899182678016,9548887177330688,-9456062364418048 %N A012997 exp(arctan(x)+tan(x))=1+2*x+4/2!*x^2+8/3!*x^3+16/4!*x^4+72/5!*x^5... %R A012997 %O A012997 0,2 %K A012997 sign,done %A A012997 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012998 %S A012998 2,8,72,3936,193920,21876736,2967878656,589063146496,149737853943808, %T A012998 48291040167362560,19310260456438693888,9310185546185219768320, %U A012998 5359263862743046978797568,3615034863530737222643875840 %V A012998 2,-8,72,-3936,193920,-21876736,2967878656,-589063146496, %W A012998 149737853943808,-48291040167362560,19310260456438693888, %X A012998 -9310185546185219768320,5359263862743046978797568 %N A012998 sin(arctan(x)+tan(x))=2*x-8/3!*x^3+72/5!*x^5-3936/7!*x^7... %R A012998 %O A012998 0,1 %K A012998 sign,done %A A012998 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A012999 %S A012999 2,8,328,31712,6354304,2085514752,1027652193280,707087567055872, %T A012999 648127370395910144,763186372089893650432,1122739235799995992047616, %U A012999 2017897729638659884887834624,4350781970507936954099174998016 %N A012999 arcsin(arctan(x)+tan(x))=2*x+8/3!*x^3+328/5!*x^5+31712/7!*x^7... %R A012999 %O A012999 0,1 %K A012999 nonn %A A012999 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013000 %S A013000 2,16,808,99328,22756480,8373489408,4518380796928,3361577372366848, %T A013000 3297920024665948160,4125214890387616169984, %U A013000 6407889739355365222383616,12101572905129973895312965632 %V A013000 2,-16,808,-99328,22756480,-8373489408,4518380796928, %W A013000 -3361577372366848,3297920024665948160,-4125214890387616169984, %X A013000 6407889739355365222383616,-12101572905129973895312965632 %N A013000 arctan(atan(x)+tan(x))=2*x-16/3!*x^3+808/5!*x^5-99328/7!*x^7... %R A013000 %O A013000 0,1 %K A013000 sign,done %A A013000 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) (this has a small error: atan should be arctan. I corrected this in the OEIS Dec 17 2011) %I A013001 %S A013001 1,4,16,544,25344,1920384,246359040,39508168704,9120978370560, %T A013001 2587275558617088,939278027083448320,411971792033339539456, %U A013001 217927272725489369743360,135949730585003375068184576 %V A013001 1,-4,16,-544,25344,-1920384,246359040,-39508168704,9120978370560, %W A013001 -2587275558617088,939278027083448320,-411971792033339539456, %X A013001 217927272725489369743360,-135949730585003375068184576 %N A013001 cos(arctan(x)+tan(x))=1-4/2!*x^2+16/4!*x^4-544/6!*x^6+25344/8!*x^8... %R A013001 %O A013001 0,2 %K A013001 sign,done %A A013001 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013002 %S A013002 2,8,72,3040,64896,10595840,87854080,170663275520,13108265091072, %T A013002 9548887177330688,2414396189767565312,1470934245912869601280, %U A013002 706590338221690516406272,502826356422039379298484224 %V A013002 2,8,72,3040,64896,10595840,87854080,170663275520,-13108265091072, %W A013002 9548887177330688,-2414396189767565312,1470934245912869601280, %X A013002 -706590338221690516406272,502826356422039379298484224 %N A013002 sinh(arctan(x)+tan(x))=2*x+8/3!*x^3+72/5!*x^5+3040/7!*x^7... %R A013002 %O A013002 0,1 %K A013002 sign,done %A A013002 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013003 %S A013003 2,8,328,32608,6483328,2134642688,1052574333952,725748770065408, %T A013003 666646160260988928,786828198376481390592,1160307802288187922251776, %U A013003 2090565114493628148202864640,4518738416600027689514857660416 %V A013003 2,-8,328,-32608,6483328,-2134642688,1052574333952,-725748770065408, %W A013003 666646160260988928,-786828198376481390592, %X A013003 1160307802288187922251776,-2090565114493628148202864640 %N A013003 arcsinh(arctan(x)+tan(x))=2*x-8/3!*x^3+328/5!*x^5-32608/7!*x^7... %R A013003 %O A013003 0,1 %K A013003 sign,done %A A013003 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013004 %S A013004 2,16,552,41984,5530752,1117490944,320707001344,123976597878784, %T A013004 62093009928880128,39107324387947577344,30249801409640561901568, %U A013004 28190352567614102755082240,31151946815227412004856659968 %V A013004 2,-16,552,-41984,5530752,-1117490944,320707001344,-123976597878784, %W A013004 62093009928880128,-39107324387947577344,30249801409640561901568, %X A013004 -28190352567614102755082240,31151946815227412004856659968 %N A013004 tanh(arctan(x)+tan(x))=2*x-16/3!*x^3+552/5!*x^5-41984/7!*x^7... %R A013004 %O A013004 0,1 %K A013004 sign,done %A A013004 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013005 %S A013005 2,16,808,98432,22498432,8253398272,4441967893504,3295980115392512, %T A013005 3225082749950656512,4023514822062532460544, %U A013005 6233513843421340514123776,11741363464465799639674126336 %N A013005 arctanh(atan(x)+tan(x))=2*x+16/3!*x^3+808/5!*x^5+98432/7!*x^7... %R A013005 %O A013005 0,1 %K A013005 nonn %A A013005 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013006 %S A013006 1,4,16,544,11008,1060224,38065152,9708670976,276991311872, %T A013006 283899182678016,9456062364418048,21467065808907534336, %U A013006 3522630891818080796672,3483761539375407422242816 %V A013006 1,4,16,544,11008,1060224,38065152,9708670976,276991311872, %W A013006 283899182678016,-9456062364418048,21467065808907534336, %X A013006 -3522630891818080796672,3483761539375407422242816 %N A013006 cosh(arctan(x)+tan(x))=1+4/2!*x^2+16/4!*x^4+544/6!*x^6+11008/8!*x^8... %R A013006 %O A013006 0,2 %K A013006 sign,done %A A013006 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013007 %S A013007 1,4,80,4384,436992,70425984,16592126976,5395435991040, %T A013007 2312302178205696,1263775007737085952,857643638399523454976, %U A013007 707659940568946007474176,697634806106676807565574144 %N A013007 sec(arctan(x)+tan(x))=1+4/2!*x^2+80/4!*x^4+4384/6!*x^6+436992/8!*x^8... %R A013007 %O A013007 0,2 %K A013007 nonn %A A013007 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013008 %S A013008 1,4,80,4384,451328,74726784,18162914304,6087614197760, %T A013008 2690808196562944,1516485688823611392,1061352718471077658624, %U A013008 903110171035290053246976,918161695966849718656434176 %V A013008 1,-4,80,-4384,451328,-74726784,18162914304,-6087614197760, %W A013008 2690808196562944,-1516485688823611392,1061352718471077658624, %X A013008 -903110171035290053246976,918161695966849718656434176 %N A013008 sech(arctan(x)+tan(x))=1-4/2!*x^2+80/4!*x^4-4384/6!*x^6+451328/8!*x^8... %R A013008 %O A013008 0,2 %K A013008 sign,done %A A013008 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013009 %S A013009 1,3,10,55,393,3485,36923,455306,6408445,101402557,1782112451, %T A013009 34444583072,726178939315,16584396680007,407872396640525, %U A013009 10747394439586016,302068718096449161,9020579413121532169 %V A013009 1,-3,10,-55,393,-3485,36923,-455306,6408445,-101402557,1782112451, %W A013009 -34444583072,726178939315,-16584396680007,407872396640525, %X A013009 -10747394439586016,302068718096449161,-9020579413121532169 %N A013009 log(cos(x)+log(x+1))=x-3/2!*x^2+10/3!*x^3-55/4!*x^4+393/5!*x^5... %R A013009 %O A013009 0,2 %K A013009 sign,done %A A013009 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013010 %S A013010 1,2,6,24,148,1040,9184,91840,1066640,13775872,199000736,3146553344, %T A013010 54431471040,1017854502912,20523724218880,442966494683136, %U A013010 10203766053312768,249626351047671808,6467780044492713472 %V A013010 1,-2,6,-24,148,-1040,9184,-91840,1066640,-13775872,199000736, %W A013010 -3146553344,54431471040,-1017854502912,20523724218880, %X A013010 -442966494683136,10203766053312768,-249626351047671808 %N A013010 log(cos(x)+arcsin(x))=x-2/2!*x^2+6/3!*x^3-24/4!*x^4+148/5!*x^5... %R A013010 %O A013010 0,2 %K A013010 sign,done %A A013010 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013011 %S A013011 1,2,7,28,185,1352,12367,129568,1558865,21053312,316097527, %T A013011 5218724608,94003171145,1834214761472,38543705698687,867787269787648, %U A013011 20840298552277025,531768169691512832,14366953364916735847 %V A013011 1,-2,7,-28,185,-1352,12367,-129568,1558865,-21053312,316097527, %W A013011 -5218724608,94003171145,-1834214761472,38543705698687, %X A013011 -867787269787648,20840298552277025,-531768169691512832 %N A013011 log(cos(x)+tan(x))=x-2/2!*x^2+7/3!*x^3-28/4!*x^4+185/5!*x^5... %R A013011 %O A013011 0,2 %K A013011 sign,done %A A013011 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013012 %S A013012 1,2,3,12,73,440,2779,23968,260177,2866432,32853491,441968384, %T A013012 6787498521,108247087104,1803655970635,33080353591296, %U A013012 660549566885793,13769854019436544,299826162055728355 %V A013012 1,-2,3,-12,73,-440,2779,-23968,260177,-2866432,32853491,-441968384, %W A013012 6787498521,-108247087104,1803655970635,-33080353591296, %X A013012 660549566885793,-13769854019436544,299826162055728355 %N A013012 log(cos(x)+arctan(x))=x-2/2!*x^2+3/3!*x^3-12/4!*x^4+73/5!*x^5... %R A013012 %O A013012 0,2 %K A013012 sign,done %A A013012 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013013 %S A013013 1,2,3,5,13,37,109,387,1481,5985,26889,127459,639885,3443689, %T A013013 19368717,114799939,715261329,4637302689,31449421137,221816518915, %U A013013 1622927749909,12332636914873,96898010418037,787180051115907 %N A013013 exp(sinh(x)+log(x+1))=1+2*x+3/2!*x^2+5/3!*x^3+13/4!*x^4+37/5!*x^5... %R A013013 %O A013013 0,2 %K A013013 nonn %A A013013 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013014 %S A013014 2,1,5,18,93,375,1822,10612,71055,573435,5134802,51076674,550129175, %T A013014 6366454731,78567215552,1026191286600,14090173919607,201683878875351, %U A013014 2979525371014106,44794367995995870,669951379896225467 %V A013014 2,-1,-5,18,-93,375,-1822,10612,-71055,573435,-5134802,51076674, %W A013014 -550129175,6366454731,-78567215552,1026191286600,-14090173919607, %X A013014 201683878875351,-2979525371014106,44794367995995870 %N A013014 sin(sinh(x)+log(x+1))=2*x-1/2!*x^2-5/3!*x^3+18/4!*x^4-93/5!*x^5... %R A013014 %O A013014 0,1 %K A013014 sign,done %A A013014 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013015 %S A013015 2,1,11,30,463,3015,57136,640500,14305285,234551205,6059972426, %T A013015 131755815510,3893200782703,105378631417059,3527510549050216, %U A013015 113921716355789160,4281885187994847705,160171336678757139081 %V A013015 2,-1,11,-30,463,-3015,57136,-640500,14305285,-234551205,6059972426, %W A013015 -131755815510,3893200782703,-105378631417059,3527510549050216, %X A013015 -113921716355789160,4281885187994847705,-160171336678757139081 %N A013015 arcsin(sinh(x)+log(x+1))=2*x-1/2!*x^2+11/3!*x^3-30/4!*x^4+463/5!*x^5... %R A013015 %O A013015 0,1 %K A013015 sign,done %A A013015 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013016 %S A013016 2,1,19,54,837,5430,85727,913304,15882789,235221480,4628229637, %T A013016 86832384408,1942163547859,43698750863040,1105827151216987, %U A013016 28836153358566240,818829801177930873,24192235106596630656 %V A013016 2,-1,19,-54,837,-5430,85727,-913304,15882789,-235221480,4628229637, %W A013016 -86832384408,1942163547859,-43698750863040,1105827151216987, %X A013016 -28836153358566240,818829801177930873,-24192235106596630656 %N A013016 tan(sinh(x)+log(x+1))=2*x-1/2!*x^2+19/3!*x^3-54/4!*x^4+837/5!*x^5... %R A013016 %O A013016 0,1 %K A013016 sign,done %A A013016 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013017 %S A013017 2,1,13,42,493,4410,40829,832440,5004973,245085120,392887339, %T A013017 101932624200,443122544633,55814061375072,703885217039551, %U A013017 37862793965199840,939190392260961927,29796126039875472768 %V A013017 2,-1,-13,42,493,-4410,-40829,832440,5004973,-245085120,-392887339, %W A013017 101932624200,-443122544633,-55814061375072,703885217039551, %X A013017 37862793965199840,-939190392260961927,-29796126039875472768 %N A013017 arctan(sinh(x)+log(x+1))=2*x-1/2!*x^2-13/3!*x^3+42/4!*x^4+493/5!*x^5... %R A013017 %O A013017 0,1 %K A013017 sign,done %A A013017 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013018 %S A013018 1,0,4,6,11,10,116,903,7669,62820,584106,6060285,69017733,857566866, %T A013018 11474282452,164562121605,2516384673833,40876884428072, %U A013018 703053573168198,12765095626090149,244021356047525393 %V A013018 1,0,-4,6,-11,10,116,-903,7669,-62820,584106,-6060285,69017733, %W A013018 -857566866,11474282452,-164562121605,2516384673833,-40876884428072, %X A013018 703053573168198,-12765095626090149,244021356047525393 %N A013018 cos(sinh(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3-11/4!*x^4+10/5!*x^5... %R A013018 %O A013018 0,3 %K A013018 sign,done %A A013018 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013019 %S A013019 2,1,11,30,207,1095,8304,64372,589941,5860125,64691794,775311174, %T A013019 10085421751,141164863203,2117691780304,33881891414760, %U A013019 576001188753673,10367968207899897,196991835391515262 %V A013019 2,-1,11,-30,207,-1095,8304,-64372,589941,-5860125,64691794, %W A013019 -775311174,10085421751,-141164863203,2117691780304,-33881891414760, %X A013019 576001188753673,-10367968207899897,196991835391515262 %N A013019 sinh(sinh(x)+log(x+1))=2*x-1/2!*x^2+11/3!*x^3-30/4!*x^4+207/5!*x^5... %R A013019 %O A013019 0,1 %K A013019 sign,done %A A013019 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013020 %S A013020 2,1,13,42,237,2490,3645,204344,680163,20955960,230307805,2174078808, %T A013020 64281321713,27511603392,18418436193415,156659497218720, %U A013020 5253312957895607,117706310429535360,1164123664036107745 %V A013020 2,-1,-13,42,237,-2490,-3645,204344,-680163,-20955960,230307805, %W A013020 2174078808,-64281321713,-27511603392,18418436193415, %X A013020 -156659497218720,-5253312957895607,117706310429535360 %N A013020 tanh(sinh(x)+log(x+1))=2*x-1/2!*x^2-13/3!*x^3+42/4!*x^4+237/5!*x^5... %R A013020 %O A013020 0,1 %K A013020 sign,done %A A013020 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013021 %S A013021 2,1,19,54,1093,7350,163231,1890840,46856629,793522800,22080566781, %T A013021 495344954280,15484604767435,431828053264608,15117468706455571, %U A013021 502151660656769760,19584866374955872169,752135075199053592192 %V A013021 2,-1,19,-54,1093,-7350,163231,-1890840,46856629,-793522800, %W A013021 22080566781,-495344954280,15484604767435,-431828053264608, %X A013021 15117468706455571,-502151660656769760,19584866374955872169 %N A013021 arctanh(sinh(x)+log(x+1))=2*x-1/2!*x^2+19/3!*x^3-54/4!*x^4... %R A013021 %O A013021 0,1 %K A013021 sign,done %A A013021 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013022 %S A013022 1,0,4,6,43,170,1204,7917,65853,583956,5887014,64564335,775951059, %T A013022 10081978062,141184231920,2117576980365,33882606676089, %U A013022 575996551450984,10367999657321034,196991613574996347 %V A013022 1,0,4,-6,43,-170,1204,-7917,65853,-583956,5887014,-64564335, %W A013022 775951059,-10081978062,141184231920,-2117576980365,33882606676089, %X A013022 -575996551450984,10367999657321034,-196991613574996347 %N A013022 cosh(sinh(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+43/4!*x^4-170/5!*x^5... %R A013022 %O A013022 0,3 %K A013022 sign,done %A A013022 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013023 %S A013023 1,0,4,6,107,490,7684,65877,1090337,13921668,257455734,4331216175, %T A013023 90917175543,1878247055958,44731827065384,1087289104715205, %U A013023 29180344841087233,811860199866466216,24338347638085258458 %V A013023 1,0,4,-6,107,-490,7684,-65877,1090337,-13921668,257455734, %W A013023 -4331216175,90917175543,-1878247055958,44731827065384, %X A013023 -1087289104715205,29180344841087233,-811860199866466216 %N A013023 sec(sinh(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+107/4!*x^4-490/5!*x^5... %R A013023 %O A013023 0,3 %K A013023 sign,done %A A013023 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013024 %S A013024 1,0,4,6,53,310,1084,21777,16167,2030292,13363866,218310675, %T A013024 3848323263,17777649162,1083429365196,4100141609445,313461156294543, %U A013024 4496165231894296,83761047906347382,2965706305429270221 %V A013024 1,0,-4,6,53,-310,-1084,21777,-16167,-2030292,13363866,218310675, %W A013024 -3848323263,-17777649162,1083429365196,-4100141609445, %X A013024 -313461156294543,4496165231894296,83761047906347382 %N A013024 sech(sinh(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3+53/4!*x^4-310/5!*x^5... %R A013024 %O A013024 0,3 %K A013024 sign,done %A A013024 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013025 %S A013025 1,2,4,8,16,34,88,296,1152,4546,17696,72712,343424,1843170,10274688, %T A013025 56506024,315332608,1910439298,12815815168,90064672520,629185325056, %U A013025 4400756254114,32422278027264,258933905154856,2168521319694336 %N A013025 exp(sinh(x)+sin(x))=1+2*x+4/2!*x^2+8/3!*x^3+16/4!*x^4+34/5!*x^5... %R A013025 %O A013025 0,2 %K A013025 nonn %A A013025 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013026 %S A013026 2,8,34,296,4546,72712,1843170,56506024,1910439298,90064672520, %T A013026 4400756254114,258933905154856,18174184183561026,1313346930072248584, %U A013026 116965585133798836578 %V A013026 2,-8,34,-296,4546,-72712,1843170,-56506024,1910439298,-90064672520, %W A013026 4400756254114,-258933905154856,18174184183561026, %X A013026 -1313346930072248584,116965585133798836578 %N A013026 sin(sinh(x)+sin(x))=2*x-8/3!*x^3+34/5!*x^5-296/7!*x^7+4546/9!*x^9... %R A013026 %O A013026 0,1 %K A013026 sign,done %A A013026 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013027 %S A013027 2,8,290,28968,5681090,1842232328,892470398690,603895065822888, %T A013027 544044172956617090,629546390483091920648,909985134104496272880290, %U A013027 1606847778379674628032205608,3403564972080411622205113812290 %N A013027 arcsin(sinh(x)+sin(x))=2*x+8/3!*x^3+290/5!*x^5+28968/7!*x^7... %R A013027 %O A013027 0,1 %K A013027 nonn %A A013027 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013028 %S A013028 2,16,514,35152,4127746,740674064,188488949250,64571541708368, %T A013028 28651429011593218,15984853455121457680,10952019804412753091074, %U A013028 9040261830823734670831952,8848477099508752781113283586 %N A013028 tan(sinh(x)+sin(x))=2*x+16/3!*x^3+514/5!*x^5+35152/7!*x^7... %R A013028 %O A013028 0,1 %K A013028 nonn %A A013028 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013029 %S A013029 2,16,770,92496,20740610,7474383376,3950577954050,2879011223666256, %T A013029 2766724614020441090,3389992164431254725136, %U A013029 5158145935254382213801730,9542165281823577542150984016 %V A013029 2,-16,770,-92496,20740610,-7474383376,3950577954050, %W A013029 -2879011223666256,2766724614020441090,-3389992164431254725136, %X A013029 5158145935254382213801730,-9542165281823577542150984016 %N A013029 arctan(sinh(x)+sin(x))=2*x-16/3!*x^3+770/5!*x^5-92496/7!*x^7... %R A013029 %O A013029 0,1 %K A013029 sign,done %A A013029 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013030 %S A013030 1,4,16,88,1152,17696,343424,10274688,315332608,12815815168, %T A013030 629185325056,32422278027264,2168521319694336,151839257015918592, %U A013030 12117141068938969088,1135217173587531628544 %V A013030 1,-4,16,-88,1152,-17696,343424,-10274688,315332608,-12815815168, %W A013030 629185325056,-32422278027264,2168521319694336,-151839257015918592, %X A013030 12117141068938969088,-1135217173587531628544 %N A013030 cos(sinh(x)+sin(x))=1-4/2!*x^2+16/4!*x^4-88/6!*x^6+1152/8!*x^8... %R A013030 %O A013030 0,2 %K A013030 sign,done %A A013030 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013031 %S A013031 1,4,80,3928,359040,52717856,11352019840,3370401007488, %T A013031 1319560185804800,658698869874201088,408325769541831280640, %U A013031 307740770628961995577344,277115224743231975378370560 %N A013031 sec(sinh(x)+sin(x))=1+4/2!*x^2+80/4!*x^4+3928/6!*x^6+359040/8!*x^8... %R A013031 %O A013031 0,2 %K A013031 nonn %A A013031 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013032 %S A013032 1,2,4,10,32,122,544,2874,17536,124274,997504,9112074,91956224, %T A013032 1034453162,12588279552,168010601274,2388796493824,36823967146978, %U A013032 598131709419520,10446218843141514,190679121272193024 %N A013032 exp(sinh(x)+arcsin(x))=1+2*x+4/2!*x^2+10/3!*x^3+32/4!*x^4+122/5!*x^5... %R A013032 %O A013032 0,2 %K A013032 nonn %A A013032 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013033 %S A013033 2,6,38,182,7118,828102,107900726,18234006902,4075490338462, %T A013033 1171273052028934,420782912153339462,184761832397434030518, %U A013033 97361652620963092009582,60642078389254498314740166 %V A013033 2,-6,-38,-182,-7118,-828102,-107900726,-18234006902,-4075490338462, %W A013033 -1171273052028934,-420782912153339462,-184761832397434030518, %X A013033 -97361652620963092009582,-60642078389254498314740166 %N A013033 sin(sinh(x)+arcsin(x))=2*x-6/3!*x^3-38/5!*x^5-182/7!*x^7-7118/9!*x^9... %R A013033 %O A013033 0,1 %K A013033 sign,done %A A013033 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013034 %S A013034 2,10,378,40506,8553330,2993345546,1566852695978,1146277553440826, %T A013034 1116896678593105890,1398153036485073410442, %U A013034 2186625537999184822244826,4178049614593046484845430458 %N A013034 arcsin(sinh(x)+arcsin(x))=2*x+10/3!*x^3+378/5!*x^5+40506/7!*x^7... %R A013034 %O A013034 0,1 %K A013034 nonn %A A013034 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013035 %S A013035 2,18,682,55762,7861330,1695960882,519152347066,213968420883442, %T A013035 114231299480266658,76681416778961132498,63215479683812222209738, %U A013035 62785613460405843207533202,73943247063260517632498040818 %N A013035 tan(sinh(x)+arcsin(x))=2*x+18/3!*x^3+682/5!*x^5+55762/7!*x^7... %R A013035 %O A013035 0,1 %K A013035 nonn %A A013035 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013036 %S A013036 2,14,618,67854,13932498,4595539054,2223446144762,1483204666755694, %T A013036 1304724424132456098,1463341903654250570574, %U A013036 2038145686298940181364106,3451301962890841287168044878 %V A013036 2,-14,618,-67854,13932498,-4595539054,2223446144762, %W A013036 -1483204666755694,1304724424132456098,-1463341903654250570574, %X A013036 2038145686298940181364106,-3451301962890841287168044878 %N A013036 arctan(sinh(x)+arcsin(x))=2*x-14/3!*x^3+618/5!*x^5-67854/7!*x^7... %R A013036 %O A013036 0,1 %K A013036 sign,done %A A013036 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013037 %S A013037 1,4,0,96,896,9344,1723392,271324928,59548864512,16721045069824, %T A013037 5792347300708352,2434568360083357696,1224114312879536340992, %U A013037 726747927831228516990976,503513226596571947134353408 %V A013037 1,-4,0,96,896,-9344,-1723392,-271324928,-59548864512, %W A013037 -16721045069824,-5792347300708352,-2434568360083357696, %X A013037 -1224114312879536340992,-726747927831228516990976 %N A013037 cos(sinh(x)+arcsin(x))=1-4/2!*x^2+96/6!*x^6+896/8!*x^8-9344/10!*x^10... %R A013037 %O A013037 0,2 %K A013037 sign,done %A A013037 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013038 %S A013038 2,10,122,2874,124274,9112074,1034453162,168010601274,36823967146978, %T A013038 10446218843141514,3718872682920253658,1622239694086774955962, %U A013038 850659321062686016092498,527826476315576424009984138 %N A013038 sinh(sinh(x)+arcsin(x))=2*x+10/3!*x^3+122/5!*x^5+2874/7!*x^7... %R A013038 %O A013038 0,1 %K A013038 nonn %A A013038 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013039 %S A013039 2,14,362,19470,1792466,252044910,50269392890,13495379849070, %T A013039 4692910238941858,2051818155560912718,1101718930208711475338, %U A013039 712681651399390391191118,546672148692020916583481458 %V A013039 2,-14,362,-19470,1792466,-252044910,50269392890,-13495379849070, %W A013039 4692910238941858,-2051818155560912718,1101718930208711475338, %X A013039 -712681651399390391191118,546672148692020916583481458 %N A013039 tanh(sinh(x)+arcsin(x))=2*x-14/3!*x^3+362/5!*x^5-19470/7!*x^7... %R A013039 %O A013039 0,1 %K A013039 sign,done %A A013039 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013040 %S A013040 2,18,938,122066,29635154,11561687346,6615385296570,5218960553242866, %T A013040 5429404407724397474,7201623832416658882514, %U A013040 11862352305394237757311946,23755795427038939521773734290 %N A013040 arctanh(sinh(x)+arcsin(x))=2*x+18/3!*x^3+938/5!*x^5+122066/7!*x^7... %R A013040 %O A013040 0,1 %K A013040 nonn %A A013040 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013041 %S A013041 1,4,32,544,17536,997504,91956224,12588279552,2388796493824, %T A013041 598131709419520,190679121272193024,75328224099389177856, %U A013041 36099809995192945868800,20626251224635998952554496 %N A013041 cosh(sinh(x)+arcsin(x))=1+4/2!*x^2+32/4!*x^4+544/6!*x^6+17536/8!*x^8... %R A013041 %O A013041 0,2 %K A013041 nonn %A A013041 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013042 %S A013042 1,4,96,5664,622720,110002304,28499801088,10180961396480, %T A013042 4796029025538048,2880634827782397952,2148613628413055418368, %U A013042 1948442293941619438944256,2111126262325896262110150656 %N A013042 sec(sinh(x)+arcsin(x))=1+4/2!*x^2+96/4!*x^4+5664/6!*x^6+622720/8!*x^8... %R A013042 %O A013042 0,2 %K A013042 nonn %A A013042 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013043 %S A013043 1,4,64,2464,176000,20274304,3418964992,795860555520,244118384340992, %T A013043 95517422279237632,46396805200416325632,27406009571869059219456, %U A013043 19339103621838228194852864,16071102347712787728213016576 %V A013043 1,-4,64,-2464,176000,-20274304,3418964992,-795860555520, %W A013043 244118384340992,-95517422279237632,46396805200416325632, %X A013043 -27406009571869059219456,19339103621838228194852864 %N A013043 sech(sinh(x)+arcsin(x))=1-4/2!*x^2+64/4!*x^4-2464/6!*x^6... %R A013043 %O A013043 0,2 %K A013043 sign,done %A A013043 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013044 %S A013044 1,2,4,11,40,169,838,4769,30552,217609,1707386,14606605,135377180, %T A013044 1350221253,14418478134,164081870257,1981956038800,25322934226033, %U A013044 341140167526450,4832627675466965,71801774865134884 %N A013044 exp(sinh(x)+tan(x))=1+2*x+4/2!*x^2+11/3!*x^3+40/4!*x^4+169/5!*x^5... %R A013044 %O A013044 0,2 %K A013044 nonn %A A013044 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013045 %S A013045 2,5,71,863,11207,103541,49174077,8312033249,1398228044113, %T A013045 258914411211565,53899233359866405,12606603233467211513, %U A013045 3280372963135603255161,933910604294766473632709 %V A013045 2,-5,-71,-863,-11207,103541,49174077,8312033249,1398228044113, %W A013045 258914411211565,53899233359866405,12606603233467211513, %X A013045 3280372963135603255161,933910604294766473632709 %N A013045 sin(sinh(x)+tan(x))=2*x-5/3!*x^3-71/5!*x^5-863/7!*x^7-11207/9!*x^9... %R A013045 %O A013045 0,1 %K A013045 sign,done %A A013045 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013046 %S A013046 2,11,425,46881,10232585,3706117901,2008472303045,1521507277095921, %T A013046 1535275094751720305,1990423852480654281941, %U A013046 3224061690528286452210365,6380512407093241159028111961 %N A013046 arcsin(sinh(x)+tan(x))=2*x+11/3!*x^3+425/5!*x^5+46881/7!*x^7... %R A013046 %O A013046 0,1 %K A013046 nonn %A A013046 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013047 %S A013047 2,19,769,67345,10170577,2350029977,770367837321,339987628582481, %T A013047 194352713896710433,139694411950654484905,123308135456808383622937, %U A013047 131131181574217458549045281,165356414397352918016200574961 %N A013047 tan(sinh(x)+tan(x))=2*x+19/3!*x^3+769/5!*x^5+67345/7!*x^7... %R A013047 %O A013047 0,1 %K A013047 nonn %A A013047 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013048 %S A013048 2,13,545,56943,11117105,3487836823,1604931814265,1018249076690703, %T A013048 851905379176813025,908738393030606172583,1203783991693440890209385, %U A013048 1938726869386079701650506463,3730626726793168631595206099345 %V A013048 2,-13,545,-56943,11117105,-3487836823,1604931814265, %W A013048 -1018249076690703,851905379176813025,-908738393030606172583, %X A013048 1203783991693440890209385,-1938726869386079701650506463 %N A013048 arctan(sinh(x)+tan(x))=2*x-13/3!*x^3+545/5!*x^5-56943/7!*x^7... %R A013048 %O A013048 0,1 %K A013048 sign,done %A A013048 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013049 %S A013049 1,4,8,122,5352,239494,14203028,1067540778,94081990576,8737926966734, %T A013049 612930093492268,75242844404703342,70546032648374158392, %U A013049 35348193779396075142282,16607148139155135705120508 %V A013049 1,-4,-8,122,5352,239494,14203028,1067540778,94081990576, %W A013049 8737926966734,612930093492268,-75242844404703342, %X A013049 -70546032648374158392,-35348193779396075142282 %N A013049 cos(sinh(x)+tan(x))=1-4/2!*x^2-8/4!*x^4+122/6!*x^6+5352/8!*x^8... %R A013049 %O A013049 0,2 %K A013049 sign,done %A A013049 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013050 %S A013050 2,11,169,4769,217609,14606605,1350221253,164081870257, %T A013050 25322934226033,4832627675466965,1116477298604666173, %U A013050 306896930595302899225,98935734981363698562921 %N A013050 sinh(sinh(x)+tan(x))=2*x+11/3!*x^3+169/5!*x^5+4769/7!*x^7... %R A013050 %O A013050 0,1 %K A013050 nonn %A A013050 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013051 %S A013051 2,13,289,13039,1003825,118036631,19683093369,4418337316175, %T A013051 1284612873046753,469616483548721575,210832414586400163561, %U A013051 114033567896612568885023,73135588741410223752308241 %V A013051 2,-13,289,-13039,1003825,-118036631,19683093369,-4418337316175, %W A013051 1284612873046753,-469616483548721575,210832414586400163561, %X A013051 -114033567896612568885023,73135588741410223752308241 %N A013051 tanh(sinh(x)+tan(x))=2*x-13/3!*x^3+289/5!*x^5-13039/7!*x^7... %R A013051 %O A013051 0,1 %K A013051 sign,done %A A013051 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013052 %S A013052 2,19,1025,138129,34734545,14037224089,8320152726665, %T A013052 6799527662204049,7327672308214372385,10068470883926665540009, %U A013052 17180000319605942481431705,35640287243130630709541583969 %N A013052 arctanh(sinh(x)+tan(x))=2*x+19/3!*x^3+1025/5!*x^5+138129/7!*x^7... %R A013052 %O A013052 0,1 %K A013052 nonn %A A013052 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013053 %S A013053 1,4,40,838,30552,1707386,135377180,14418478134,1981956038800, %T A013053 341140167526450,71801774865134884,18129869560471615566, %U A013053 5405857829920953229464,1878454353945148977036042 %N A013053 cosh(sinh(x)+tan(x))=1+4/2!*x^2+40/4!*x^4+838/6!*x^6+30552/8!*x^8... %R A013053 %O A013053 0,2 %K A013053 nonn %A A013053 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013054 %S A013054 1,4,104,6598,778200,147293306,40870375036,15634022134518, %T A013054 7885949713950992,5071562424714844978,4050326064394675777988, %U A013054 3932747393021585152266894,4562459896809464230996563288 %N A013054 sec(sinh(x)+tan(x))=1+4/2!*x^2+104/4!*x^4+6598/6!*x^6+778200/8!*x^8... %R A013054 %O A013054 0,2 %K A013054 nonn %A A013054 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013055 %S A013055 1,4,56,1798,107880,10378106,1464480244,284901103638,73088762562608, %T A013055 23906588709686578,9710588243080306892,4795485037260052060974, %U A013055 2829543191798552453252232,1965959284877954280984856842 %V A013055 1,-4,56,-1798,107880,-10378106,1464480244,-284901103638, %W A013055 73088762562608,-23906588709686578,9710588243080306892, %X A013055 -4795485037260052060974,2829543191798552453252232 %N A013055 sech(sinh(x)+tan(x))=1-4/2!*x^2+56/4!*x^4-1798/6!*x^6+107880/8!*x^8... %R A013055 %O A013055 0,2 %K A013055 sign,done %A A013055 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013056 %S A013056 1,2,4,7,8,17,214,1089,2120,36439,244474,4128909,19663636,543199915, %T A013056 2667954774,101851512369,459657139376,24809162213327,101692759589938, %U A013056 7679423522214741,27454474974890796,2941007926918920787 %V A013056 1,2,4,7,8,17,214,1089,-2120,-36439,244474,4128909,-19663636, %W A013056 -543199915,2667954774,101851512369,-459657139376,-24809162213327, %X A013056 101692759589938,7679423522214741,-27454474974890796 %N A013056 exp(sinh(x)+arctan(x))=1+2*x+4/2!*x^2+7/3!*x^3+8/4!*x^4+17/5!*x^5... %R A013056 %O A013056 0,2 %K A013056 sign,done %A A013056 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013057 %S A013057 2,9,97,3647,232345,22882827,3272680621,637916495327,162606798592913, %T A013057 52505736635681875,20944212007429454773,10113746586163575672327, %U A013057 5814258990406275572824793,3923952439639112617298141691 %V A013057 2,-9,97,-3647,232345,-22882827,3272680621,-637916495327, %W A013057 162606798592913,-52505736635681875,20944212007429454773, %X A013057 -10113746586163575672327,5814258990406275572824793 %N A013057 sin(sinh(x)+arctan(x))=2*x-9/3!*x^3+97/5!*x^5-3647/7!*x^7... %R A013057 %O A013057 0,1 %K A013057 sign,done %A A013057 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013058 %S A013058 2,7,273,25281,4860585,1520437901,713815391573,467486065936241, %T A013058 407759612652705585,456789179734173978453,639216817349035080850221, %U A013058 1092719494568563774636567193,2240714632058571537628165246601 %N A013058 arcsin(sinh(x)+arctan(x))=2*x+7/3!*x^3+273/5!*x^5+25281/7!*x^7... %R A013058 %O A013058 0,1 %K A013058 nonn %A A013058 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013059 %S A013059 2,15,457,29617,3297169,560934297,135342237097,43959449406097, %T A013059 18493589269412513,9782445742655891369,6354726795266610690553, %U A013059 4973333104842494619682401,4615289488773714133654687793 %N A013059 tan(sinh(x)+arctan(x))=2*x+15/3!*x^3+457/5!*x^5+29617/7!*x^7... %R A013059 %O A013059 0,1 %K A013059 nonn %A A013059 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013060 %S A013060 2,17,873,110799,26183793,9939372439,5533091086937,4246813468523599, %T A013060 4298292149692645473,5546746219608789662631, %U A013060 8888791155284908218974601,17318307957227833839826977823 %V A013060 2,-17,873,-110799,26183793,-9939372439,5533091086937, %W A013060 -4246813468523599,4298292149692645473,-5546746219608789662631, %X A013060 8888791155284908218974601,-17318307957227833839826977823 %N A013060 arctan(sinh(x)+atan(x))=2*x-17/3!*x^3+873/5!*x^5-110799/7!*x^7... %R A013060 %O A013060 0,1 %K A013060 sign,done %A A013060 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013061 %S A013061 1,4,24,534,27272,2170874,260563908,43811275382,9816624434928, %T A013061 2827858695802930,1018209224687676028,448073447471574806926, %U A013061 236608835615446145622184,147657298507133683247970826 %V A013061 1,-4,24,-534,27272,-2170874,260563908,-43811275382,9816624434928, %W A013061 -2827858695802930,1018209224687676028,-448073447471574806926, %X A013061 236608835615446145622184,-147657298507133683247970826 %N A013061 cos(sinh(x)+arctan(x))=1-4/2!*x^2+24/4!*x^4-534/6!*x^6+27272/8!*x^8... %R A013061 %O A013061 0,2 %K A013061 sign,done %A A013061 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013062 %S A013062 2,7,17,1089,36439,4128909,543199915,101851512369,24809162213327, %T A013062 7679423522214741,2941007926918920787,1365818062351654896985, %U A013062 756306211537089880852727,492352824778983285953918013 %V A013062 2,7,17,1089,-36439,4128909,-543199915,101851512369,-24809162213327, %W A013062 7679423522214741,-2941007926918920787,1365818062351654896985, %X A013062 -756306211537089880852727,492352824778983285953918013 %N A013062 sinh(sinh(x)+arctan(x))=2*x+7/3!*x^3+17/5!*x^5+1089/7!*x^7... %R A013062 %O A013062 0,1 %K A013062 sign,done %A A013062 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013063 %S A013063 2,17,617,48975,6737777,1421214615,425703805529,171743951533455, %T A013063 89764180627128673,58996320723281672103,47619994236282288610313, %U A013063 46308836140187913937129823,53400247746119449830219271633 %V A013063 2,-17,617,-48975,6737777,-1421214615,425703805529,-171743951533455, %W A013063 89764180627128673,-58996320723281672103,47619994236282288610313, %X A013063 -46308836140187913937129823,53400247746119449830219271633 %N A013063 tanh(sinh(x)+arctan(x))=2*x-17/3!*x^3+617/5!*x^5-48975/7!*x^7... %R A013063 %O A013063 0,1 %K A013063 sign,done %A A013063 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013064 %S A013064 2,15,713,82481,17926289,6251997081,3199183099305,2256926363091921, %T A013064 2099642392012962209,2490468291041882743721, %U A013064 3668423635534285779378041,6569558349739213693016437665 %N A013064 arctanh(sinh(x)+atan(x))=2*x+15/3!*x^3+713/5!*x^5+82481/7!*x^7... %R A013064 %O A013064 0,1 %K A013064 nonn %A A013064 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013065 %S A013065 1,4,8,214,2120,244474,19663636,2667954774,459657139376, %T A013065 101692759589938,27454474974890796,8721787160293603566, %U A013065 3104642361378992916296,1136421744211874484529546 %V A013065 1,4,8,214,-2120,244474,-19663636,2667954774,-459657139376, %W A013065 101692759589938,-27454474974890796,8721787160293603566, %X A013065 -3104642361378992916296,1136421744211874484529546 %N A013065 cosh(sinh(x)+arctan(x))=1+4/2!*x^2+8/4!*x^4+214/6!*x^6-2120/8!*x^8... %R A013065 %O A013065 0,2 %K A013065 sign,done %A A013065 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013066 %S A013066 1,4,72,3414,293944,41039354,8367429708,2357010259478, %T A013066 874618137470928,414021560815549234,243310775798418308468, %U A013066 173871629687917706426926,148440940042136025757065080 %N A013066 sec(sinh(x)+arctan(x))=1+4/2!*x^2+72/4!*x^4+3414/6!*x^6+293944/8!*x^8... %R A013066 %O A013066 0,2 %K A013066 nonn %A A013066 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013067 %S A013067 1,4,88,5014,538376,93064954,23605179172,8256285769398, %T A013067 3808207305952112,2239609649656903474,1635640402649689743132, %U A013067 1452319030188781207688526,1540754005662731974429453160 %V A013067 1,-4,88,-5014,538376,-93064954,23605179172,-8256285769398, %W A013067 3808207305952112,-2239609649656903474,1635640402649689743132, %X A013067 -1452319030188781207688526,1540754005662731974429453160 %N A013067 sech(sinh(x)+arctan(x))=1-4/2!*x^2+88/4!*x^4-5014/6!*x^6... %R A013067 %O A013067 0,2 %K A013067 sign,done %A A013067 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013068 %S A013068 1,2,6,24,140,992,8456,84224,957840,12257792,174293856,2726068224, %T A013068 46514037440,859790139392,17115342333056,365041325441024, %U A013068 8304761365213440,200743379109281792,5137820023434733056 %V A013068 1,-2,6,-24,140,-992,8456,-84224,957840,-12257792,174293856, %W A013068 -2726068224,46514037440,-859790139392,17115342333056, %X A013068 -365041325441024,8304761365213440,-200743379109281792 %N A013068 log(sinh(x)+cos(x))=x-2/2!*x^2+6/3!*x^3-24/4!*x^4+140/5!*x^5... %R A013068 %O A013068 0,2 %K A013068 sign,done %A A013068 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013069 %S A013069 1,2,3,3,3,15,45,315,1575,14175,99225,1091475,9823275,127702575, %T A013069 1404728325,21070924875,273922023375,4656674397375,69850115960625, %U A013069 1327152203251875,22561587455281875,473793336560919375 %V A013069 1,2,3,3,-3,-15,45,315,-1575,-14175,99225,1091475,-9823275, %W A013069 -127702575,1404728325,21070924875,-273922023375,-4656674397375, %X A013069 69850115960625,1327152203251875,-22561587455281875 %N A013069 exp(arcsinh(x)+log(x+1))=1+2*x+3/2!*x^2+3/3!*x^3-3/4!*x^4-15/5!*x^5... %R A013069 %O A013069 0,2 %K A013069 sign,done %A A013069 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013070 %S A013070 2,1,7,18,5,135,2510,13300,22895,456075,10766650,86950050,224989375, %T A013070 6482478275,213120778000,2265017781000,5257017140375,268111942824375, %U A013070 12649162007056250,161640657722878750,19598816145861875 %V A013070 2,-1,-7,18,-5,135,-2510,13300,-22895,456075,-10766650,86950050, %W A013070 -224989375,6482478275,-213120778000,2265017781000,-5257017140375, %X A013070 268111942824375,-12649162007056250,161640657722878750 %N A013070 sin(arcsinh(x)+log(x+1))=2*x-1/2!*x^2-7/3!*x^3+18/4!*x^4-5/5!*x^5... %R A013070 %O A013070 0,1 %K A013070 sign,done %A A013070 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013071 %S A013071 2,1,9,30,391,2775,46172,553588,11192005,191351925,4574986218, %T A013071 101907446454,2833505631927,77498068854843,2470831451157672, %U A013071 79828818251187240,2882452216947371577,107102178298972458153 %V A013071 2,-1,9,-30,391,-2775,46172,-553588,11192005,-191351925,4574986218, %W A013071 -101907446454,2833505631927,-77498068854843,2470831451157672, %X A013071 -79828818251187240,2882452216947371577,-107102178298972458153 %N A013071 arcsin(arcsinh(x)+log(x+1))=2*x-1/2!*x^2+9/3!*x^3-30/4!*x^4+391/5!*x^5... %R A013071 %O A013071 0,1 %K A013071 sign,done %A A013071 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013072 %S A013072 2,1,17,54,685,4950,66265,757400,11694805,178921800,3236694875, %T A013072 61062375000,1283939654075,28563558478000,688487451426125, %U A013072 17578710756204000,478975365932337625,13780824752845800000 %V A013072 2,-1,17,-54,685,-4950,66265,-757400,11694805,-178921800,3236694875, %W A013072 -61062375000,1283939654075,-28563558478000,688487451426125, %X A013072 -17578710756204000,478975365932337625,-13780824752845800000 %N A013072 tan(arcsinh(x)+log(x+1))=2*x-1/2!*x^2+17/3!*x^3-54/4!*x^4+685/5!*x^5... %R A013072 %O A013072 0,1 %K A013072 sign,done %A A013072 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013073 %S A013073 2,1,15,42,661,4890,66619,1034936,11317021,345817440,2547339861, %T A013073 165729594888,460712169615,106781858632176,333854778870681, %U A013073 88033258608789600,955215842270538663,89112531829178052288 %V A013073 2,-1,-15,42,661,-4890,-66619,1034936,11317021,-345817440, %W A013073 -2547339861,165729594888,460712169615,-106781858632176, %X A013073 333854778870681,88033258608789600,-955215842270538663 %N A013073 arctan(arcsinh(x)+log(x+1))=2*x-1/2!*x^2-15/3!*x^3+42/4!*x^4+661/5!*x^5... %R A013073 %O A013073 0,1 %K A013073 sign,done %A A013073 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013074 %S A013074 1,0,4,6,5,10,220,525,8485,46260,197750,1170125,86033725,778687650, %T A013074 1197306500,78964192125,3166659679625,40031792593000,227546036519750, %U A013074 8010745066189125,311948554085325625,5058638930105328750 %V A013074 1,0,-4,6,5,-10,-220,525,8485,-46260,-197750,-1170125,86033725, %W A013074 -778687650,1197306500,-78964192125,3166659679625,-40031792593000, %X A013074 227546036519750,-8010745066189125,311948554085325625 %N A013074 cos(arcsinh(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3+5/4!*x^4-10/5!*x^5... %R A013074 %O A013074 0,3 %K A013074 sign,done %A A013074 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013075 %S A013075 2,1,7,18,251,1785,19982,311668,2913569,91711485,552487698, %T A013075 39470080914,65100175929,23245363302525,96919211293848, %U A013075 17705730882051720,211105141092307143,16681025379015259353 %V A013075 2,-1,-7,18,251,-1785,-19982,311668,2913569,-91711485,-552487698, %W A013075 39470080914,65100175929,-23245363302525,96919211293848, %X A013075 17705730882051720,-211105141092307143,-16681025379015259353 %N A013075 arcsinh(arcsinh(x)+log(x+1))=2*x-1/2!*x^2-7/3!*x^3+18/4!*x^4+251/5!*x^5... %R A013075 %O A013075 0,1 %K A013075 sign,done %A A013075 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013076 %S A013076 2,1,15,42,405,2970,20475,335160,1357965,54999000,31340925, %T A013076 12203314200,48569546025,3449672226000,35421501740625, %U A013076 1174230285228000,23134846868508375,448847662070808000 %V A013076 2,-1,-15,42,405,-2970,-20475,335160,1357965,-54999000,-31340925, %W A013076 12203314200,-48569546025,-3449672226000,35421501740625, %X A013076 1174230285228000,-23134846868508375,-448847662070808000 %N A013076 tanh(arcsinh(x)+log(x+1))=2*x-1/2!*x^2-15/3!*x^3+42/4!*x^4+405/5!*x^5... %R A013076 %O A013076 0,1 %K A013076 sign,done %A A013076 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013077 %S A013077 2,1,17,54,941,6870,134809,1663256,37308773,659405520,16954969731, %T A013077 390215041128,11457328741491,323357478963792,10764066316205589, %U A013077 358159843517217120,13401859568448307977,511761741309021204288 %V A013077 2,-1,17,-54,941,-6870,134809,-1663256,37308773,-659405520, %W A013077 16954969731,-390215041128,11457328741491,-323357478963792, %X A013077 10764066316205589,-358159843517217120,13401859568448307977 %N A013077 arctanh(arcsinh(x)+log(x+1))=2*x-1/2!*x^2+17/3!*x^3-54/4!*x^4... %R A013077 %O A013077 0,1 %K A013077 sign,done %A A013077 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013078 %S A013078 1,0,4,6,27,150,900,5985,47565,442260,4450950,47868975,571153275, %T A013078 7552695150,106248542400,1572657211125,25057160753625, %U A013078 430628407209000,7779251376146250,146478623943526875 %V A013078 1,0,4,-6,27,-150,900,-5985,47565,-442260,4450950,-47868975, %W A013078 571153275,-7552695150,106248542400,-1572657211125,25057160753625, %X A013078 -430628407209000,7779251376146250,-146478623943526875 %N A013078 cosh(arcsinh(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+27/4!*x^4-150/5!*x^5... %R A013078 %O A013078 0,3 %K A013078 sign,done %A A013078 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013079 %S A013079 1,0,4,6,91,470,6100,57225,822065,11044260,184836950,3164767375, %T A013079 61845881375,1272676666950,28707736665400,686107336312125, %U A013079 17613438383958625,478324499820401000,13791544596522540250 %V A013079 1,0,4,-6,91,-470,6100,-57225,822065,-11044260,184836950,-3164767375, %W A013079 61845881375,-1272676666950,28707736665400,-686107336312125, %X A013079 17613438383958625,-478324499820401000,13791544596522540250 %N A013079 sec(arcsinh(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+91/4!*x^4-470/5!*x^5... %R A013079 %O A013079 0,3 %K A013079 sign,done %A A013079 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013080 %S A013080 1,0,4,6,69,330,2700,29925,164745,4116420,9894150,791943075, %T A013080 1224167175,199738989450,1368120253500,62416549069875, %U A013080 901935831171375,22756961540313000,604804116364197750 %V A013080 1,0,-4,6,69,-330,-2700,29925,164745,-4116420,-9894150,791943075, %W A013080 -1224167175,-199738989450,1368120253500,62416549069875, %X A013080 -901935831171375,-22756961540313000,604804116364197750 %N A013080 sech(arcsinh(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3+69/4!*x^4-330/5!*x^5... %R A013080 %O A013080 0,3 %K A013080 sign,done %A A013080 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013081 %S A013081 2,3,10,50,348,2984,30392,362704,4961296,76245664,1300812544, %T A013081 24422250368,500336707648,11103109689216,265322822941056, %U A013081 6793379754870784,185540068027414784,5384094013002699264 %V A013081 2,-3,10,-50,348,-2984,30392,-362704,4961296,-76245664,1300812544, %W A013081 -24422250368,500336707648,-11103109689216,265322822941056, %X A013081 -6793379754870784,185540068027414784,-5384094013002699264 %N A013081 log(arcsinh(x)+exp(x))=2*x-3/2!*x^2+10/3!*x^3-50/4!*x^4+348/5!*x^5... %R A013081 %O A013081 0,1 %K A013081 sign,done %A A013081 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013082 %S A013082 1,2,4,6,0,38,96,182,896,7118,9344,828102,1723392,107900726, %T A013082 271324928,18234006902,59548864512,4075490338462,16721045069824, %U A013082 1171273052028934,5792347300708352,420782912153339462 %V A013082 1,2,4,6,0,-38,-96,182,896,-7118,9344,828102,-1723392,-107900726, %W A013082 271324928,18234006902,-59548864512,-4075490338462,16721045069824, %X A013082 1171273052028934,-5792347300708352,-420782912153339462 %N A013082 exp(arcsinh(x)+sin(x))=1+2*x+4/2!*x^2+6/3!*x^3-38/5!*x^5-96/6!*x^6... %R A013082 %O A013082 0,2 %K A013082 sign,done %A A013082 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013083 %S A013083 2,6,218,19894,3605042,1071814854,476307806154,295358490331254, %T A013083 243794366120035682,258411431296057056262,342099898262700954007226, %U A013083 553199120991918158454260406,1072989618644463063657069172626 %N A013083 arcsin(arcsinh(x)+sin(x))=2*x+6/3!*x^3+218/5!*x^5+19894/7!*x^7... %R A013083 %O A013083 0,1 %K A013083 nonn %A A013083 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013084 %S A013084 1,2,4,8,16,50,280,1640,8320,58850,628000,6283400,51414400,567708050, %T A013084 8930646400,126381905000,1426497280000,21409252621250, %U A013084 444950339392000,8140276707797000,117131784689920000 %N A013084 exp(arcsinh(x)+arcsin(x))=1+2*x+4/2!*x^2+8/3!*x^3+16/4!*x^4+50/5!*x^5... %R A013084 %O A013084 0,2 %K A013084 nonn %A A013084 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013085 %S A013085 2,8,50,1640,58850,6283400,567708050,126381905000,21409252621250, %T A013085 8140276707797000,2222353037612971250,1287992600187524465000, %U A013085 516691580745576332281250,424013763725285298417125000 %V A013085 2,-8,50,-1640,58850,-6283400,567708050,-126381905000, %W A013085 21409252621250,-8140276707797000,2222353037612971250, %X A013085 -1287992600187524465000,516691580745576332281250 %N A013085 sin(arcsinh(x)+arcsin(x))=2*x-8/3!*x^3+50/5!*x^5-1640/7!*x^7... %R A013085 %O A013085 0,1 %K A013085 sign,done %A A013085 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013086 %S A013086 2,8,306,30312,5993442,1954414728,953905703058,650409090147432, %T A013086 590608999475062722,688945370061378414600,1003968219388341434081778, %U A013086 1787361481981953243947889000,3817161109431432209134714003362 %N A013086 arcsin(arcsinh(x)+arcsin(x))=2*x+8/3!*x^3+306/5!*x^5+30312/7!*x^7... %R A013086 %O A013086 0,1 %K A013086 nonn %A A013086 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013087 %S A013087 2,16,530,37840,4665890,880829200,236051798450,85184059714000, %T A013087 39823482623005250,23410203659063338000,16900988192636551591250, %U A013087 14700311020824054699970000,15161633552176216519055281250 %N A013087 tan(arcsinh(x)+arcsin(x))=2*x+16/3!*x^3+530/5!*x^5+37840/7!*x^7... %R A013087 %O A013087 0,1 %K A013087 nonn %A A013087 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013088 %S A013088 2,16,786,95184,21536802,7826481936,4171610593458,3065657686804944, %T A013088 2970875779254468162,3670749245446679143440, %U A013088 5632318074161153772233298,10506981374857963835979345360 %V A013088 2,-16,786,-95184,21536802,-7826481936,4171610593458, %W A013088 -3065657686804944,2970875779254468162,-3670749245446679143440, %X A013088 5632318074161153772233298,-10506981374857963835979345360 %N A013088 arctan(arcsinh(x)+arcsin(x))=2*x-16/3!*x^3+786/5!*x^5-95184/7!*x^7... %R A013088 %O A013088 0,1 %K A013088 sign,done %A A013088 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013089 %S A013089 1,4,16,280,8320,628000,51414400,8930646400,1426497280000, %T A013089 444950339392000,117131784689920000,57406016313168640000, %U A013089 22526613550121973760000,15953943354322290304000000 %V A013089 1,-4,16,-280,8320,-628000,51414400,-8930646400,1426497280000, %W A013089 -444950339392000,117131784689920000,-57406016313168640000, %X A013089 22526613550121973760000,-15953943354322290304000000 %N A013089 cos(arcsinh(x)+arcsin(x))=1-4/2!*x^2+16/4!*x^4-280/6!*x^6+8320/8!*x^8... %R A013089 %O A013089 0,2 %K A013089 sign,done %A A013089 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013090 %S A013090 1,4,80,4120,394880,61069600,13845756800,4331363670400, %T A013090 1786609560320000,939754328209216000,613833877949676800000, %U A013090 487486352498634760960000,462560462591422971975680000 %N A013090 sec(arcsinh(x)+arcsin(x))=1+4/2!*x^2+80/4!*x^4+4120/6!*x^6... %R A013090 %O A013090 0,2 %K A013090 nonn %A A013090 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013091 %S A013091 1,2,4,9,24,97,534,2975,16520,114217,1017914,8693355,66612612, %T A013091 641356549,8612481206,99659748575,839464647792,10015783072433, %U A013091 223263066398386,3322983000373651,20349154329810172 %V A013091 1,2,4,9,24,97,534,2975,16520,114217,1017914,8693355,66612612, %W A013091 641356549,8612481206,99659748575,839464647792,10015783072433, %X A013091 223263066398386,3322983000373651,20349154329810172 %N A013091 exp(arcsinh(x)+tan(x))=1+2*x+4/2!*x^2+9/3!*x^3+24/4!*x^4+97/5!*x^5... %R A013091 %O A013091 0,2 %K A013091 sign,done %A A013091 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013092 %S A013092 2,7,17,1761,38969,5371821,533244077,95701880241,21713687902033, %T A013092 6101409790911765,2263678163011472213,978147247105547939065, %U A013092 524239837552651158862393,325081913127198568147313565 %V A013092 2,-7,17,-1761,38969,-5371821,533244077,-95701880241,21713687902033, %W A013092 -6101409790911765,2263678163011472213,-978147247105547939065, %X A013092 524239837552651158862393,-325081913127198568147313565 %N A013092 sin(arcsinh(x)+tan(x))=2*x-7/3!*x^3+17/5!*x^5-1761/7!*x^7... %R A013092 %O A013092 0,1 %K A013092 sign,done %A A013092 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013093 %S A013093 2,9,353,36127,7419689,2519219307,1280747887365,909855771741087, %T A013093 860921603373531569,1046563741920342113683,1589442687608631843671261, %U A013093 2949181123861547205884282919,6564606761141895501409883816841 %N A013093 arcsin(arcsinh(x)+tan(x))=2*x+9/3!*x^3+353/5!*x^5+36127/7!*x^7... %R A013093 %O A013093 0,1 %K A013093 nonn %A A013093 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013094 %S A013094 2,17,617,48303,6522881,1347329463,394859190065,155788454490063, %T A013094 79615692221453953,51158770289333605479,40370803594653993695153, %U A013094 38380940325618664357898303,43267817873570429233783437313 %N A013094 tan(arcsinh(x)+tan(x))=2*x+17/3!*x^3+617/5!*x^5+48303/7!*x^7... %R A013094 %O A013094 0,1 %K A013094 nonn %A A013094 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013095 %S A013095 2,15,713,83153,18098465,6328374393,3245239225473,2294518136964753, %T A013095 2139313609395769025,2543121979063032972521, %U A013095 3754239719924358293059361,6738064500911247767580261057 %V A013095 2,-15,713,-83153,18098465,-6328374393,3245239225473, %W A013095 -2294518136964753,2139313609395769025,-2543121979063032972521, %X A013095 3754239719924358293059361,-6738064500911247767580261057 %N A013095 arctan(arcsinh(x)+tan(x))=2*x-15/3!*x^3+713/5!*x^5-83153/7!*x^7... %R A013095 %O A013095 0,1 %K A013095 sign,done %A A013095 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013096 %S A013096 1,4,8,214,8632,381754,56522540,6087452310,1458087413200, %T A013096 333863833250482,114840891055289940,44663949601714088046, %U A013096 21870152705694370672888,12543311598815172475041226 %V A013096 1,-4,8,-214,8632,-381754,56522540,-6087452310,1458087413200, %W A013096 -333863833250482,114840891055289940,-44663949601714088046, %X A013096 21870152705694370672888,-12543311598815172475041226 %N A013096 cos(arcsinh(x)+tan(x))=1-4/2!*x^2+8/4!*x^4-214/6!*x^6+8632/8!*x^8... %R A013096 %O A013096 0,2 %K A013096 sign,done %A A013096 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013097 %S A013097 2,7,273,25953,4935993,1550066093,727992520877,477706621753073, %T A013097 417426531017836113,468554517235713007893,657016357969010026027221, %U A013097 1125485924474211875062297145,2312766814097571417683969638841 %V A013097 2,-7,273,-25953,4935993,-1550066093,727992520877,-477706621753073, %W A013097 417426531017836113,-468554517235713007893,657016357969010026027221, %X A013097 -1125485924474211875062297145,2312766814097571417683969638841 %N A013097 arcsinh(arcsinh(x)+tan(x))=2*x-7/3!*x^3+273/5!*x^5-25953/7!*x^7... %R A013097 %O A013097 0,1 %K A013097 sign,done %A A013097 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013098 %S A013098 2,15,457,30289,3469345,608926329,151766090881,50946876706129, %T A013098 22157750605438913,12118460218882345193,8139938757873193425313, %U A013098 6587354373887296232631681,6321346340322177807347908193 %V A013098 2,-15,457,-30289,3469345,-608926329,151766090881,-50946876706129, %W A013098 22157750605438913,-12118460218882345193,8139938757873193425313, %X A013098 -6587354373887296232631681,6321346340322177807347908193 %N A013098 tanh(arcsinh(x)+tan(x))=2*x-15/3!*x^3+457/5!*x^5-30289/7!*x^7... %R A013098 %O A013098 0,1 %K A013098 sign,done %A A013098 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013099 %S A013099 2,17,873,110127,25968897,9837102007,5465752395569,4187179894797967, %T A013099 4229947817463760257,5448264281798198909031, %U A013099 8714522311726067909334321,16946786732387040593899895551 %N A013099 arctanh(arcsinh(x)+tan(x))=2*x+17/3!*x^3+873/5!*x^5+110127/7!*x^7... %R A013099 %O A013099 0,1 %K A013099 nonn %A A013099 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013100 %S A013100 1,4,24,534,16520,1017914,66612612,8612481206,839464647792, %T A013100 223263066398386,20349154329810172,15355587487339427086, %U A013100 408311328299061735320,2681720930486026740373066 %V A013100 1,4,24,534,16520,1017914,66612612,8612481206,839464647792, %W A013100 223263066398386,20349154329810172,15355587487339427086, %X A013100 -408311328299061735320,2681720930486026740373066 %N A013100 cosh(arcsinh(x)+tan(x))=1+4/2!*x^2+24/4!*x^4+534/6!*x^6+16520/8!*x^8... %R A013100 %O A013100 0,2 %K A013100 sign,done %A A013100 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) (this one is correct) %I A013101 %S A013101 1,4,88,5014,527624,89331514,22153827556,7576868616438, %T A013101 3416549387012336,1964348168375260594,1402481265951220466076, %U A013101 1217416473808119071396046,1262628491065344385303595816 %N A013101 sec(arcsinh(x)+tan(x))=1+4/2!*x^2+88/4!*x^4+5014/6!*x^6+527624/8!*x^8... %R A013101 %O A013101 0,2 %K A013101 nonn %A A013101 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013102 %S A013102 1,4,72,3414,304696,43757114,9229955724,2685455642198, %T A013102 1030584093889104,504321546504212914,306492028524272596724, %U A013102 226465717137080425353646,199935485865217931345463224 %V A013102 1,-4,72,-3414,304696,-43757114,9229955724,-2685455642198, %W A013102 1030584093889104,-504321546504212914,306492028524272596724, %X A013102 -226465717137080425353646,199935485865217931345463224 %N A013102 sech(arcsinh(x)+tan(x))=1-4/2!*x^2+72/4!*x^4-3414/6!*x^6... %R A013102 %O A013102 0,2 %K A013102 sign,done %A A013102 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013103 %S A013103 1,2,4,5,8,55,70,1535,920,80695,28550,6860075,10642900,859242475, %T A013103 2554095050,148907237375,685535422000,34123911391375,219648785612750, %U A013103 9992873727945875,84602550046787500,3640782796679981875 %V A013103 1,2,4,5,-8,-55,70,1535,-920,-80695,-28550,6860075,10642900, %W A013103 -859242475,-2554095050,148907237375,685535422000,-34123911391375, %X A013103 -219648785612750,9992873727945875,84602550046787500 %N A013103 exp(arcsinh(x)+arctan(x))=1+2*x+4/2!*x^2+5/3!*x^3-8/4!*x^4-55/5!*x^5... %R A013103 %O A013103 0,2 %K A013103 sign,done %A A013103 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013104 %S A013104 2,11,185,6785,438425,44098925,6375156125,1253044612625, %T A013104 321457635604625,104323833636303125,41784590833455153125, %U A013104 20245593926258507665625,11671970082146320158265625 %V A013104 2,-11,185,-6785,438425,-44098925,6375156125,-1253044612625, %W A013104 321457635604625,-104323833636303125,41784590833455153125, %X A013104 -20245593926258507665625,11671970082146320158265625 %N A013104 sin(arcsinh(x)+arctan(x))=2*x-11/3!*x^3+185/5!*x^5-6785/7!*x^7... %R A013104 %O A013104 0,1 %K A013104 sign,done %A A013104 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013105 %S A013105 2,5,201,16767,2966985,843657003,360874106901,214962711675327, %T A013105 170540233765256817,173705883261260614803,220988408403985490684493, %U A013105 343398031722161543448485703,640041489411864479945549850537 %N A013105 arcsin(arcsinh(x)+arctan(x))=2*x+5/3!*x^3+201/5!*x^5+16767/7!*x^7... %R A013105 %O A013105 0,1 %K A013105 nonn %A A013105 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013106 %S A013106 2,13,305,15055,1273025,164517175,30146073425,7436961751375, %T A013106 2376178127194625,954639310366870375,470988100516584340625, %U A013106 279956419390270100749375,197317558974617657009890625 %N A013106 tan(arcsinh(x)+arctan(x))=2*x+13/3!*x^3+305/5!*x^5+15055/7!*x^7... %R A013106 %O A013106 0,1 %K A013106 nonn %A A013106 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013107 %S A013107 2,19,1041,141489,35842401,14587836921,8707393003617, %T A013107 7166002987401489,7776862795242656577,10760731866324884664297, %U A013107 18490186709158886988610113,38627726709262739118225523137 %V A013107 2,-19,1041,-141489,35842401,-14587836921,8707393003617, %W A013107 -7166002987401489,7776862795242656577,-10760731866324884664297, %X A013107 18490186709158886988610113,-38627726709262739118225523137 %N A013107 arctan(arcsinh(x)+atan(x))=2*x-19/3!*x^3+1041/5!*x^5-141489/7!*x^7... %R A013107 %O A013107 0,1 %K A013107 sign,done %A A013107 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013108 %S A013108 1,4,40,1030,51160,4176250,507867100,86130937750,19429666282000, %T A013108 5626346310003250,2034312191276462500,898279284686285368750, %U A013108 475692945053706430375000,297573010648301986578906250 %V A013108 1,-4,40,-1030,51160,-4176250,507867100,-86130937750,19429666282000, %W A013108 -5626346310003250,2034312191276462500,-898279284686285368750, %X A013108 475692945053706430375000,-297573010648301986578906250 %N A013108 cos(arcsinh(x)+arctan(x))=1-4/2!*x^2+40/4!*x^4-1030/6!*x^6+51160/8!*x^8... %R A013108 %O A013108 0,2 %K A013108 sign,done %A A013108 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013109 %S A013109 2,11,441,48897,10711449,3898352493,2124846180765,1619764201737297, %T A013109 1645104402411921297,2147066174256624128277, %U A013109 3501336873746919748187493,6976563529004472877778185497 %V A013109 2,-11,441,-48897,10711449,-3898352493,2124846180765, %W A013109 -1619764201737297,1645104402411921297,-2147066174256624128277, %X A013109 3501336873746919748187493,-6976563529004472877778185497 %N A013109 arcsinh(arcsinh(x)+arctan(x))=2*x-11/3!*x^3+441/5!*x^5-48897/7!*x^7... %R A013109 %O A013109 0,1 %K A013109 sign,done %A A013109 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013110 %S A013110 2,19,785,70705,11020385,2631928825,892329853025,407413940220625, %T A013110 240968321541442625,179211927264110235625,163684517256281564050625, %U A013110 180116677926822557970570625,235018935742557547408645390625 %V A013110 2,-19,785,-70705,11020385,-2631928825,892329853025,-407413940220625, %W A013110 240968321541442625,-179211927264110235625,163684517256281564050625, %X A013110 -180116677926822557970570625,235018935742557547408645390625 %N A013110 tanh(arcsinh(x)+arctan(x))=2*x-19/3!*x^3+785/5!*x^5-70705/7!*x^7... %R A013110 %O A013110 0,1 %K A013110 sign,done %A A013110 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013111 %S A013111 2,13,561,58959,11644353,3689490231,1715357184849,1099472915829519, %T A013111 929329108531548417,1001522171480774224743,1340339793936610136490513, %U A013111 2180857643900986608848041983,4239717441519601414508854360257 %N A013111 arctanh(arcsinh(x)+atan(x))=2*x+13/3!*x^3+561/5!*x^5+58959/7!*x^7... %R A013111 %O A013111 0,1 %K A013111 nonn %A A013111 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013112 %S A013112 1,4,8,70,920,28550,10642900,2554095050,685535422000,219648785612750, %T A013112 84602550046787500,38917136125065331250,21166653214210218325000, %U A013112 13470291608750677967093750,9931256371819980078190562500 %V A013112 1,4,-8,70,-920,-28550,10642900,-2554095050,685535422000, %W A013112 -219648785612750,84602550046787500,-38917136125065331250, %X A013112 21166653214210218325000,-13470291608750677967093750 %N A013112 cosh(arcsinh(x)+arctan(x))=1+4/2!*x^2-8/4!*x^4+70/6!*x^6-920/8!*x^8... %R A013112 %O A013112 0,2 %K A013112 sign,done %A A013112 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013113 %S A013113 1,4,56,1990,130280,13814650,2137954100,457685029750,128915903246000, %T A013113 46370152422675250,20689120752785127500,11232151174947132868750, %U A013113 7281395066161326989645000,5560840304175437693730906250 %N A013113 sec(arcsinh(x)+arctan(x))=1+4/2!*x^2+56/4!*x^4+1990/6!*x^6... %R A013113 %O A013113 0,2 %K A013113 nonn %A A013113 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013114 %S A013114 1,4,104,6790,827480,162019450,46518314300,18413421592150, %T A013114 9610889961530000,6395770003655763250,5285420552751908562500, %U A013114 5310341702734086669088750,6374725468204682712703775000 %V A013114 1,-4,104,-6790,827480,-162019450,46518314300,-18413421592150, %W A013114 9610889961530000,-6395770003655763250,5285420552751908562500, %X A013114 -5310341702734086669088750,6374725468204682712703775000 %N A013114 sech(arcsinh(x)+arctan(x))=1-4/2!*x^2+104/4!*x^4-6790/6!*x^6... %R A013114 %O A013114 0,2 %K A013114 sign,done %A A013114 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013115 %S A013115 1,2,4,16,88,560,4184,37952,398848,4613632,58835456,835257344, %T A013115 12993783424,217535518720,3911934210560,75654182936576, %U A013115 1562951627091968,34235182359642112,793328025614454784 %V A013115 1,-2,4,-16,88,-560,4184,-37952,398848,-4613632,58835456,-835257344, %W A013115 12993783424,-217535518720,3911934210560,-75654182936576, %X A013115 1562951627091968,-34235182359642112,793328025614454784 %N A013115 log(arcsinh(x)+cos(x))=x-2/2!*x^2+4/3!*x^3-16/4!*x^4+88/5!*x^5... %R A013115 %O A013115 0,2 %K A013115 sign,done %A A013115 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013116 %S A013116 1,2,4,8,16,42,184,744,1152,558,99744,924904,5133696,83024966, %T A013116 906195840,14896602184,171321409536,3277450732382,44275226644992, %U A013116 942900995465032,14354506519279616,338298547449554102 %V A013116 1,2,4,8,16,42,184,744,1152,-558,99744,924904,-5133696,-83024966, %W A013116 906195840,14896602184,-171321409536,-3277450732382,44275226644992, %X A013116 942900995465032,-14354506519279616,-338298547449554102 %N A013116 exp(arcsinh(x)+sinh(x))=1+2*x+4/2!*x^2+8/3!*x^3+16/4!*x^4+42/5!*x^5... %R A013116 %O A013116 0,2 %K A013116 sign,done %A A013116 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013117 %S A013117 1,2,3,2,11,38,79,954,137,33582,96741,1555666,10865661,86780822, %T A013117 1244836953,4930566346,162614558865,100938990558,24583330322637, %U A013117 71145784216286,4265463634593925,30382485085757818 %V A013117 1,2,3,2,-11,-38,79,954,137,-33582,-96741,1555666,10865661,-86780822, %W A013117 -1244836953,4930566346,162614558865,-100938990558,-24583330322637, %X A013117 -71145784216286,4265463634593925,30382485085757818 %N A013117 exp(tanh(x)+log(x+1))=1+2*x+3/2!*x^2+2/3!*x^3-11/4!*x^4-38/5!*x^5... %R A013117 %O A013117 0,2 %K A013117 sign,done %A A013117 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013118 %S A013118 2,1,8,18,42,15,3460,16492,16890,286155,12520400,99727254,271849550, %T A013118 6922105827,197946213020,2348657908440,19619328534222, %U A013118 396132741200439,9735975917400728,156971908263615450 %V A013118 2,-1,-8,18,42,15,-3460,16492,16890,286155,-12520400,99727254, %W A013118 -271849550,6922105827,-197946213020,2348657908440,-19619328534222, %X A013118 396132741200439,-9735975917400728,156971908263615450 %N A013118 sin(tanh(x)+log(x+1))=2*x-1/2!*x^2-8/3!*x^3+18/4!*x^4+42/5!*x^5... %R A013118 %O A013118 0,1 %K A013118 sign,done %A A013118 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013119 %S A013119 2,1,8,30,358,2655,41428,511980,9864538,171757845,3961279808, %T A013119 88981176570,2406642164782,65936688564747,2056690243987468, %U A013119 66255959470897560,2349481394958302898,86780043600660006633 %V A013119 2,-1,8,-30,358,-2655,41428,-511980,9864538,-171757845,3961279808, %W A013119 -88981176570,2406642164782,-65936688564747,2056690243987468, %X A013119 -66255959470897560,2349481394958302898,-86780043600660006633 %N A013119 arcsin(tanh(x)+log(x+1))=2*x-1/2!*x^2+8/3!*x^3-30/4!*x^4+358/5!*x^5... %R A013119 %O A013119 0,1 %K A013119 sign,done %A A013119 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013120 %S A013120 2,1,16,54,612,4710,57944,683144,10015344,154359720,2701047424, %T A013120 50673755088,1040194570144,22870244075952,540441764640064, %U A013120 13599312731310720,363949691199176448,10307618997050443392 %V A013120 2,-1,16,-54,612,-4710,57944,-683144,10015344,-154359720,2701047424, %W A013120 -50673755088,1040194570144,-22870244075952,540441764640064, %X A013120 -13599312731310720,363949691199176448,-10307618997050443392 %N A013120 tan(tanh(x)+log(x+1))=2*x-1/2!*x^2+16/3!*x^3-54/4!*x^4+612/5!*x^5... %R A013120 %O A013120 0,1 %K A013120 sign,done %A A013120 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013121 %S A013121 2,1,16,42,748,5130,80792,1139880,15089632,401063040,3986514112, %T A013121 203199458880,1170901443424,139120136531376,67846807312832, %U A013121 122712218206730880,762584236008814848,134219038370999681664 %V A013121 2,-1,-16,42,748,-5130,-80792,1139880,15089632,-401063040, %W A013121 -3986514112,203199458880,1170901443424,-139120136531376, %X A013121 -67846807312832,122712218206730880,-762584236008814848 %N A013121 arctan(tanh(x)+log(x+1))=2*x-1/2!*x^2-16/3!*x^3+42/4!*x^4+748/5!*x^5... %R A013121 %O A013121 0,1 %K A013121 sign,done %A A013121 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013122 %S A013122 1,0,4,6,13,20,454,1302,13213,57528,566304,1146750,83953137, %T A013122 715819260,590760166,61357519650,2337988853657,32573393982320, %U A013122 362267655859524,8238027536343882,209882071249912757 %V A013122 1,0,-4,6,13,-20,-454,1302,13213,-57528,-566304,1146750,83953137, %W A013122 -715819260,590760166,-61357519650,2337988853657,-32573393982320, %X A013122 362267655859524,-8238027536343882,209882071249912757 %N A013122 cos(tanh(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3+13/4!*x^4-20/5!*x^5... %R A013122 %O A013122 0,3 %K A013122 sign,done %A A013122 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013123 %S A013123 2,1,8,30,102,735,6036,43372,366666,3909645,43735936,509688234, %T A013123 6614683246,93752033739,1403126034316,22351107663000,380878785320338, %U A013123 6864318972384345,130206659362724728,2603770376744750070 %V A013123 2,-1,8,-30,102,-735,6036,-43372,366666,-3909645,43735936,-509688234, %W A013123 6614683246,-93752033739,1403126034316,-22351107663000, %X A013123 380878785320338,-6864318972384345,130206659362724728 %N A013123 sinh(tanh(x)+log(x+1))=2*x-1/2!*x^2+8/3!*x^3-30/4!*x^4+102/5!*x^5... %R A013123 %O A013123 0,1 %K A013123 sign,done %A A013123 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013124 %S A013124 2,1,8,18,298,1905,25412,350700,4095754,108856125,940845072, %T A013124 49635561030,233977315570,31129149144093,12883816215268, %U A013124 25437319822551000,179134252641817006,25989451309294893657 %V A013124 2,-1,-8,18,298,-1905,-25412,350700,4095754,-108856125,-940845072, %W A013124 49635561030,233977315570,-31129149144093,12883816215268, %X A013124 25437319822551000,-179134252641817006,-25989451309294893657 %N A013124 arcsinh(tanh(x)+log(x+1))=2*x-1/2!*x^2-8/3!*x^3+18/4!*x^4+298/5!*x^5... %R A013124 %O A013124 0,1 %K A013124 sign,done %A A013124 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013125 %S A013125 2,1,16,42,492,3210,30168,404264,2783952,75206520,292604288, %T A013125 19217701008,3111794272,6389076941520,29520888356032, %U A013125 2643629755167360,29037077579992832,1307061634619873664 %V A013125 2,-1,-16,42,492,-3210,-30168,404264,2783952,-75206520,-292604288, %W A013125 19217701008,3111794272,-6389076941520,29520888356032, %X A013125 2643629755167360,-29037077579992832,-1307061634619873664 %N A013125 tanh(tanh(x)+log(x+1))=2*x-1/2!*x^2-16/3!*x^3+42/4!*x^4+492/5!*x^5... %R A013125 %O A013125 0,1 %K A013125 sign,done %A A013125 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013126 %S A013126 1,0,4,6,19,140,814,5082,43509,400248,3812904,42180270,520553895, %T A013126 6701464068,92507196786,1398195467970,22513722221865,380979724310896, %U A013126 6839735642061708,130277805146941014,2608035840379343995 %V A013126 1,0,4,-6,19,-140,814,-5082,43509,-400248,3812904,-42180270, %W A013126 520553895,-6701464068,92507196786,-1398195467970,22513722221865, %X A013126 -380979724310896,6839735642061708,-130277805146941014 %N A013126 cosh(tanh(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+19/4!*x^4-140/5!*x^5... %R A013126 %O A013126 0,3 %K A013126 sign,done %A A013126 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013127 %S A013127 1,0,4,6,83,460,5374,52962,711833,9731160,156311784,2676262710, %T A013127 50867352939,1037096208564,22896291533210,539916293280210, %U A013127 13603842760270129,363832977079307248,10308592491205055532 %V A013127 1,0,4,-6,83,-460,5374,-52962,711833,-9731160,156311784,-2676262710, %W A013127 50867352939,-1037096208564,22896291533210,-539916293280210, %X A013127 13603842760270129,-363832977079307248,10308592491205055532 %N A013127 sec(tanh(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+83/4!*x^4-460/5!*x^5... %R A013127 %O A013127 0,3 %K A013127 sign,done %A A013127 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013128 %S A013128 1,0,4,6,77,340,3574,34062,278337,5275800,28795584,1159543110, %T A013128 2472700941,340042014156,704790251070,126778070956110, %U A013128 958235638366239,57637006798322672,866891599173180708 %V A013128 1,0,-4,6,77,-340,-3574,34062,278337,-5275800,-28795584,1159543110, %W A013128 2472700941,-340042014156,704790251070,126778070956110, %X A013128 -958235638366239,-57637006798322672,866891599173180708 %N A013128 sech(tanh(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3+77/4!*x^4-340/5!*x^5... %R A013128 %O A013128 0,3 %K A013128 sign,done %A A013128 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013129 %S A013129 1,2,4,5,8,71,122,863,5352,11207,239494,103541,14203028,49174077, %T A013129 1067540778,8312033249,94081990576,1398228044113,8737926966734, %U A013129 258914411211565,612930093492268,53899233359866405,75242844404703342 %V A013129 1,2,4,5,-8,-71,-122,863,5352,-11207,-239494,-103541,14203028, %W A013129 49174077,-1067540778,-8312033249,94081990576,1398228044113, %X A013129 -8737926966734,-258914411211565,612930093492268,53899233359866405 %N A013129 exp(tanh(x)+sin(x))=1+2*x+4/2!*x^2+5/3!*x^3-8/4!*x^4-71/5!*x^5... %R A013129 %O A013129 0,2 %K A013129 sign,done %A A013129 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013130 %S A013130 2,5,185,16095,2778425,787492235,333091515965,196604887454175, %T A013130 154421803574964305,155738815364225864915,196154237311733664577445, %U A013130 301759169017942105204192455,556786733540782098106300699385 %N A013130 arcsin(tanh(x)+sin(x))=2*x+5/3!*x^3+185/5!*x^5+16095/7!*x^7... %R A013130 %O A013130 0,1 %K A013130 nonn %A A013130 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013131 %S A013131 1,2,4,7,8,17,214,1761,8632,38969,381754,5371821,56522540,533244077, %T A013131 6087452310,95701880241,1458087413200,21713687902033,333863833250482, %U A013131 6101409790911765,114840891055289940,2263678163011472213 %N A013131 exp(tanh(x)+arcsin(x))=1+2*x+4/2!*x^2+7/3!*x^3+8/4!*x^4+17/5!*x^5... %R A013131 %O A013131 0,2 %K A013131 nonn %A A013131 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013132 %S A013132 2,9,97,2975,114217,8693355,641356549,99659748575,10015783072433, %T A013132 3322983000373651,246472578957172573,288961675751112506727, %U A013132 23857648902841926624247,62919075748660047473014299 %V A013132 2,-9,97,-2975,114217,-8693355,641356549,-99659748575, %W A013132 10015783072433,-3322983000373651,246472578957172573, %X A013132 -288961675751112506727,-23857648902841926624247 %N A013132 sin(tanh(x)+arcsin(x))=2*x-9/3!*x^3+97/5!*x^5-2975/7!*x^7... %R A013132 %O A013132 0,1 %K A013132 sign,done %A A013132 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013133 %S A013133 1,2,4,8,16,64,448,2816,14592,80896,705536,7278592,65245184, %T A013133 532070400,5385535488,71008190464,910402060288,10323887915008, %U A013133 124371776831488,1895043049717760,30930578556583936 %N A013133 exp(tanh(x)+tan(x))=1+2*x+4/2!*x^2+8/3!*x^3+16/4!*x^4+64/5!*x^5... %R A013133 %O A013133 0,2 %K A013133 nonn %A A013133 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013134 %S A013134 2,8,64,2816,80896,7278592,532070400,71008190464,10323887915008, %T A013134 1895043049717760,458133970106712064,113313946829854867456, %U A013134 40093022675430493126656,13211730725723035930722304 %V A013134 2,-8,64,-2816,80896,-7278592,532070400,-71008190464,10323887915008, %W A013134 -1895043049717760,458133970106712064,-113313946829854867456, %X A013134 40093022675430493126656,-13211730725723035930722304 %N A013134 sin(tanh(x)+tan(x))=2*x-8/3!*x^3+64/5!*x^5-2816/7!*x^7+80896/9!*x^9... %R A013134 %O A013134 0,1 %K A013134 sign,done %A A013134 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013135 %S A013135 2,8,320,31488,6241280,2048135168,1005768458240,690254567374848, %T A013135 630909848433459200,740848367450511638528,1086821026187766828892160, %U A013135 1947858113799053357202014208,4187952101776996175279418245120 %N A013135 arcsin(tanh(x)+tan(x))=2*x+8/3!*x^3+320/5!*x^5+31488/7!*x^7... %R A013135 %O A013135 0,1 %K A013135 nonn %A A013135 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013136 %S A013136 2,16,544,40192,5111296,994586624,274584084480,102058445570048, %T A013136 49134745327894528,29743376752794664960,22111413979264501940224, %U A013136 19803614205698007369777152,21031646806008885489451401216 %N A013136 tan(tanh(x)+tan(x))=2*x+16/3!*x^3+544/5!*x^5+40192/7!*x^7... %R A013136 %O A013136 0,1 %K A013136 nonn %A A013136 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013137 %S A013137 2,16,800,97536,22208000,8125689856,4360566579200,3226435003416576, %T A013137 3148058338141798400,3916271639106285469696, %U A013137 6050134274987713730969600,11363591103950667093393801216 %V A013137 2,-16,800,-97536,22208000,-8125689856,4360566579200, %W A013137 -3226435003416576,3148058338141798400,-3916271639106285469696, %X A013137 6050134274987713730969600,-11363591103950667093393801216 %N A013137 arctan(tanh(x)+tan(x))=2*x-16/3!*x^3+800/5!*x^5-97536/7!*x^7... %R A013137 %O A013137 0,1 %K A013137 sign,done %A A013137 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013138 %S A013138 1,4,16,448,14592,705536,65245184,5385535488,910402060288, %T A013138 124371776831488,30930578556583936,6638266678020931584, %U A013138 2186545615284171964416,694382737827711997181952 %V A013138 1,-4,16,-448,14592,-705536,65245184,-5385535488,910402060288, %W A013138 -124371776831488,30930578556583936,-6638266678020931584, %X A013138 2186545615284171964416,-694382737827711997181952 %N A013138 cos(tanh(x)+tan(x))=1-4/2!*x^2+16/4!*x^4-448/6!*x^6+14592/8!*x^8... %R A013138 %O A013138 0,2 %K A013138 sign,done %A A013138 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013139 %S A013139 1,4,80,4288,426240,67920896,15873495040,5113806962688, %T A013139 2172417489305600,1176644688113041408,791421023406538096640, %U A013139 647183647775891247857664,632330839348840678513704960 %N A013139 sec(tanh(x)+tan(x))=1+4/2!*x^2+80/4!*x^4+4288/6!*x^6+426240/8!*x^8... %R A013139 %O A013139 0,2 %K A013139 nonn %A A013139 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013140 %S A013140 1,2,4,4,16,88,64,2496,4096,106624,480896,6875136,54717440,673392640, %T A013140 7775895552,99550288896,1454255472640,21279326830592,360442602684416, %U A013140 6159283224084480,116460747215831040,2276409633583071232 %V A013140 1,2,4,4,-16,-88,64,2496,4096,-106624,-480896,6875136,54717440, %W A013140 -673392640,-7775895552,99550288896,1454255472640,-21279326830592, %X A013140 -360442602684416,6159283224084480,116460747215831040 %N A013140 exp(tanh(x)+arctan(x))=1+2*x+4/2!*x^2+4/3!*x^3-16/4!*x^4-88/5!*x^5... %R A013140 %O A013140 0,2 %K A013140 sign,done %A A013140 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013141 %S A013141 2,12,232,8960,580480,57192960,8028368896,1530617461760, %T A013141 381866595811328,120993556601405440,47505188434021777408, %U A013141 22644967739703901421568,12882783407125570011004928 %V A013141 2,-12,232,-8960,580480,-57192960,8028368896,-1530617461760, %W A013141 381866595811328,-120993556601405440,47505188434021777408, %X A013141 -22644967739703901421568,12882783407125570011004928 %N A013141 sin(tanh(x)+arctan(x))=2*x-12/3!*x^3+232/5!*x^5-8960/7!*x^7... %R A013141 %O A013141 0,1 %K A013141 sign,done %A A013141 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013142 %S A013142 2,4,168,13248,2226048,599902208,243130652672,137141067373568, %T A013142 103018549675327488,99335294756500832256,119626550900969898049536, %U A013142 175950984763936427137433600,310396731889156481163306991616 %N A013142 arcsin(tanh(x)+arctan(x))=2*x+4/3!*x^3+168/5!*x^5+13248/7!*x^7... %R A013142 %O A013142 0,1 %K A013142 nonn %A A013142 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013143 %S A013143 2,12,232,9184,628864,65666304,9724490752,1938995759104, %T A013143 500703018057728,162578867050250240,64828188125105225728, %U A013143 31143422445257665019904,17740655235950956739821568 %N A013143 tan(tanh(x)+arctan(x))=2*x+12/3!*x^3+232/5!*x^5+9184/7!*x^7... %R A013143 %O A013143 0,1 %K A013143 nonn %A A013143 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013144 %S A013144 2,20,1128,158112,41334912,17364051712,10697958401024, %T A013144 9087507664709632,10179531541621604352,14538540850131730563072, %U A013144 25785525466844174964228096,55601885971190702384095952896 %V A013144 2,-20,1128,-158112,41334912,-17364051712,10697958401024, %W A013144 -9087507664709632,10179531541621604352,-14538540850131730563072, %X A013144 25785525466844174964228096,-55601885971190702384095952896 %N A013144 arctan(tanh(x)+atan(x))=2*x-20/3!*x^3+1128/5!*x^5-158112/7!*x^7... %R A013144 %O A013144 0,1 %K A013144 sign,done %A A013144 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013145 %S A013145 1,4,48,1344,68096,5489024,649853952,106867367936,23404867387392, %T A013145 6602987646386176,2335532843551916032,1012790947054260453376, %U A013145 528471932766276016930816,326628755754313262527676416 %V A013145 1,-4,48,-1344,68096,-5489024,649853952,-106867367936, %W A013145 23404867387392,-6602987646386176,2335532843551916032, %X A013145 -1012790947054260453376,528471932766276016930816 %N A013145 cos(tanh(x)+arctan(x))=1-4/2!*x^2+48/4!*x^4-1344/6!*x^6+68096/8!*x^8... %R A013145 %O A013145 0,2 %K A013145 sign,done %A A013145 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013146 %S A013146 2,4,88,2496,106624,6875136,673392640,99550288896,21279326830592, %T A013146 6159283224084480,2276409633583071232,1031635526526543462400, %U A013146 558671488143239984709632,355396466132997594824048640 %V A013146 2,4,-88,2496,-106624,6875136,-673392640,99550288896,-21279326830592, %W A013146 6159283224084480,-2276409633583071232,1031635526526543462400, %X A013146 -558671488143239984709632,355396466132997594824048640 %N A013146 sinh(tanh(x)+arctan(x))=2*x+4/3!*x^3-88/5!*x^5+2496/7!*x^7... %R A013146 %O A013146 0,1 %K A013146 sign,done %A A013146 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013147 %S A013147 2,12,488,55552,12546944,4711567872,2650074624000,2084720933010432, %T A013147 2185097305985613824,2943182792681798926336, %U A013147 4953485656236312191369216,10186669183126638973192372224 %V A013147 2,-12,488,-55552,12546944,-4711567872,2650074624000, %W A013147 -2084720933010432,2185097305985613824,-2943182792681798926336, %X A013147 4953485656236312191369216,-10186669183126638973192372224 %N A013147 arcsinh(tanh(x)+arctan(x))=2*x-12/3!*x^3+488/5!*x^5-55552/7!*x^7... %R A013147 %O A013147 0,1 %K A013147 sign,done %A A013147 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013148 %S A013148 2,20,872,82848,13615232,3427600128,1224824628224,589372636243968, %T A013148 367372633732907008,287938978919399424000,277156456747324043952128, %U A013148 321405895510495023427223552,441961717165809097026555609088 %V A013148 2,-20,872,-82848,13615232,-3427600128,1224824628224, %W A013148 -589372636243968,367372633732907008,-287938978919399424000, %X A013148 277156456747324043952128,-321405895510495023427223552 %N A013148 tanh(tanh(x)+arctan(x))=2*x-20/3!*x^3+872/5!*x^5-82848/7!*x^7... %R A013148 %O A013148 0,1 %K A013148 sign,done %A A013148 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013149 %S A013149 1,4,16,64,4096,480896,54717440,7775895552,1454255472640, %T A013149 360442602684416,116460747215831040,47685470462142971904, %U A013149 24020257118743960748032,14514884376044102613991424 %V A013149 1,4,-16,64,4096,-480896,54717440,-7775895552,1454255472640, %W A013149 -360442602684416,116460747215831040,-47685470462142971904, %X A013149 24020257118743960748032,-14514884376044102613991424 %N A013149 cosh(tanh(x)+arctan(x))=1+4/2!*x^2-16/4!*x^4+64/6!*x^6+4096/8!*x^8... %R A013149 %O A013149 0,2 %K A013149 sign,done %A A013149 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013150 %S A013150 1,4,48,1344,71680,6134144,766639104,132845576192,30189756186624, %T A013150 8791995173601280,3164834039610834944,1391075516277863612416, %U A013150 727593505575051704926208,449845963881833812549697536 %N A013150 sec(tanh(x)+arctan(x))=1+4/2!*x^2+48/4!*x^4+1344/6!*x^6+71680/8!*x^8... %R A013150 %O A013150 0,2 %K A013150 nonn %A A013150 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013151 %S A013151 1,4,112,7744,995840,205558144,62203595776,25948859891712, %T A013151 14273513699311616,10010170584339742720,8717845696617764192256, %U A013151 9230668213290446763196416,11677592409577212192402440192 %V A013151 1,-4,112,-7744,995840,-205558144,62203595776,-25948859891712, %W A013151 14273513699311616,-10010170584339742720,8717845696617764192256, %X A013151 -9230668213290446763196416,11677592409577212192402440192 %N A013151 sech(tanh(x)+arctan(x))=1-4/2!*x^2+112/4!*x^4-7744/6!*x^6... %R A013151 %O A013151 0,2 %K A013151 sign,done %A A013151 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013152 %S A013152 1,2,3,12,65,392,2723,23072,226785,2475392,29857443,397554432, %T A013152 5785047905,91112993792,1544546456963,28059800686592,543833037679425, %U A013152 11198270349934592,244141035610073283,5618466605584023552 %V A013152 1,-2,3,-12,65,-392,2723,-23072,226785,-2475392,29857443,-397554432, %W A013152 5785047905,-91112993792,1544546456963,-28059800686592, %X A013152 543833037679425,-11198270349934592,244141035610073283 %N A013152 log(tanh(x)+cos(x))=x-2/2!*x^2+3/3!*x^3-12/4!*x^4+65/5!*x^5... %R A013152 %O A013152 0,2 %K A013152 sign,done %A A013152 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013153 %S A013153 1,2,4,7,8,9,118,865,1912,12375,53094,848621,7487532,34580971, %T A013153 722809274,1631142593,92118225104,100600927153,13286089862286, %U A013153 62231815768555,2227449108601940,20774283625070381 %V A013153 1,2,4,7,8,9,118,865,1912,-12375,-53094,848621,7487532,-34580971, %W A013153 -722809274,1631142593,92118225104,100600927153,-13286089862286, %X A013153 -62231815768555,2227449108601940,20774283625070381 %N A013153 exp(tanh(x)+sinh(x))=1+2*x+4/2!*x^2+7/3!*x^3+8/4!*x^4+9/5!*x^5... %R A013153 %O A013153 0,2 %K A013153 sign,done %A A013153 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013154 %S A013154 1,2,4,5,8,63,26,1311,4008,40503,288486,1746571,23670420,107820971, %T A013154 2395713498,11358568591,304636017840,2325027955727,49472656345230, %U A013154 758733754118995,10516377983584300,316897192245332147 %V A013154 1,2,4,5,-8,-63,-26,1311,4008,-40503,-288486,1746571,23670420, %W A013154 -107820971,-2395713498,11358568591,304636017840,-2325027955727, %X A013154 -49472656345230,758733754118995,10516377983584300 %N A013154 exp(tanh(x)+arcsinh(x))=1+2*x+4/2!*x^2+5/3!*x^3-8/4!*x^4-63/5!*x^5... %R A013154 %O A013154 0,2 %K A013154 sign,done %A A013154 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013155 %S A013155 1,2,3,6,21,90,495,3150,23625,198450,1885275,19646550,225935325, %T A013155 2809456650,37927664775,547844046750,8491582724625,139700231921250, %U A013155 2444754058621875,45123174910563750,879901910755993125 %N A013155 exp(arctanh(x)+log(x+1))=1+2*x+3/2!*x^2+6/3!*x^3+21/4!*x^4+90/5!*x^5... %R A013155 %O A013155 0,2 %K A013155 nonn %A A013155 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013156 %S A013156 2,1,4,18,110,495,3560,19180,175670,1060875,12405100,74505750, %T A013156 1145912950,5007404675,121546204000,249464553000,9910138520750, %U A013156 387578487479625,2249416271459500,229283516527763750 %V A013156 2,-1,-4,18,-110,495,-3560,19180,-175670,1060875,-12405100,74505750, %W A013156 -1145912950,5007404675,-121546204000,-249464553000,-9910138520750, %X A013156 -387578487479625,2249416271459500,-229283516527763750 %N A013156 sin(arctanh(x)+log(x+1))=2*x-1/2!*x^2-4/3!*x^3+18/4!*x^4-110/5!*x^5... %R A013156 %O A013156 0,1 %K A013156 sign,done %A A013156 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013157 %S A013157 2,1,12,30,526,3135,65912,693868,16780042,263534805,7241447268, %T A013157 153049925754,4746451931334,126285481689003,4393248761465712, %U A013157 140634651688634520,5453436399167044242,203461284207097440873 %V A013157 2,-1,12,-30,526,-3135,65912,-693868,16780042,-263534805,7241447268, %W A013157 -153049925754,4746451931334,-126285481689003,4393248761465712, %X A013157 -140634651688634520,5453436399167044242,-203461284207097440873 %N A013157 arcsin(arctanh(x)+log(x+1))=2*x-1/2!*x^2+12/3!*x^3-30/4!*x^4+526/5!*x^5... %R A013157 %O A013157 0,1 %K A013157 sign,done %A A013157 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013158 %S A013158 2,1,20,54,940,5670,101440,1011080,19618000,276748200,5948856800, %T A013158 108391285200,2598850748000,57723908897200,1543071734672000, %U A013158 40212272774544000,1193617208821024000,35548237836418320000 %V A013158 2,-1,20,-54,940,-5670,101440,-1011080,19618000,-276748200, %W A013158 5948856800,-108391285200,2598850748000,-57723908897200, %X A013158 1543071734672000,-40212272774544000,1193617208821024000 %N A013158 tan(arctanh(x)+log(x+1))=2*x-1/2!*x^2+20/3!*x^3-54/4!*x^4+940/5!*x^5... %R A013158 %O A013158 0,1 %K A013158 sign,done %A A013158 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013159 %S A013159 2,1,12,42,436,4170,32704,751016,3283072,209162880,86913024, %T A013159 81648502848,575015877024,41409311392176,689874309603456, %U A013159 25412078270229120,812967446932685568,17148064731893670528 %V A013159 2,-1,-12,42,436,-4170,-32704,751016,3283072,-209162880,86913024, %W A013159 81648502848,-575015877024,-41409311392176,689874309603456, %X A013159 25412078270229120,-812967446932685568,-17148064731893670528 %N A013159 arctan(atanh(x)+log(x+1))=2*x-1/2!*x^2-12/3!*x^3+42/4!*x^4+436/5!*x^5... %R A013159 %O A013159 0,1 %K A013159 sign,done %A A013159 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013160 %S A013160 1,0,4,6,19,20,70,1050,7645,125640,1074400,15186050,154663825, %T A013160 2302431300,27387957350,445100087250,6069674521625,108269831098000, %U A013160 1666530849522500,32533793834402250,558090726731663125 %V A013160 1,0,-4,6,-19,20,-70,-1050,7645,-125640,1074400,-15186050,154663825, %W A013160 -2302431300,27387957350,-445100087250,6069674521625, %X A013160 -108269831098000,1666530849522500,-32533793834402250 %N A013160 cos(arctanh(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3-19/4!*x^4+20/5!*x^5... %R A013160 %O A013160 0,3 %K A013160 sign,done %A A013160 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013161 %S A013161 2,1,12,30,270,1215,12600,81900,992250,8434125,117879300,1237732650, %T A013161 19666196550,245827456875,4382752374000,63549909423000, %U A013161 1257302087291250,20745484440305625,451231749105637500 %V A013161 2,-1,12,-30,270,-1215,12600,-81900,992250,-8434125,117879300, %W A013161 -1237732650,19666196550,-245827456875,4382752374000,-63549909423000, %X A013161 1257302087291250,-20745484440305625,451231749105637500 %N A013161 sinh(arctanh(x)+log(x+1))=2*x-1/2!*x^2+12/3!*x^3-30/4!*x^4+270/5!*x^5... %R A013161 %O A013161 0,1 %K A013161 sign,done %A A013161 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013162 %S A013162 2,1,4,18,146,1425,7592,210028,559322,50827005,106120692,17584275654, %T A013162 154934766198,8006009893245,152561646167328,4407064919207640, %U A013162 159846661630850958,2597264235213998553,189859523741466671340 %V A013162 2,-1,-4,18,146,-1425,-7592,210028,559322,-50827005,106120692, %W A013162 17584275654,-154934766198,-8006009893245,152561646167328, %X A013162 4407064919207640,-159846661630850958,-2597264235213998553 %N A013162 arcsinh(arctanh(x)+log(x+1))=2*x-1/2!*x^2-4/3!*x^3+18/4!*x^4+146/5!*x^5... %R A013162 %O A013162 0,1 %K A013162 sign,done %A A013162 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013163 %S A013163 2,1,20,54,1196,7590,183424,2024456,53868512,879522480,25940060736, %T A013163 567297596448,18589297654560,510176264397072,18555679255219584, %U A013163 611191404598032000,24595483932280127232,942155286482035075968 %V A013163 2,-1,20,-54,1196,-7590,183424,-2024456,53868512,-879522480, %W A013163 25940060736,-567297596448,18589297654560,-510176264397072, %X A013163 18555679255219584,-611191404598032000,24595483932280127232 %N A013163 arctanh(atanh(x)+log(x+1))=2*x-1/2!*x^2+20/3!*x^3-54/4!*x^4... %R A013163 %O A013163 0,1 %K A013163 sign,done %A A013163 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013164 %S A013164 1,0,4,6,51,180,1710,9450,105525,793800,10319400,98232750,1463667975, %T A013164 16856739900,283755121650,3834908327250,72041492147625, %U A013164 1117601855370000,23190238498927500,406108574195073750 %V A013164 1,0,4,-6,51,-180,1710,-9450,105525,-793800,10319400,-98232750, %W A013164 1463667975,-16856739900,283755121650,-3834908327250,72041492147625, %X A013164 -1117601855370000,23190238498927500,-406108574195073750 %N A013164 cosh(arctanh(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+51/4!*x^4-180/5!*x^5... %R A013164 %O A013164 0,3 %K A013164 sign,done %A A013164 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013165 %S A013165 1,0,4,6,115,500,8830,70770,1316825,15886440,324218600,5249917750, %T A013165 119185529675,2412502361100,61104527105050,1476059511449250, %U A013165 41607421213320625,1162370434739930000,36281975132301203500 %V A013165 1,0,4,-6,115,-500,8830,-70770,1316825,-15886440,324218600, %W A013165 -5249917750,119185529675,-2412502361100,61104527105050, %X A013165 -1476059511449250,41607421213320625,-1162370434739930000 %N A013165 sec(arctanh(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+115/4!*x^4-500/5!*x^5... %R A013165 %O A013165 0,3 %K A013165 sign,done %A A013165 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013166 %S A013166 1,0,4,6,45,300,630,18270,44415,1428840,13608000,106964550, %T A013166 3044747475,2748645900,674525001150,6848689097250,138141621993375, %U A013166 3761985048822000,12387014410270500,1765001060909336250 %V A013166 1,0,-4,6,45,-300,-630,18270,-44415,-1428840,13608000,106964550, %W A013166 -3044747475,2748645900,674525001150,-6848689097250,-138141621993375, %X A013166 3761985048822000,12387014410270500,-1765001060909336250 %N A013166 sech(arctanh(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3+45/4!*x^4-300/5!*x^5... %R A013166 %O A013166 0,3 %K A013166 sign,done %A A013166 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013167 %S A013167 2,3,13,74,573,5414,61787,817144,12374569,210429994,3978169039, %T A013167 82685370668,1875127830925,46061020851390,1218540977107971, %U A013167 34537657596434704,1044190509028339409,33542143648555416402 %V A013167 2,-3,13,-74,573,-5414,61787,-817144,12374569,-210429994,3978169039, %W A013167 -82685370668,1875127830925,-46061020851390,1218540977107971, %X A013167 -34537657596434704,1044190509028339409,-33542143648555416402 %N A013167 log(arctanh(x)+exp(x))=2*x-3/2!*x^2+13/3!*x^3-74/4!*x^4+573/5!*x^5... %R A013167 %O A013167 0,1 %K A013167 sign,done %A A013167 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013168 %S A013168 1,2,4,9,24,97,534,3647,27272,232345,2170874,22882827,260563908, %T A013168 3272680621,43811275382,637916495327,9816624434928,162606798592913, %U A013168 2827858695802930,52505736635681875,1018209224687676028 %N A013168 exp(arctanh(x)+sin(x))=1+2*x+4/2!*x^2+9/3!*x^3+24/4!*x^4+97/5!*x^5... %R A013168 %O A013168 0,2 %K A013168 nonn %A A013168 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013169 %S A013169 2,9,353,36799,7537817,2561794059,1303341700269,927157598991519, %T A013169 878628923948350097,1069855675293079408723,1627609755057103980327221, %U A013169 3025319595854386788906432711,6746132863265524117134837248601 %N A013169 arcsin(arctanh(x)+sin(x))=2*x+9/3!*x^3+353/5!*x^5+36799/7!*x^7... %R A013169 %O A013169 0,1 %K A013169 nonn %A A013169 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013170 %S A013170 1,2,4,11,40,185,1030,6785,51160,438425,4176250,44098925,507867100, %T A013170 6375156125,86130937750,1253044612625,19429666282000,321457635604625, %U A013170 5626346310003250,104323833636303125,2034312191276462500 %N A013170 exp(arctanh(x)+arcsin(x))=1+2*x+4/2!*x^2+11/3!*x^3+40/4!*x^4+185/5!*x^5... %R A013170 %O A013170 0,2 %K A013170 nonn %A A013170 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013171 %S A013171 2,5,55,1535,80695,6860075,859242475,148907237375,34123911391375, %T A013171 9992873727945875,3640782796679981875,1615246696514236394375, %U A013171 857352190238672679484375,536476513895859593228046875 %V A013171 2,-5,-55,-1535,-80695,-6860075,-859242475,-148907237375, %W A013171 -34123911391375,-9992873727945875,-3640782796679981875, %X A013171 -1615246696514236394375,-857352190238672679484375 %N A013171 sin(arctanh(x)+arcsin(x))=2*x-5/3!*x^3-55/5!*x^5-1535/7!*x^7... %R A013171 %O A013171 0,1 %K A013171 sign,done %A A013171 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013172 %S A013172 1,2,4,12,48,232,1344,8960,68096,580480,5489024,57192960,649853952, %T A013172 8028368896,106867367936,1530617461760,23404867387392, %U A013172 381866595811328,6602987646386176,120993556601405440 %N A013172 exp(arctanh(x)+tan(x))=1+2*x+4/2!*x^2+12/3!*x^3+48/4!*x^4+232/5!*x^5... %R A013172 %O A013172 0,2 %K A013172 nonn %A A013172 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013173 %S A013173 2,12,488,48608,9080960,2722798848,1197871592448,726520846829568, %T A013173 581088281306562560,592572418222512668672,750419972539476482195456, %U A013173 1155381150026866713259671552,2125413346746653166067846742016 %V A013173 2,-12,488,-48608,9080960,-2722798848,1197871592448,-726520846829568, %W A013173 581088281306562560,-592572418222512668672,750419972539476482195456, %X A013173 -1155381150026866713259671552,2125413346746653166067846742016 %N A013173 arctan(atanh(x)+tan(x))=2*x-12/3!*x^3+488/5!*x^5-48608/7!*x^7... %R A013173 %O A013173 0,1 %K A013173 sign,done %A A013173 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013174 %S A013174 1,2,4,8,16,80,640,4160,21760,177920,2291200,25548800,223436800, %T A013174 2560563200,44438118400,702660608000,8725110784000,129295622144000, %U A013174 2796896567296000,57197188186112000,926039081943040000 %N A013174 exp(arctanh(x)+atan(x))=1+2*x+4/2!*x^2+8/3!*x^3+16/4!*x^4+80/5!*x^5... %R A013174 %O A013174 0,2 %K A013174 nonn %A A013174 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013175 %S A013175 2,8,80,4160,177920,25548800,2560563200,702660608000,129295622144000, %T A013175 57197188186112000,16886573106790400000,10912577096233779200000, %U A013175 4743735379760119808000000,4198854964589515243520000000 %V A013175 2,-8,80,-4160,177920,-25548800,2560563200,-702660608000, %W A013175 129295622144000,-57197188186112000,16886573106790400000, %X A013175 -10912577096233779200000,4743735379760119808000000 %N A013175 sin(arctanh(x)+atan(x))=2*x-8/3!*x^3+80/5!*x^5-4160/7!*x^7... %R A013175 %O A013175 0,1 %K A013175 sign,done %A A013175 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013176 %S A013176 2,8,336,32832,6596352,2172377088,1074790176768,742942875451392, %T A013176 684332863424888832,809904627202731540480,1197620189653593343131648, %U A013176 2163726873433446527375769600,4689766098958031240193965555712 %N A013176 arcsin(arctanh(x)+atan(x))=2*x+8/3!*x^3+336/5!*x^5+32832/7!*x^7... %R A013176 %O A013176 0,1 %K A013176 nonn %A A013176 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013177 %S A013177 2,16,560,42880,5692160,1158860800,335091660800,130514735104000, %T A013177 65860132462592000,41792278392537088000,32569972497977507840000, %U A013177 30580999289444580720640000,34048056335378925092864000000 %N A013177 tan(arctanh(x)+atan(x))=2*x+16/3!*x^3+560/5!*x^5+42880/7!*x^7... %R A013177 %O A013177 0,1 %K A013177 nonn %A A013177 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013178 %S A013178 2,16,816,100224,23046912,8501907456,4600667731968,3432263151550464, %T A013178 3376634004034486272,4235408050319799091200, %U A013178 6597340706535893925101568,12493980287273651231218728960 %V A013178 2,-16,816,-100224,23046912,-8501907456,4600667731968, %W A013178 -3432263151550464,3376634004034486272,-4235408050319799091200, %X A013178 6597340706535893925101568,-12493980287273651231218728960 %N A013178 arctan(atanh(x)+atan(x))=2*x-16/3!*x^3+816/5!*x^5-100224/7!*x^7... %R A013178 %O A013178 0,1 %K A013178 sign,done %A A013178 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013179 %S A013179 1,4,16,640,21760,2291200,223436800,44438118400,8725110784000, %T A013179 2796896567296000,926039081943040000,435519369139978240000, %U A013179 218626979887002419200000,141711151230417633280000000 %V A013179 1,-4,16,-640,21760,-2291200,223436800,-44438118400,8725110784000, %W A013179 -2796896567296000,926039081943040000,-435519369139978240000, %X A013179 218626979887002419200000,-141711151230417633280000000 %N A013179 cos(arctanh(x)+atan(x))=1-4/2!*x^2+16/4!*x^4-640/6!*x^6+21760/8!*x^8... %R A013179 %O A013179 0,2 %K A013179 sign,done %A A013179 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013180 %S A013180 1,4,80,4480,462080,77248000,18902835200,6385348403200, %T A013180 2843287396352000,1614575957622784000,1138477316012441600000, %U A013180 976037590707833405440000,999765439694232249958400000 %N A013180 sec(arctanh(x)+atan(x))=1+4/2!*x^2+80/4!*x^4+4480/6!*x^6... %R A013180 %O A013180 0,2 %K A013180 nonn %A A013180 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013181 %S A013181 1,2,7,28,193,1400,13319,139424,1721281,23379712,357281351, %T A013181 5951323904,108706678273,2142923081728,45591739883975, %U A013181 1037606714249216,25211971076762753,650452080060399616 %V A013181 1,-2,7,-28,193,-1400,13319,-139424,1721281,-23379712,357281351, %W A013181 -5951323904,108706678273,-2142923081728,45591739883975, %X A013181 -1037606714249216,25211971076762753,-650452080060399616 %N A013181 log(arctanh(x)+cos(x))=x-2/2!*x^2+7/3!*x^3-28/4!*x^4+193/5!*x^5... %R A013181 %O A013181 0,2 %K A013181 sign,done %A A013181 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013182 %S A013182 1,2,4,11,40,177,934,5889,42648,354825,3295194,34194349,387494364, %T A013182 4812801541,64310993478,929134537249,14291172086544,235303563551473, %U A013182 4092687247885554,75620298761841685,1467156197049970084 %N A013182 exp(arctanh(x)+sinh(x))=1+2*x+4/2!*x^2+11/3!*x^3+40/4!*x^4+177/5!*x^5... %R A013182 %O A013182 0,2 %K A013182 nonn %A A013182 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013183 %S A013183 1,2,4,9,24,105,630,4095,27720,235305,2353050,24792075,267567300, %T A013183 3350672325,46909412550,682570263375,10103827734000,167108397080625, %U A013183 3007951147451250,55823919598321875,1049953727680357500 %N A013183 exp(arctanh(x)+arcsinh(x))=1+2*x+4/2!*x^2+9/3!*x^3+24/4!*x^4+105/5!*x^5... %R A013183 %O A013183 0,2 %K A013183 nonn %A A013183 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013184 %S A013184 1,2,4,8,16,72,544,3936,25344,193920,1920384,21876736,246359040, %T A013184 2967878656,39508168704,589063146496,9120978370560,149737853943808, %U A013184 2587275558617088,48291040167362560,939278027083448320 %N A013184 exp(arctanh(x)+tanh(x))=1+2*x+4/2!*x^2+8/3!*x^3+16/4!*x^4+72/5!*x^5... %R A013184 %O A013184 0,2 %K A013184 nonn %A A013184 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013185 %S A013185 1,1,4,19,113,813,6921,68290,766909,9660965,134950693,2070706988, %T A013185 34628733267,626946816195,12218295424331,255043813997776, %U A013185 5677409949583369,134259854938074137,3361378755164561417 %V A013185 1,-1,4,-19,113,-813,6921,-68290,766909,-9660965,134950693, %W A013185 -2070706988,34628733267,-626946816195,12218295424331, %X A013185 -255043813997776,5677409949583369,-134259854938074137 %N A013185 log(cosh(x)+log(x+1))=x-1/2!*x^2+4/3!*x^3-19/4!*x^4+113/5!*x^5... %R A013185 %O A013185 0,3 %K A013185 sign,done %A A013185 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013186 %S A013186 1,0,0,0,8,48,392,2240,20096,147200,1754368,16873472,241340032, %T A013186 2769127424,44833033216,593918959616,10840711614464,164204798541824, %U A013186 3348758074142720,57147730941444096,1285112610745352192 %V A013186 1,0,0,0,8,-48,392,-2240,20096,-147200,1754368,-16873472,241340032, %W A013186 -2769127424,44833033216,-593918959616,10840711614464, %X A013186 -164204798541824,3348758074142720,-57147730941444096 %N A013186 log(cosh(x)+arcsin(x))=x+8/5!*x^5-48/6!*x^6+392/7!*x^7-2240/8!*x^8... %R A013186 %O A013186 0,5 %K A013186 sign,done %A A013186 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013187 %S A013187 1,0,1,4,25,120,761,5024,42065,378240,3898321,42905344,521329705, %T A013187 6794511360,96017526281,1448243646464,23356125062945,399450070548480, %U A013187 7240133620964641,138422733355024384,2786977252450841785 %V A013187 1,0,1,-4,25,-120,761,-5024,42065,-378240,3898321,-42905344, %W A013187 521329705,-6794511360,96017526281,-1448243646464,23356125062945, %X A013187 -399450070548480,7240133620964641,-138422733355024384 %N A013187 log(cosh(x)+tan(x))=x+1/3!*x^3-4/4!*x^4+25/5!*x^5-120/6!*x^6... %R A013187 %O A013187 0,4 %K A013187 sign,done %A A013187 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013188 %S A013188 1,0,3,12,7,168,917,1568,7183,198400,3803987,27605248,316369129, %T A013188 8352339968,40892465221,772060278784,12655402122271,84749115129856, %U A013188 1539257113273507,2576755050676224,1652188971379360217 %V A013188 1,0,-3,12,-7,-168,917,-1568,-7183,198400,-3803987,27605248, %W A013188 316369129,-8352339968,40892465221,772060278784,-12655402122271, %X A013188 84749115129856,-1539257113273507,2576755050676224 %N A013188 log(cosh(x)+arctan(x))=x-3/3!*x^3+12/4!*x^4-7/5!*x^5-168/6!*x^6... %R A013188 %O A013188 0,3 %K A013188 sign,done %A A013188 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013190 %S A013190 1,0,2,8,12,48,432,2112,10000,14080,1500512,17517568,18269760, %T A013190 1666201600,16350361856,45064462336,922523568384,4131436888064, %U A013190 990634832194048,21402743134224384,92553699220882432 %V A013190 1,0,-2,8,-12,-48,432,-2112,10000,14080,-1500512,17517568,-18269760, %W A013190 -1666201600,16350361856,-45064462336,922523568384,-4131436888064, %X A013190 -990634832194048,21402743134224384,92553699220882432 %N A013190 log(cosh(x)+arcsinh(x))=x-2/3!*x^3+8/4!*x^4-12/5!*x^5-48/6!*x^6... %R A013190 %O A013190 0,3 %K A013190 sign,done %A A013190 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013191 %S A013191 1,0,3,12,15,120,1197,6048,255,428160,5448003,29812992,241437105, %T A013191 8332047360,104019879597,293043130368,17849464279935,456591699640320, %U A013191 5108933510880003,26996975653552128,2525823613297136625 %V A013191 1,0,-3,12,-15,-120,1197,-6048,-255,428160,-5448003,29812992, %W A013191 241437105,-8332047360,104019879597,-293043130368,-17849464279935, %X A013191 456591699640320,-5108933510880003,-26996975653552128 %N A013191 log(cosh(x)+tanh(x))=x-3/3!*x^3+12/4!*x^4-15/5!*x^5-120/6!*x^6... %R A013191 %O A013191 0,3 %K A013191 sign,done %A A013191 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013192 %S A013192 1,0,1,4,33,168,1377,9504,99649,930560,11796673,137207552,2017677153, %T A013192 28086102016,471591223841,7659623550976,144742585812609, %U A013192 2686461109796864,56447611418620289,1178274257828315136 %V A013192 1,0,1,-4,33,-168,1377,-9504,99649,-930560,11796673,-137207552, %W A013192 2017677153,-28086102016,471591223841,-7659623550976, %X A013192 144742585812609,-2686461109796864,56447611418620289 %N A013192 log(cosh(x)+arctanh(x))=x+1/3!*x^3-4/4!*x^4+33/5!*x^5-168/6!*x^6... %R A013192 %O A013192 0,4 %K A013192 sign,done %A A013192 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013193 %S A013193 1,1,4,15,93,633,5381,51506,565957,6922205,93992413,1398890284, %T A013193 22689478823,398141898399,7519118564551,152056970221072, %U A013193 3278894568674073,75103176871966409,1821102601528126265 %V A013193 1,-1,4,-15,93,-633,5381,-51506,565957,-6922205,93992413,-1398890284, %W A013193 22689478823,-398141898399,7519118564551,-152056970221072, %X A013193 3278894568674073,-75103176871966409,1821102601528126265 %N A013193 log(sec(x)+log(x+1))=x-1/2!*x^2+4/3!*x^3-15/4!*x^4+93/5!*x^5... %R A013193 %O A013193 0,3 %K A013193 sign,done %A A013193 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013194 %S A013194 1,0,2,12,40,120,208,6048,64640,428160,986368,29812992,652487680, %T A013194 8332047360,60911593472,293043130368,20973645824000,456591699640320, %U A013194 6185783347314688,26996975653552128,1429441147870904320 %V A013194 1,0,-2,12,-40,120,208,-6048,64640,-428160,986368,29812992, %W A013194 -652487680,8332047360,-60911593472,-293043130368,20973645824000, %X A013194 -456591699640320,6185783347314688,-26996975653552128 %N A013194 log(sec(x)+sin(x))=x-2/3!*x^3+12/4!*x^4-40/5!*x^5+120/6!*x^6... %R A013194 %O A013194 0,3 %K A013194 sign,done %A A013194 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013195 %S A013195 1,0,0,4,12,72,168,544,8144,91520,1384768,11984128,149032128, %T A013195 1158162432,16299168896,125837340672,2859883876608,32260942757888, %U A013195 1008997773326336,15535095938220032,466978134769624064 %V A013195 1,0,0,4,-12,72,-168,544,8144,-91520,1384768,-11984128,149032128, %W A013195 -1158162432,16299168896,-125837340672,2859883876608,-32260942757888, %X A013195 1008997773326336,-15535095938220032,466978134769624064 %N A013195 log(sec(x)+arcsin(x))=x+4/4!*x^4-12/5!*x^5+72/6!*x^6-168/7!*x^7... %R A013195 %O A013195 0,4 %K A013195 sign,done %A A013195 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013196 %S A013196 1,0,3,16,27,48,777,5504,48905,149120,4320107,76593152,424303635, %T A013196 2866784256,77237001761,1179358298112,20512289602833,131744654655488, %U A013196 6321209675239123,194063863443816448,1704909797900721931 %V A013196 1,0,-3,16,-27,-48,777,-5504,48905,-149120,-4320107,76593152, %W A013196 -424303635,-2866784256,77237001761,-1179358298112,20512289602833, %X A013196 -131744654655488,-6321209675239123,194063863443816448 %N A013196 log(sec(x)+arctan(x))=x-3/3!*x^3+16/4!*x^4-27/5!*x^5-48/6!*x^6... %R A013196 %O A013196 0,3 %K A013196 sign,done %A A013196 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013197 %S A013197 1,0,0,4,20,120,560,2784,7920,24960,1034880,14625536,172569280, %T A013197 1661936640,12339608320,13269651456,1902800305920,53452617646080, %U A013197 1037015219466240,16547577836929024,208832669083243520 %V A013197 1,0,0,4,-20,120,-560,2784,-7920,-24960,1034880,-14625536,172569280, %W A013197 -1661936640,12339608320,-13269651456,-1902800305920,53452617646080, %X A013197 -1037015219466240,16547577836929024,-208832669083243520 %N A013197 log(sec(x)+sinh(x))=x+4/4!*x^4-20/5!*x^5+120/6!*x^6-560/7!*x^7... %R A013197 %O A013197 0,4 %K A013197 sign,done %A A013197 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013198 %S A013198 1,0,2,12,32,72,152,3808,48448,333440,289408,26461952,393649024, %T A013198 4126861312,34249082624,93963415552,12871254335488,272828216803328, %U A013198 2591959365570560,6130847346393088,694262452828553216 %V A013198 1,0,-2,12,-32,72,152,-3808,48448,-333440,289408,26461952,-393649024, %W A013198 4126861312,-34249082624,-93963415552,12871254335488, %X A013198 -272828216803328,2591959365570560,6130847346393088 %N A013198 log(sec(x)+arcsinh(x))=x-2/3!*x^3+12/4!*x^4-32/5!*x^5+72/6!*x^6... %R A013198 %O A013198 0,3 %K A013198 sign,done %A A013198 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013199 %S A013199 1,0,3,16,35,0,1057,9984,59865,0,5446683,85897216,726781835,0, %T A013199 133713611977,2848077840384,32440474082865,0,10034804733270963, %U A013199 271157029126537216,3854719922524818035,0,1800259494456990656497,0 %V A013199 1,0,-3,16,-35,0,1057,-9984,59865,0,-5446683,85897216,-726781835,0, %W A013199 133713611977,-2848077840384,32440474082865,0,-10034804733270963, %X A013199 271157029126537216,-3854719922524818035,0,1800259494456990656497,0 %N A013199 log(sec(x)+tanh(x))=x-3/3!*x^3+16/4!*x^4-35/5!*x^5+1057/7!*x^7... %R A013199 %O A013199 0,3 %K A013199 sign,done %A A013199 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013200 %S A013200 1,0,1,0,13,48,677,4480,54937,471680,6248713,65916928,988579109, %T A013200 12514310144,212756765101,3159842455552,60179200959793, %U A013200 1026648500830208,21632158018229009,416691460525064192 %V A013200 1,0,1,0,13,-48,677,-4480,54937,-471680,6248713,-65916928,988579109, %W A013200 -12514310144,212756765101,-3159842455552,60179200959793, %X A013200 -1026648500830208,21632158018229009,-416691460525064192 %N A013200 log(sec(x)+arctanh(x))=x+1/3!*x^3+13/5!*x^5-48/6!*x^6+677/7!*x^7... %R A013200 %O A013200 0,5 %K A013200 sign,done %A A013200 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013201 %S A013201 1,3,10,51,373,3305,34543,421722,5884933,92262997,1606210571, %T A013201 30753868288,642299748231,14531175088131,354020726656465, %U A013201 9240811268934752,257285058656341145,7611050202054313081 %V A013201 1,-3,10,-51,373,-3305,34543,-421722,5884933,-92262997,1606210571, %W A013201 -30753868288,642299748231,-14531175088131,354020726656465, %X A013201 -9240811268934752,257285058656341145,-7611050202054313081 %N A013201 log(sech(x)+log(x+1))=x-3/2!*x^2+10/3!*x^3-51/4!*x^4+373/5!*x^5... %R A013201 %O A013201 0,2 %K A013201 sign,done %A A013201 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013202 %S A013202 1,2,4,12,60,392,2784,23072,225680,2475392,29884864,397554432, %T A013202 5784292800,91112993792,1544557830144,28059800686592,543835022577920, %U A013202 11198270349934592,244140571254682624,5618466605584023552 %V A013202 1,-2,4,-12,60,-392,2784,-23072,225680,-2475392,29884864,-397554432, %W A013202 5784292800,-91112993792,1544557830144,-28059800686592, %X A013202 543835022577920,-11198270349934592,244140571254682624 %N A013202 log(sech(x)+sin(x))=x-2/2!*x^2+4/3!*x^3-12/4!*x^4+60/5!*x^5... %R A013202 %O A013202 0,2 %K A013202 sign,done %A A013202 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013203 %S A013203 1,2,6,20,128,920,7784,75616,863168,10897792,153777536,2374754560, %T A013203 40156766336,733521418240,14452100967680,304697481490432, %U A013203 6857570007949312,163883915313774592,4148412279035834368 %V A013203 1,-2,6,-20,128,-920,7784,-75616,863168,-10897792,153777536, %W A013203 -2374754560,40156766336,-733521418240,14452100967680, %X A013203 -304697481490432,6857570007949312,-163883915313774592 %N A013203 log(sech(x)+arcsin(x))=x-2/2!*x^2+6/3!*x^3-20/4!*x^4+128/5!*x^5... %R A013203 %O A013203 0,2 %K A013203 sign,done %A A013203 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013204 %S A013204 1,2,7,24,165,1232,10827,111104,1316585,17449472,257028847, %T A013204 4164086784,73616009805,1409671718912,29070305745267,642304219480064, %U A013204 15137914082015825,379068532960919552,10050622525103392087 %V A013204 1,-2,7,-24,165,-1232,10827,-111104,1316585,-17449472,257028847, %W A013204 -4164086784,73616009805,-1409671718912,29070305745267, %X A013204 -642304219480064,15137914082015825,-379068532960919552 %N A013204 log(sech(x)+tan(x))=x-2/2!*x^2+7/3!*x^3-24/4!*x^4+165/5!*x^5... %R A013204 %O A013204 0,2 %K A013204 sign,done %A A013204 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013205 %S A013205 1,2,3,8,53,320,1799,14464,154985,1601152,16589771,211517440, %T A013205 3172731677,47440986112,721614303695,12501759557632,241340829836497, %U A013205 4730336839303168,94965599172723859,2080785787140243456 %V A013205 1,-2,3,-8,53,-320,1799,-14464,154985,-1601152,16589771,-211517440, %W A013205 3172731677,-47440986112,721614303695,-12501759557632, %X A013205 241340829836497,-4730336839303168,94965599172723859 %N A013205 log(sech(x)+arctan(x))=x-2/2!*x^2+3/3!*x^3-8/4!*x^4+53/5!*x^5... %R A013205 %O A013205 0,2 %K A013205 sign,done %A A013205 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013206 %S A013206 1,2,6,20,120,872,7056,68000,758400,9460352,130918656,1995073280, %T A013206 33173038080,597457144832,11587651270656,240799724687360, %U A013206 5337660866396160,125711013390221312,3134856182239789056 %V A013206 1,-2,6,-20,120,-872,7056,-68000,758400,-9460352,130918656, %W A013206 -1995073280,33173038080,-597457144832,11587651270656, %X A013206 -240799724687360,5337660866396160,-125711013390221312 %N A013206 log(sech(x)+sinh(x))=x-2/2!*x^2+6/3!*x^3-20/4!*x^4+120/5!*x^5... %R A013206 %O A013206 0,2 %K A013206 sign,done %A A013206 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013207 %S A013207 1,2,4,12,68,440,3064,26208,265936,2945152,35730176,485182720, %T A013207 7235106240,115677206528,1984468240000,36707903762432, %U A013207 725871298851072,15190637885095936,336136505074527232 %V A013207 1,-2,4,-12,68,-440,3064,-26208,265936,-2945152,35730176,-485182720, %W A013207 7235106240,-115677206528,1984468240000,-36707903762432, %X A013207 725871298851072,-15190637885095936,336136505074527232 %N A013207 log(sech(x)+arcsinh(x))=x-2/2!*x^2+4/3!*x^3-12/4!*x^4+68/5!*x^5... %R A013207 %O A013207 0,2 %K A013207 sign,done %A A013207 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013208 %S A013208 1,2,3,8,45,272,1743,13568,125625,1290752,14554683,181296128, %T A013208 2473184805,36501112832,579439207623,9859508338688,179018972217585, %U A013208 3453141256896512,70518070842040563,1520147333209653248 %V A013208 1,-2,3,-8,45,-272,1743,-13568,125625,-1290752,14554683,-181296128, %W A013208 2473184805,-36501112832,579439207623,-9859508338688, %X A013208 179018972217585,-3453141256896512,70518070842040563 %N A013208 log(sech(x)+tanh(x))=x-2/2!*x^2+3/3!*x^3-8/4!*x^4+45/5!*x^5... %R A013208 %O A013208 0,2 %K A013208 sign,done %A A013208 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013209 %S A013209 1,2,7,24,173,1280,11779,120960,1474969,19695232,296068991, %T A013209 4847011840,87094091589,1687646744576,35308668668155,789939274514432, %U A013209 18872654969343537,478658276989173760,12860552599622997751 %V A013209 1,-2,7,-24,173,-1280,11779,-120960,1474969,-19695232,296068991, %W A013209 -4847011840,87094091589,-1687646744576,35308668668155, %X A013209 -789939274514432,18872654969343537,-478658276989173760 %N A013209 log(sech(x)+arctanh(x))=x-2/2!*x^2+7/3!*x^3-24/4!*x^4+173/5!*x^5... %R A013209 %O A013209 0,2 %K A013209 sign,done %A A013209 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013210 %S A013210 1,3,6,23,105,406,1260,1385,55755,1232594,20220354,312914383, %T A013210 4892322435,78950848976,1325556752520,23243942565943,426334224758967, %U A013210 8180116120702106,164087156833319710,3437833525919834035 %V A013210 -1,3,-6,23,-105,406,-1260,1385,55755,-1232594,20220354,-312914383, %W A013210 4892322435,-78950848976,1325556752520,-23243942565943, %X A013210 426334224758967,-8180116120702106,164087156833319710 %N A013210 sin(log(x+1)-sin(x))=-1/2!*x^2+3/3!*x^3-6/4!*x^4+23/5!*x^5... %R A013210 %O A013210 0,2 %K A013210 sign,done %A A013210 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013211 %S A013211 1,3,6,23,135,1036,8820,79253,790965,9009946,115646454,1626322631, %T A013211 24603654075,399276204328,6962632196520,130208290075961, %U A013211 2596473574347177,54889573679035678,1225608694146576730 %V A013211 -1,3,-6,23,-135,1036,-8820,79253,-790965,9009946,-115646454, %W A013211 1626322631,-24603654075,399276204328,-6962632196520, %X A013211 130208290075961,-2596473574347177,54889573679035678 %N A013211 arcsin(log(x+1)-sin(x))=-1/2!*x^2+3/3!*x^3-6/4!*x^4+23/5!*x^5... %R A013211 %O A013211 0,2 %K A013211 sign,done %A A013211 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013212 %S A013212 1,3,6,23,150,1351,12600,118187,1217160,14287141,188257608, %T A013212 2702562653,41510829360,680290364755,11907404789280,222160337026823, %U A013212 4398121126494144,91965696132459313,2024411473737512840 %V A013212 -1,3,-6,23,-150,1351,-12600,118187,-1217160,14287141,-188257608, %W A013212 2702562653,-41510829360,680290364755,-11907404789280, %X A013212 222160337026823,-4398121126494144,91965696132459313 %N A013212 tan(log(x+1)-sin(x))=-1/2!*x^2+3/3!*x^3-6/4!*x^4+23/5!*x^5... %R A013212 %O A013212 0,2 %K A013212 sign,done %A A013212 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013213 %S A013213 1,3,6,23,90,91,2520,37549,453600,4950539,46054008,322939255, %T A013213 209249040,58871058247,1726916711520,36675055548935,665460508297536, %U A013213 10471928861164609,129836456400150520,620332225914784781 %V A013213 -1,3,-6,23,-90,91,2520,-37549,453600,-4950539,46054008,-322939255, %W A013213 209249040,58871058247,-1726916711520,36675055548935, %X A013213 -665460508297536,10471928861164609,-129836456400150520 %N A013213 arctan(log(x+1)-sin(x))=-1/2!*x^2+3/3!*x^3-6/4!*x^4+23/5!*x^5... %R A013213 %O A013213 0,2 %K A013213 sign,done %A A013213 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013214 %S A013214 1,0,0,0,3,30,180,1113,8379,69804,628614,6216155,67322211,789438078, %T A013214 9958088140,134602170675,1941190097399,29743794572824, %U A013214 482464755060922,8257903545778011,148698758217737671 %V A013214 1,0,0,0,-3,30,-180,1113,-8379,69804,-628614,6216155,-67322211, %W A013214 789438078,-9958088140,134602170675,-1941190097399,29743794572824, %X A013214 -482464755060922,8257903545778011,-148698758217737671 %N A013214 cos(log(x+1)-sin(x))=1-3/4!*x^4+30/5!*x^5-180/6!*x^6+1113/7!*x^7... %R A013214 %O A013214 0,5 %K A013214 sign,done %A A013214 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013215 %S A013215 1,3,6,23,135,1036,8820,79253,783405,8594146,103172454,1341998591, %T A013215 18791767995,281865510928,4509653027880,76663767284201, %U A013215 1379952916274457,26219142105604030,524382882377053690 %V A013215 -1,3,-6,23,-135,1036,-8820,79253,-783405,8594146,-103172454, %W A013215 1341998591,-18791767995,281865510928,-4509653027880,76663767284201, %X A013215 -1379952916274457,26219142105604030,-524382882377053690 %N A013215 sinh(log(x+1)-sin(x))=-1/2!*x^2+3/3!*x^3-6/4!*x^4+23/5!*x^5... %R A013215 %O A013215 0,2 %K A013215 sign,done %A A013215 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013216 %S A013216 1,3,6,23,105,406,1260,1385,48195,816794,7746354,28590343,859023165, %T A013216 32103094024,771444393720,15805494180377,295855009807833, %U A013216 5153505812257222,82415471899841090,1145995144599888365 %V A013216 -1,3,-6,23,-105,406,-1260,1385,48195,-816794,7746354,-28590343, %W A013216 -859023165,32103094024,-771444393720,15805494180377, %X A013216 -295855009807833,5153505812257222,-82415471899841090 %N A013216 arcsinh(log(x+1)-sin(x))=-1/2!*x^2+3/3!*x^3-6/4!*x^4+23/5!*x^5... %R A013216 %O A013216 0,2 %K A013216 sign,done %A A013216 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013217 %S A013217 1,3,6,23,90,91,2520,37549,461160,5366339,58528008,607263295, %T A013217 5930324400,49004509553,192095423520,4873161825335,189700932165696, %U A013217 4680846631063441,99367558621150840,1935131558912511581 %V A013217 -1,3,-6,23,-90,91,2520,-37549,461160,-5366339,58528008,-607263295, %W A013217 5930324400,-49004509553,192095423520,4873161825335,-189700932165696, %X A013217 4680846631063441,-99367558621150840,1935131558912511581 %N A013217 tanh(log(x+1)-sin(x))=-1/2!*x^2+3/3!*x^3-6/4!*x^4+23/5!*x^5... %R A013217 %O A013217 0,2 %K A013217 sign,done %A A013217 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013218 %S A013218 1,3,6,23,150,1351,12600,118187,1224720,14702941,200731608, %T A013218 2986886693,47352985680,800879433355,14538372969120,282952402841303, %U A013218 5862543549637824,128430397643505121,2964326737589237000 %V A013218 -1,3,-6,23,-150,1351,-12600,118187,-1224720,14702941,-200731608, %W A013218 2986886693,-47352985680,800879433355,-14538372969120, %X A013218 282952402841303,-5862543549637824,128430397643505121 %N A013218 arctanh(log(x+1)-sin(x))=-1/2!*x^2+3/3!*x^3-6/4!*x^4+23/5!*x^5... %R A013218 %O A013218 0,2 %K A013218 sign,done %A A013218 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013219 %S A013219 1,0,0,0,3,30,180,1113,8589,77364,779814,8613935,103330491, %T A013219 1342230318,18788673904,281844035445,4509647078489,76664498306728, %U A013219 1379956990973194,26219133416048859,524382648114394663 %V A013219 1,0,0,0,3,-30,180,-1113,8589,-77364,779814,-8613935,103330491, %W A013219 -1342230318,18788673904,-281844035445,4509647078489,-76664498306728, %X A013219 1379956990973194,-26219133416048859,524382648114394663 %N A013219 cosh(log(x+1)-sin(x))=1+3/4!*x^4-30/5!*x^5+180/6!*x^6-1113/7!*x^7... %R A013219 %O A013219 0,5 %K A013219 sign,done %A A013219 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013220 %S A013220 1,0,0,0,3,30,180,1113,9009,92484,1082214,13409495,175970751, %T A013220 2496463398,38493086632,639838512285,11345248531169,213247722492136, %U A013220 4238445880373338,88930681789096755,1965169642028345647 %V A013220 1,0,0,0,3,-30,180,-1113,9009,-92484,1082214,-13409495,175970751, %W A013220 -2496463398,38493086632,-639838512285,11345248531169, %X A013220 -213247722492136,4238445880373338,-88930681789096755 %N A013220 sec(log(x+1)-sin(x))=1+3/4!*x^4-30/5!*x^5+180/6!*x^6-1113/7!*x^7... %R A013220 %O A013220 0,5 %K A013220 sign,done %A A013220 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013221 %S A013221 1,0,0,0,3,30,180,1113,7959,54684,326214,1420595,4070649,267497802, %T A013221 5659842188,96370811565,1502630963281,22116660281384,303797514676022, %U A013221 3707479843755885,33686225612995313,29717521925873250 %V A013221 1,0,0,0,-3,30,-180,1113,-7959,54684,-326214,1420595,4070649, %W A013221 -267497802,5659842188,-96370811565,1502630963281,-22116660281384, %X A013221 303797514676022,-3707479843755885,33686225612995313 %N A013221 sech(log(x+1)-sin(x))=1-3/4!*x^4+30/5!*x^5-180/6!*x^6+1113/7!*x^7... %R A013221 %O A013221 0,5 %K A013221 sign,done %A A013221 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013222 %S A013222 1,1,6,15,105,390,3500,15785,181125,807750,12261150,25793625, %T A013222 784508725,9327500000,54587949000,5375441316375,69535091676375, %U A013222 2529291250424250,40837337931958750,1268829193109066875 %V A013222 -1,1,-6,15,-105,390,-3500,15785,-181125,807750,-12261150,25793625, %W A013222 -784508725,-9327500000,54587949000,-5375441316375,69535091676375, %X A013222 -2529291250424250,40837337931958750,-1268829193109066875 %N A013222 sin(log(x+1)-arcsin(x))=-1/2!*x^2+1/3!*x^3-6/4!*x^4+15/5!*x^5... %R A013222 %O A013222 0,3 %K A013222 sign,done %A A013222 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013223 %S A013223 1,1,6,15,135,600,6580,42805,554085,4837050,72076950,796427775, %T A013223 13416518115,180272874600,3389491521000,53781169937625, %U A013223 1117482909042825,20474457815886750,466428359492228250 %V A013223 -1,1,-6,15,-135,600,-6580,42805,-554085,4837050,-72076950, %W A013223 796427775,-13416518115,180272874600,-3389491521000,53781169937625, %X A013223 -1117482909042825,20474457815886750,-466428359492228250 %N A013223 arcsin(log(x+1)-arcsin(x))=-1/2!*x^2+1/3!*x^3-6/4!*x^4+15/5!*x^5... %R A013223 %O A013223 0,3 %K A013223 sign,done %A A013223 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013224 %S A013224 1,1,6,15,150,705,8120,56315,743400,6903675,103336200,1205843925, %T A013224 20238618400,284376581125,5302197732000,87055019166375, %U A013224 1788619770288000,33563618929137375,754531467461525000 %V A013224 -1,1,-6,15,-150,705,-8120,56315,-743400,6903675,-103336200, %W A013224 1205843925,-20238618400,284376581125,-5302197732000,87055019166375, %X A013224 -1788619770288000,33563618929137375,-754531467461525000 %N A013224 tan(log(x+1)-arcsin(x))=-1/2!*x^2+1/3!*x^3-6/4!*x^4+15/5!*x^5... %R A013224 %O A013224 0,3 %K A013224 sign,done %A A013224 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013225 %S A013225 1,1,6,15,90,285,1960,2275,20160,739125,5484600,142631775,978257280, %T A013225 20452770975,62899668000,1760322929625,37787340240000, %U A013225 438469128896175,27777038217435000,392637961158139125 %V A013225 -1,1,-6,15,-90,285,-1960,2275,-20160,-739125,5484600,-142631775, %W A013225 978257280,-20452770975,62899668000,-1760322929625,-37787340240000, %X A013225 438469128896175,-27777038217435000,392637961158139125 %N A013225 arctan(log(x+1)-arcsin(x))=-1/2!*x^2+1/3!*x^3-6/4!*x^4+15/5!*x^5... %R A013225 %O A013225 0,3 %K A013225 sign,done %A A013225 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013226 %S A013226 1,0,0,0,3,10,100,525,5355,37980,440550,3927275,52278875,560837550, %T A013226 8500662300,106552684875,1819369836375,26079977287000, %U A013226 496530064488250,8007335798362875,168440275093179375 %V A013226 1,0,0,0,-3,10,-100,525,-5355,37980,-440550,3927275,-52278875, %W A013226 560837550,-8500662300,106552684875,-1819369836375,26079977287000, %X A013226 -496530064488250,8007335798362875,-168440275093179375 %N A013226 cos(log(x+1)-arcsin(x))=1-3/4!*x^4+10/5!*x^5-100/6!*x^6+525/7!*x^7... %R A013226 %O A013226 0,5 %K A013226 sign,done %A A013226 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013227 %S A013227 1,1,6,15,135,600,6580,42805,546525,4698450,68473350,732163575, %T A013227 12012875875,153571600000,2805371985000,41710773599625, %U A013227 840435196901625,14241298404498750,313987574315496250 %V A013227 -1,1,-6,15,-135,600,-6580,42805,-546525,4698450,-68473350, %W A013227 732163575,-12012875875,153571600000,-2805371985000,41710773599625, %X A013227 -840435196901625,14241298404498750,-313987574315496250 %N A013227 sinh(log(x+1)-arcsin(x))=-1/2!*x^2+1/3!*x^3-6/4!*x^4+15/5!*x^5... %R A013227 %O A013227 0,3 %K A013227 sign,done %A A013227 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013228 %S A013228 1,1,6,15,105,390,3500,15785,188685,946350,15864750,90057825, %T A013228 2127610485,15254857800,444774915000,4213468013625,130378398500025, %U A013228 1538133793366950,48054409884965250,657150956390521125 %V A013228 -1,1,-6,15,-105,390,-3500,15785,-188685,946350,-15864750,90057825, %W A013228 -2127610485,15254857800,-444774915000,4213468013625, %X A013228 -130378398500025,1538133793366950,-48054409884965250 %N A013228 arcsinh(log(x+1)-arcsin(x))=-1/2!*x^2+1/3!*x^3-6/4!*x^4+15/5!*x^5... %R A013228 %O A013228 0,3 %K A013228 sign,done %A A013228 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013229 %S A013229 1,1,6,15,90,285,1960,2275,12600,877725,9088200,206895975,2291088800, %T A013229 43975670375,519884196000,10108488755625,124295092272000, %U A013229 2588043770222625,31717643136725000,735654441143106875 %V A013229 -1,1,-6,15,-90,285,-1960,2275,-12600,-877725,9088200,-206895975, %W A013229 2291088800,-43975670375,519884196000,-10108488755625, %X A013229 124295092272000,-2588043770222625,31717643136725000 %N A013229 tanh(log(x+1)-arcsin(x))=-1/2!*x^2+1/3!*x^3-6/4!*x^4+15/5!*x^5... %R A013229 %O A013229 0,3 %K A013229 sign,done %A A013229 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013230 %S A013230 1,1,6,15,150,705,8120,56315,750960,7042275,106939800,1270108125, %T A013230 21672530880,312137314125,5928695604000,100366159008375, %U A013230 2104970646729600,40921600563449775,941124223535301000 %V A013230 -1,1,-6,15,-150,705,-8120,56315,-750960,7042275,-106939800, %W A013230 1270108125,-21672530880,312137314125,-5928695604000, %X A013230 100366159008375,-2104970646729600,40921600563449775 %N A013230 arctanh(log(x+1)-arcsin(x))=-1/2!*x^2+1/3!*x^3-6/4!*x^4+15/5!*x^5... %R A013230 %O A013230 0,3 %K A013230 sign,done %A A013230 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013231 %S A013231 1,0,0,0,3,10,100,525,5565,40500,490950,4581775,63536275,723857550, %T A013231 11365224000,152882218125,2687668517625,41677719265000, %U A013231 812130983706250,14259432279850875,305288364810999375 %V A013231 1,0,0,0,3,-10,100,-525,5565,-40500,490950,-4581775,63536275, %W A013231 -723857550,11365224000,-152882218125,2687668517625,-41677719265000, %X A013231 812130983706250,-14259432279850875,305288364810999375 %N A013231 cosh(log(x+1)-arcsin(x))=1+3/4!*x^4-10/5!*x^5+100/6!*x^6-525/7!*x^7... %R A013231 %O A013231 0,5 %K A013231 sign,done %A A013231 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013232 %S A013232 1,0,0,0,3,10,100,525,5985,45540,591750,5890775,86674775,1066113750, %T A013232 17624076600,257870101125,4747675466625,80439982441000, %U A013232 1635873200172250,31462999921825875,701530665349044375 %V A013232 1,0,0,0,3,-10,100,-525,5985,-45540,591750,-5890775,86674775, %W A013232 -1066113750,17624076600,-257870101125,4747675466625,-80439982441000, %X A013232 1635873200172250,-31462999921825875,701530665349044375 %N A013232 sec(log(x+1)-arcsin(x))=1+3/4!*x^4-10/5!*x^5+100/6!*x^6-525/7!*x^7... %R A013232 %O A013232 0,5 %K A013232 sign,done %A A013232 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013233 %S A013233 1,0,0,0,3,10,100,525,4935,32940,339750,2618275,30387775,251013750, %T A013233 3301268100,26222434875,400587471375,2197651183000,45694778418250, %U A013233 233584427890125,1331937583104375,288821788791558750 %V A013233 1,0,0,0,-3,10,-100,525,-4935,32940,-339750,2618275,-30387775, %W A013233 251013750,-3301268100,26222434875,-400587471375,2197651183000, %X A013233 -45694778418250,-233584427890125,-1331937583104375 %N A013233 sech(log(x+1)-arcsin(x))=1-3/4!*x^4+10/5!*x^5-100/6!*x^6+525/7!*x^7... %R A013233 %O A013233 0,5 %K A013233 sign,done %A A013233 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013234 %S A013234 1,0,6,8,105,448,3780,29360,231525,2498848,20985426,271494104, %T A013234 2503393893,35568205216,346194368520,4969746747488,41862411119529, %U A013234 433992302190016,4063211694577570,232678981367758168 %V A013234 -1,0,-6,8,-105,448,-3780,29360,-231525,2498848,-20985426,271494104, %W A013234 -2503393893,35568205216,-346194368520,4969746747488,-41862411119529, %X A013234 433992302190016,4063211694577570,-232678981367758168 %N A013234 sin(log(x+1)-tan(x))=-1/2!*x^2-6/4!*x^4+8/5!*x^5-105/6!*x^6... %R A013234 %O A013234 0,3 %K A013234 sign,done %A A013234 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013235 %S A013235 1,0,6,8,135,448,6300,35408,503685,4051168,61966674,652583384, %T A013235 10926862947,142548422560,2622105365880,40794310136480, %U A013235 822873495765321,14853219468665920,327327482638812190 %V A013235 -1,0,-6,8,-135,448,-6300,35408,-503685,4051168,-61966674,652583384, %W A013235 -10926862947,142548422560,-2622105365880,40794310136480, %X A013235 -822873495765321,14853219468665920,-327327482638812190 %N A013235 arcsin(log(x+1)-tan(x))=-1/2!*x^2-6/4!*x^4+8/5!*x^5-135/6!*x^6... %R A013235 %O A013235 0,3 %K A013235 sign,done %A A013235 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013236 %S A013236 1,0,6,8,150,448,7560,38432,642600,4827328,83392848,846371264, %T A013236 15413462064,198308799232,3850826179200,59939510237696, %U A013236 1248952432920192,22723443584373760,509532711855338240 %V A013236 -1,0,-6,8,-150,448,-7560,38432,-642600,4827328,-83392848,846371264, %W A013236 -15413462064,198308799232,-3850826179200,59939510237696, %X A013236 -1248952432920192,22723443584373760,-509532711855338240 %N A013236 tan(log(x+1)-tan(x))=-1/2!*x^2-6/4!*x^4+8/5!*x^5-150/6!*x^6... %R A013236 %O A013236 0,3 %K A013236 sign,done %A A013236 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013237 %S A013237 1,0,6,8,90,448,2520,26336,120960,1722688,8914752,110138624, %T A013237 763819056,2510508544,23764540800,1852444415488,25138910788992, %U A013237 839278029937664,14518492774196480,301837255570263040 %V A013237 -1,0,-6,8,-90,448,-2520,26336,-120960,1722688,-8914752,110138624, %W A013237 -763819056,2510508544,-23764540800,-1852444415488,25138910788992, %X A013237 -839278029937664,14518492774196480,-301837255570263040 %N A013237 arctan(log(x+1)-tan(x))=-1/2!*x^2-6/4!*x^4+8/5!*x^5-90/6!*x^6... %R A013237 %O A013237 0,3 %K A013237 sign,done %A A013237 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013238 %S A013238 1,0,0,0,3,0,90,168,4515,22176,367164,3056240,44886303,514017504, %T A013238 7678036366,108246861240,1737483795047,28423328341696, %U A013238 499635179800312,9187861099329504,177412155709129435 %V A013238 1,0,0,0,-3,0,-90,168,-4515,22176,-367164,3056240,-44886303, %W A013238 514017504,-7678036366,108246861240,-1737483795047,28423328341696, %X A013238 -499635179800312,9187861099329504,-177412155709129435 %N A013238 cos(log(x+1)-tan(x))=1-3/4!*x^4-90/6!*x^6+168/7!*x^7-4515/8!*x^8... %R A013238 %O A013238 0,5 %K A013238 sign,done %A A013238 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013239 %S A013239 1,0,6,8,135,448,6300,35408,496125,4051168,59471874,643934744, %T A013239 10139836707,136494374560,2334659166840,37300690086560, %U A013239 696737113793721,12786540011455552,260937837571947070 %V A013239 -1,0,-6,8,-135,448,-6300,35408,-496125,4051168,-59471874,643934744, %W A013239 -10139836707,136494374560,-2334659166840,37300690086560, %X A013239 -696737113793721,12786540011455552,-260937837571947070 %N A013239 sinh(log(x+1)-tan(x))=-1/2!*x^2-6/4!*x^4+8/5!*x^5-135/6!*x^6... %R A013239 %O A013239 0,3 %K A013239 sign,done %A A013239 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013240 %S A013240 1,0,6,8,105,448,3780,29360,239085,2498848,23480226,280142744, %T A013240 3229879653,41622253216,582786564360,8232828649568,134282588969529, %U A013240 2159014224301504,39520792904437310,738874831028469032 %V A013240 -1,0,-6,8,-105,448,-3780,29360,-239085,2498848,-23480226,280142744, %W A013240 -3229879653,41622253216,-582786564360,8232828649568, %X A013240 -134282588969529,2159014224301504,-39520792904437310 %N A013240 arcsinh(log(x+1)-tan(x))=-1/2!*x^2-6/4!*x^4+8/5!*x^5-105/6!*x^6... %R A013240 %O A013240 0,3 %K A013240 sign,done %A A013240 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013241 %S A013241 1,0,6,8,90,448,2520,26336,113400,1722688,6419952,101489984,67603536, %T A013241 3543539456,187400653440,5000257243648,101437039896192, %U A013241 2393471184499712,47958328313066240,1096842391672099840 %V A013241 -1,0,-6,8,-90,448,-2520,26336,-113400,1722688,-6419952,101489984, %W A013241 -67603536,-3543539456,187400653440,-5000257243648,101437039896192, %X A013241 -2393471184499712,47958328313066240,-1096842391672099840 %N A013241 tanh(log(x+1)-tan(x))=-1/2!*x^2-6/4!*x^4+8/5!*x^5-90/6!*x^6... %R A013241 %O A013241 0,3 %K A013241 sign,done %A A013241 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013242 %S A013242 1,0,6,8,150,448,7560,38432,650160,4827328,85887648,855019904, %T A013242 16230758544,204362847232,4163699379840,63548399361536, %U A013242 1392682970270592,24960951809133568,588583828329908480 %V A013242 -1,0,-6,8,-150,448,-7560,38432,-650160,4827328,-85887648,855019904, %W A013242 -16230758544,204362847232,-4163699379840,63548399361536, %X A013242 -1392682970270592,24960951809133568,-588583828329908480 %N A013242 arctanh(log(x+1)-tan(x))=-1/2!*x^2-6/4!*x^4+8/5!*x^5-150/6!*x^6... %R A013242 %O A013242 0,3 %K A013242 sign,done %A A013242 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013243 %S A013243 1,0,0,0,3,0,90,168,4725,22176,404964,3167120,51954903,563026464, %T A013243 9315656350,126730926840,2219178178217,35798640990400, %U A013243 676619926058632,12499985614160160,256672333451106667 %V A013243 1,0,0,0,3,0,90,-168,4725,-22176,404964,-3167120,51954903,-563026464, %W A013243 9315656350,-126730926840,2219178178217,-35798640990400, %X A013243 676619926058632,-12499985614160160,256672333451106667 %N A013243 cosh(log(x+1)-tan(x))=1+3/4!*x^4+90/6!*x^6-168/7!*x^7+4725/8!*x^8... %R A013243 %O A013243 0,5 %K A013243 sign,done %A A013243 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013244 %S A013244 1,0,0,0,3,0,90,168,5145,22176,480564,3388880,66715803,661044384, %T A013244 12931436518,165061218840,3342012731057,51969545948608, %U A013244 1111264170332872,20261556663255072,462081844937750131 %V A013244 1,0,0,0,3,0,90,-168,5145,-22176,480564,-3388880,66715803,-661044384, %W A013244 12931436518,-165061218840,3342012731057,-51969545948608, %X A013244 1111264170332872,-20261556663255072,462081844937750131 %N A013244 sec(log(x+1)-tan(x))=1+3/4!*x^4+90/6!*x^6-168/7!*x^7+5145/8!*x^8... %R A013244 %O A013244 0,5 %K A013244 sign,done %A A013244 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013245 %S A013245 1,0,0,0,3,0,90,168,4095,22176,291564,2834480,31372803,415999584, %T A013245 4743336598,72640890840,927946226207,15092982705088,219492662105272, %U A013245 3666238685959392,59492414408303971,1005219696183286080 %V A013245 1,0,0,0,-3,0,-90,168,-4095,22176,-291564,2834480,-31372803, %W A013245 415999584,-4743336598,72640890840,-927946226207,15092982705088, %X A013245 -219492662105272,3666238685959392,-59492414408303971 %N A013245 sech(log(x+1)-tan(x))=1-3/4!*x^4-90/6!*x^6+168/7!*x^7-4095/8!*x^8... %R A013245 %O A013245 0,5 %K A013245 sign,done %A A013245 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013246 %S A013246 1,4,6,0,105,1020,700,48160,29925,2852100,39624750,990132000, %T A013246 2798670875,35779061500,2042289483000,56002989432000,277252662828375, %U A013246 1348783879306500,236532018033561250,7572168906853720000 %V A013246 -1,4,-6,0,-105,1020,700,-48160,-29925,2852100,39624750,-990132000, %W A013246 2798670875,35779061500,2042289483000,-56002989432000, %X A013246 277252662828375,1348783879306500,236532018033561250 %N A013246 sin(log(x+1)-arctan(x))=-1/2!*x^2+4/3!*x^3-6/4!*x^4-105/6!*x^6... %R A013246 %O A013246 0,2 %K A013246 sign,done %A A013246 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013247 %S A013247 1,4,6,0,135,1860,10780,48160,705285,12356100,144752850,1590732000, %T A013247 25870559715,486296892900,8228037051000,144968627793600, %U A013247 3059375913585225,67951188182650500,1468740564133566750 %V A013247 -1,4,-6,0,-135,1860,-10780,48160,-705285,12356100,-144752850, %W A013247 1590732000,-25870559715,486296892900,-8228037051000, %X A013247 144968627793600,-3059375913585225,67951188182650500 %N A013247 arcsin(log(x+1)-arctan(x))=-1/2!*x^2+4/3!*x^3-6/4!*x^4-135/6!*x^6... %R A013247 %O A013247 0,2 %K A013247 sign,done %A A013247 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013248 %S A013248 1,4,6,0,150,2280,16520,96320,1045800,17316000,244530000,3061344000, %T A013248 43372529200,761044648000,14257920144000,263995016064000, %U A013248 5068873669392000,106427464573248000,2403456414525920000 %V A013248 -1,4,-6,0,-150,2280,-16520,96320,-1045800,17316000,-244530000, %W A013248 3061344000,-43372529200,761044648000,-14257920144000, %X A013248 263995016064000,-5068873669392000,106427464573248000 %N A013248 tan(log(x+1)-arctan(x))=-1/2!*x^2+4/3!*x^3-6/4!*x^4-150/6!*x^6... %R A013248 %O A013248 0,2 %K A013248 sign,done %A A013248 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013249 %S A013249 1,4,6,0,90,600,6440,96320,282240,28800,63518400,658944000, %T A013249 11371279920,255692673600,859133808000,9642264652800, %U A013249 1104139083715200,14885344037491200,258279234868512000 %V A013249 -1,4,-6,0,-90,600,6440,-96320,282240,-28800,63518400,-658944000, %W A013249 -11371279920,255692673600,-859133808000,9642264652800, %X A013249 -1104139083715200,14885344037491200,258279234868512000 %N A013249 arctan(log(x+1)-atan(x))=-1/2!*x^2+4/3!*x^3-6/4!*x^4-90/6!*x^6... %R A013249 %O A013249 0,2 %K A013249 sign,done %A A013249 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013250 %S A013250 1,0,0,0,3,40,250,840,4515,87120,949500,4360400,24799775,1013539800, %T A013250 16719504750,82697979000,246429558375,40173677908000,928344422395000, %U A013250 3990578889492000,32523853181113125,4104598473263925000 %V A013250 1,0,0,0,-3,40,-250,840,-4515,87120,-949500,4360400,-24799775, %W A013250 1013539800,-16719504750,82697979000,-246429558375,40173677908000, %X A013250 -928344422395000,3990578889492000,32523853181113125 %N A013250 cos(log(x+1)-arctan(x))=1-3/4!*x^4+40/5!*x^5-250/6!*x^6+840/7!*x^7... %R A013250 %O A013250 0,5 %K A013250 sign,done %A A013250 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013251 %S A013251 1,4,6,0,135,1860,10780,48160,697725,11801700,124517250,1110252000, %T A013251 17370227875,346759094500,5312388315000,71055274680000, %U A013251 1308651318365625,30345122522578500,607045975529938750 %V A013251 -1,4,-6,0,-135,1860,-10780,48160,-697725,11801700,-124517250, %W A013251 1110252000,-17370227875,346759094500,-5312388315000,71055274680000, %X A013251 -1308651318365625,30345122522578500,-607045975529938750 %N A013251 sinh(log(x+1)-arctan(x))=-1/2!*x^2+4/3!*x^3-6/4!*x^4-135/6!*x^6... %R A013251 %O A013251 0,2 %K A013251 sign,done %A A013251 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013252 %S A013252 1,4,6,0,105,1020,700,48160,37485,3406500,19389150,509652000, %T A013252 5641120485,166841192700,280062549000,9498060561600,532972346765625, %U A013252 12591110742783300,60674315564333250,3333599851120344000 %V A013252 -1,4,-6,0,-105,1020,700,-48160,-37485,3406500,19389150,-509652000, %W A013252 -5641120485,166841192700,-280062549000,-9498060561600, %X A013252 -532972346765625,12591110742783300,60674315564333250 %N A013252 arcsinh(log(x+1)-arctan(x))=-1/2!*x^2+4/3!*x^3-6/4!*x^4-105/6!*x^6... %R A013252 %O A013252 0,2 %K A013252 sign,done %A A013252 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013253 %S A013253 1,4,6,0,90,600,6440,96320,289800,583200,83754000,1139424000, %T A013253 2961758800,128868376000,1166569872000,23158452096000, %U A013253 763427813616000,16657066415808000,110377962138080000 %V A013253 -1,4,-6,0,-90,600,6440,-96320,289800,-583200,83754000,-1139424000, %W A013253 -2961758800,128868376000,1166569872000,-23158452096000, %X A013253 -763427813616000,16657066415808000,110377962138080000 %N A013253 tanh(log(x+1)-arctan(x))=-1/2!*x^2+4/3!*x^3-6/4!*x^4-90/6!*x^6... %R A013253 %O A013253 0,2 %K A013253 sign,done %A A013253 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013254 %S A013254 1,4,6,0,150,2280,16520,96320,1053360,17870400,264765600,3541824000, %T A013254 51903131280,904820280000,17470217232000,351612581299200, %U A013254 7290584110742400,157383219788121600,3627228914064288000 %V A013254 -1,4,-6,0,-150,2280,-16520,96320,-1053360,17870400,-264765600, %W A013254 3541824000,-51903131280,904820280000,-17470217232000, %X A013254 351612581299200,-7290584110742400,157383219788121600 %N A013254 arctanh(log(x+1)-atan(x))=-1/2!*x^2+4/3!*x^3-6/4!*x^4-150/6!*x^6... %R A013254 %O A013254 0,2 %K A013254 sign,done %A A013254 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013255 %S A013255 1,0,0,0,3,40,250,840,4725,97200,1188900,7994800,66364375,1544127000, %T A013255 26899674750,278709795000,3240888275625,85063768972000, %U A013255 1886327500213000,26696356464492000,405832799545216875 %V A013255 1,0,0,0,3,-40,250,-840,4725,-97200,1188900,-7994800,66364375, %W A013255 -1544127000,26899674750,-278709795000,3240888275625,-85063768972000, %X A013255 1886327500213000,-26696356464492000,405832799545216875 %N A013255 cosh(log(x+1)-arctan(x))=1+3/4!*x^4-40/5!*x^5+250/6!*x^6-840/7!*x^7... %R A013255 %O A013255 0,5 %K A013255 sign,done %A A013255 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013256 %S A013256 1,0,0,0,3,40,250,840,5145,117360,1667700,15263600,150117275, %T A013256 2670166200,50627578950,785508087000,12133753256625,237020801836000, %U A013256 5185811491549000,108420617788236000,2281622385785461875 %V A013256 1,0,0,0,3,-40,250,-840,5145,-117360,1667700,-15263600,150117275, %W A013256 -2670166200,50627578950,-785508087000,12133753256625, %X A013256 -237020801836000,5185811491549000,-108420617788236000 %N A013256 sec(log(x+1)-arctan(x))=1+3/4!*x^4-40/5!*x^5+250/6!*x^6-840/7!*x^7... %R A013256 %O A013256 0,5 %K A013256 sign,done %A A013256 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013257 %S A013257 1,0,0,0,3,40,250,840,4095,66960,470700,2908400,57705725,17230200, %T A013257 273271050,194550993000,2844134918625,11555861044000,303831545875000, %U A013257 10640259365580000,157518220758868125,5110046078757165000 %V A013257 1,0,0,0,-3,40,-250,840,-4095,66960,-470700,-2908400,57705725, %W A013257 17230200,273271050,-194550993000,2844134918625,11555861044000, %X A013257 -303831545875000,-10640259365580000,157518220758868125 %N A013257 sech(log(x+1)-arctan(x))=1-3/4!*x^4+40/5!*x^5-250/6!*x^6+840/7!*x^7... %R A013257 %O A013257 0,5 %K A013257 sign,done %A A013257 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013258 %S A013258 1,1,6,23,105,614,3500,23785,160965,1109414,6628446,14323385, %T A013258 625668043,19616745968,448164492360,9492285973399,198428984155863, %U A013258 4196829028100218,90850331257510750,2024626265649361787 %V A013258 -1,1,-6,23,-105,614,-3500,23785,-160965,1109414,-6628446,14323385, %W A013258 625668043,-19616745968,448164492360,-9492285973399,198428984155863, %X A013258 -4196829028100218,90850331257510750,-2024626265649361787 %N A013258 sin(log(x+1)-sinh(x))=-1/2!*x^2+1/3!*x^3-6/4!*x^4+23/5!*x^5... %R A013258 %O A013258 0,3 %K A013258 sign,done %A A013258 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013259 %S A013259 1,1,6,23,135,824,6580,56853,574245,6321434,77709654,1034820863, %T A013259 15028496483,234652617016,3939397037160,70561239939417, %U A013259 1345864598250633,27205562970320606,581454141374015770 %V A013259 -1,1,-6,23,-135,824,-6580,56853,-574245,6321434,-77709654, %W A013259 1034820863,-15028496483,234652617016,-3939397037160,70561239939417, %X A013259 -1345864598250633,27205562970320606,-581454141374015770 %N A013259 arcsin(log(x+1)-sinh(x))=-1/2!*x^2+1/3!*x^3-6/4!*x^4+23/5!*x^5... %R A013259 %O A013259 0,3 %K A013259 sign,done %A A013259 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013260 %S A013260 1,1,6,23,150,929,8120,73387,783720,8979419,114601608,1572411917, %T A013260 23422214816,373361085733,6370742969760,115548671959175, %U A013260 2223018007825536,45175620448879391,967373064217266440 %V A013260 -1,1,-6,23,-150,929,-8120,73387,-783720,8979419,-114601608, %W A013260 1572411917,-23422214816,373361085733,-6370742969760, %X A013260 115548671959175,-2223018007825536,45175620448879391 %N A013260 tan(log(x+1)-sinh(x))=-1/2!*x^2+1/3!*x^3-6/4!*x^4+23/5!*x^5... %R A013260 %O A013260 0,3 %K A013260 sign,done %A A013260 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013261 %S A013261 1,1,6,23,90,509,1960,7251,20160,1028821,16750008,249844519, %T A013261 3354647296,42644099135,506129014560,4945670890617,23557830350976, %U A013261 694520543221487,32533456838195320,956551460942273757 %V A013261 -1,1,-6,23,-90,509,-1960,7251,20160,-1028821,16750008,-249844519, %W A013261 3354647296,-42644099135,506129014560,-4945670890617,23557830350976, %X A013261 694520543221487,-32533456838195320,956551460942273757 %N A013261 arctan(log(x+1)-sinh(x))=-1/2!*x^2+1/3!*x^3-6/4!*x^4+23/5!*x^5... %R A013261 %O A013261 0,3 %K A013261 sign,done %A A013261 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013262 %S A013262 1,0,0,0,3,10,100,693,5803,52092,505734,5365195,61255579,754182702, %T A013262 9947852044,140160046635,2101501505751,33422099566552, %U A013262 562127778341242,9970641912040443,186034070549967727 %V A013262 1,0,0,0,-3,10,-100,693,-5803,52092,-505734,5365195,-61255579, %W A013262 754182702,-9947852044,140160046635,-2101501505751,33422099566552, %X A013262 -562127778341242,9970641912040443,-186034070549967727 %N A013262 cos(log(x+1)-sinh(x))=1-3/4!*x^4+10/5!*x^5-100/6!*x^6+693/7!*x^7... %R A013262 %O A013262 0,5 %K A013262 sign,done %A A013262 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013263 %S A013263 1,1,6,23,135,824,6580,56853,566685,6182834,74106054,961908023, %T A013263 13463412963,201897294416,3230214322920,54911338071817, %U A013263 988396711394553,18779422653489278,375588020724014010 %V A013263 -1,1,-6,23,-135,824,-6580,56853,-566685,6182834,-74106054, %W A013263 961908023,-13463412963,201897294416,-3230214322920,54911338071817, %X A013263 -988396711394553,18779422653489278,-375588020724014010 %N A013263 sinh(log(x+1)-sinh(x))=-1/2!*x^2+1/3!*x^3-6/4!*x^4+23/5!*x^5... %R A013263 %O A013263 0,3 %K A013263 sign,done %A A013263 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013264 %S A013264 1,1,6,23,105,614,3500,23785,168525,1248014,10232046,87236225, %T A013264 878874997,11019659832,176261549880,3445590738361,73605307413177, %U A013264 1643075339474150,37315705749869570,854635215667984933 %V A013264 -1,1,-6,23,-105,614,-3500,23785,-168525,1248014,-10232046,87236225, %W A013264 -878874997,11019659832,-176261549880,3445590738361,-73605307413177, %X A013264 1643075339474150,-37315705749869570,854635215667984933 %N A013264 arcsinh(log(x+1)-sinh(x))=-1/2!*x^2+1/3!*x^3-6/4!*x^4+23/5!*x^5... %R A013264 %O A013264 0,3 %K A013264 sign,done %A A013264 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013265 %S A013265 1,1,6,23,90,509,1960,7251,27720,1167421,20353608,322757359, %T A013265 4828920096,72221046535,1088176720800,16527535024457,253611377594496, %U A013265 3894220888850401,59159990565014280,867121871617930963 %V A013265 -1,1,-6,23,-90,509,-1960,7251,27720,-1167421,20353608,-322757359, %W A013265 4828920096,-72221046535,1088176720800,-16527535024457, %X A013265 253611377594496,-3894220888850401,59159990565014280 %N A013265 tanh(log(x+1)-sinh(x))=-1/2!*x^2+1/3!*x^3-6/4!*x^4+23/5!*x^5... %R A013265 %O A013265 0,3 %K A013265 sign,done %A A013265 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013266 %S A013266 1,1,6,23,150,929,8120,73387,791280,9118019,118205208,1645324757, %T A013266 25017568576,407175866733,7122304020000,132554586404695, %U A013266 2623938745643136,54936833779465199,1214466678905718920 %V A013266 -1,1,-6,23,-150,929,-8120,73387,-791280,9118019,-118205208, %W A013266 1645324757,-25017568576,407175866733,-7122304020000, %X A013266 132554586404695,-2623938745643136,54936833779465199 %N A013266 arctanh(log(x+1)-sinh(x))=-1/2!*x^2+1/3!*x^3-6/4!*x^4+23/5!*x^5... %R A013266 %O A013266 0,3 %K A013266 sign,done %A A013266 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013267 %S A013267 1,0,0,0,3,10,100,693,6013,54612,556134,6130575,73843539,960445902, %T A013267 13455039728,201847162125,3229894901881,54909246089576, %U A013267 988382345047626,18779319891598203,375587262559207119 %V A013267 1,0,0,0,3,-10,100,-693,6013,-54612,556134,-6130575,73843539, %W A013267 -960445902,13455039728,-201847162125,3229894901881,-54909246089576, %X A013267 988382345047626,-18779319891598203,375587262559207119 %N A013267 cosh(log(x+1)-sinh(x))=1+3/4!*x^4-10/5!*x^5+100/6!*x^6-693/7!*x^7... %R A013267 %O A013267 0,5 %K A013267 sign,done %A A013267 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013268 %S A013268 1,0,0,0,3,10,100,693,6433,59652,656934,7661335,99643159,1389188502, %T A013268 20999144296,338912370405,5846415568641,107035268122024, %U A013268 2076101997603994,42490682821565523,915575487758746903 %V A013268 1,0,0,0,3,-10,100,-693,6433,-59652,656934,-7661335,99643159, %W A013268 -1389188502,20999144296,-338912370405,5846415568641, %X A013268 -107035268122024,2076101997603994,-42490682821565523 %N A013268 sec(log(x+1)-sinh(x))=1+3/4!*x^4-10/5!*x^5+100/6!*x^6-693/7!*x^7... %R A013268 %O A013268 0,5 %K A013268 sign,done %A A013268 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013269 %S A013269 1,0,0,0,3,10,100,693,5383,47052,404934,3834435,36703359,357872502, %T A013269 3463205876,30476792955,198853998991,654085861096,67344661591926, %U A013269 2023504421641677,49767870277602057,1136652584865508830 %V A013269 1,0,0,0,-3,10,-100,693,-5383,47052,-404934,3834435,-36703359, %W A013269 357872502,-3463205876,30476792955,-198853998991,-654085861096, %X A013269 67344661591926,-2023504421641677,49767870277602057 %N A013269 sech(log(x+1)-sinh(x))=1-3/4!*x^4+10/5!*x^5-100/6!*x^6+693/7!*x^7... %R A013269 %O A013269 0,5 %K A013269 sign,done %A A013269 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013270 %S A013270 1,3,6,15,105,630,1260,6615,4725,103950,19022850,387161775, %T A013270 3887158275,49945896000,1286674389000,26163490728375,376381518888375, %U A013270 6290132811212250,161471805183438750,3765200922109501875 %V A013270 -1,3,-6,15,-105,630,-1260,-6615,-4725,103950,19022850,-387161775, %W A013270 3887158275,-49945896000,1286674389000,-26163490728375, %X A013270 376381518888375,-6290132811212250,161471805183438750 %N A013270 sin(log(x+1)-arcsinh(x))=-1/2!*x^2+3/3!*x^3-6/4!*x^4+15/5!*x^5... %R A013270 %O A013270 0,2 %K A013270 sign,done %A A013270 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013271 %S A013271 1,3,6,15,135,1260,8820,65205,730485,9459450,114448950,1473647175, %T A013271 22993085115,390145555800,6611360956200,119388158314425, %U A013271 2419208528762025,51974244237865950,1137925961174252250 %V A013271 -1,3,-6,15,-135,1260,-8820,65205,-730485,9459450,-114448950, %W A013271 1473647175,-22993085115,390145555800,-6611360956200, %X A013271 119388158314425,-2419208528762025,51974244237865950 %N A013271 arcsin(log(x+1)-arcsinh(x))=-1/2!*x^2+3/3!*x^3-6/4!*x^4+15/5!*x^5... %R A013271 %O A013271 0,2 %K A013271 sign,done %A A013271 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013272 %S A013272 1,3,6,15,150,1575,12600,101115,1096200,14293125,185862600, %T A013272 2507429925,38410772400,647097325875,11267340084000,205801851630375, %U A013272 4076456247864000,86033963719328625,1881484336216485000 %V A013272 -1,3,-6,15,-150,1575,-12600,101115,-1096200,14293125,-185862600, %W A013272 2507429925,-38410772400,647097325875,-11267340084000, %X A013272 205801851630375,-4076456247864000,86033963719328625 %N A013272 tan(log(x+1)-arcsinh(x))=-1/2!*x^2+3/3!*x^3-6/4!*x^4+15/5!*x^5... %R A013272 %O A013272 0,2 %K A013272 sign,done %A A013272 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013273 %S A013273 1,3,6,15,90,315,2520,42525,332640,3170475,43659000,387161775, %T A013273 469188720,61992505575,1117425909600,23419417796775,552570387969600, %U A013273 9277455340778625,88132216543371000,248023194743449125 %V A013273 -1,3,-6,15,-90,315,2520,-42525,332640,-3170475,43659000,-387161775, %W A013273 -469188720,61992505575,-1117425909600,23419417796775, %X A013273 -552570387969600,9277455340778625,-88132216543371000 %N A013273 arctan(log(x+1)-arcsinh(x))=-1/2!*x^2+3/3!*x^3-6/4!*x^4+15/5!*x^5... %R A013273 %O A013273 0,2 %K A013273 sign,done %A A013273 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013274 %S A013274 1,0,0,0,3,30,180,945,7035,71820,670950,5665275,60135075,839188350, %T A013274 10954043100,127205953875,1781461056375,32362913583000, %U A013274 545592285488250,7972311855382875,138305575427394375 %V A013274 1,0,0,0,-3,30,-180,945,-7035,71820,-670950,5665275,-60135075, %W A013274 839188350,-10954043100,127205953875,-1781461056375,32362913583000, %X A013274 -545592285488250,7972311855382875,-138305575427394375 %N A013274 cos(log(x+1)-arcsinh(x))=1-3/4!*x^4+30/5!*x^5-180/6!*x^6+945/7!*x^7... %R A013274 %O A013274 0,5 %K A013274 sign,done %A A013274 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013275 %S A013275 1,3,6,15,135,1260,8820,65205,722925,9043650,101974950,1197971775, %T A013275 17665522875,286053768000,4408292889000,70284304715625, %U A013275 1307027554457625,26160675737946750,509941992726416250 %V A013275 -1,3,-6,15,-135,1260,-8820,65205,-722925,9043650,-101974950, %W A013275 1197971775,-17665522875,286053768000,-4408292889000,70284304715625, %X A013275 -1307027554457625,26160675737946750,-509941992726416250 %N A013275 sinh(log(x+1)-arcsinh(x))=-1/2!*x^2+3/3!*x^3-6/4!*x^4+15/5!*x^5... %R A013275 %O A013275 0,2 %K A013275 sign,done %A A013275 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013276 %S A013276 1,3,6,15,105,630,1260,6615,12285,519750,6548850,111486375, %T A013276 1379863485,47789141400,560415655800,8675814972825,266366151876825, %U A013276 5553256188630150,63668362865357250,633115535245318125 %V A013276 -1,3,-6,15,-105,630,-1260,-6615,-12285,519750,6548850,-111486375, %W A013276 -1379863485,47789141400,-560415655800,8675814972825, %X A013276 -266366151876825,5553256188630150,-63668362865357250 %N A013276 arcsinh(log(x+1)-arcsinh(x))=-1/2!*x^2+3/3!*x^3-6/4!*x^4+15/5!*x^5... %R A013276 %O A013276 0,2 %K A013276 sign,done %A A013276 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013277 %S A013277 1,3,6,15,90,315,2520,42525,340200,3586275,56133000,662837175, %T A013277 4767562800,32564156625,551675124000,4287613955625,143803315656000, %U A013277 4293290973596625,53086088130075000,948950948463643125 %V A013277 -1,3,-6,15,-90,315,2520,-42525,340200,-3586275,56133000,-662837175, %W A013277 4767562800,-32564156625,551675124000,-4287613955625, %X A013277 -143803315656000,4293290973596625,-53086088130075000 %N A013277 tanh(log(x+1)-arcsinh(x))=-1/2!*x^2+3/3!*x^3-6/4!*x^4+15/5!*x^5... %R A013277 %O A013277 0,2 %K A013277 sign,done %A A013277 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013278 %S A013278 1,3,6,15,150,1575,12600,101115,1103760,14708925,198336600, %T A013278 2783105325,43768604880,754367488875,13648397162400,262037979177975, %U A013278 5424089927256000,118958487086664225,2722218065427861000 %V A013278 -1,3,-6,15,-150,1575,-12600,101115,-1103760,14708925,-198336600, %W A013278 2783105325,-43768604880,754367488875,-13648397162400, %X A013278 262037979177975,-5424089927256000,118958487086664225 %N A013278 arctanh(log(x+1)-arcsinh(x))=-1/2!*x^2+3/3!*x^3-6/4!*x^4+15/5!*x^5... %R A013278 %O A013278 0,2 %K A013278 sign,done %A A013278 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013279 %S A013279 1,0,0,0,3,30,180,945,7245,79380,822150,7952175,92151675,1325674350, %T A013279 19070251200,264982843125,4134370865625,74940979113000, %U A013279 1376877670418250,24833523534694875,487380405271134375 %V A013279 1,0,0,0,3,-30,180,-945,7245,-79380,822150,-7952175,92151675, %W A013279 -1325674350,19070251200,-264982843125,4134370865625,-74940979113000, %X A013279 1376877670418250,-24833523534694875,487380405271134375 %N A013279 cosh(log(x+1)-arcsinh(x))=1+3/4!*x^4-30/5!*x^5+180/6!*x^6-945/7!*x^7... %R A013279 %O A013279 0,5 %K A013279 sign,done %A A013279 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013280 %S A013280 1,0,0,0,3,30,180,945,7665,94500,1124550,12525975,156808575, %T A013280 2347294950,37345908600,602685208125,10429905110625,198454585329000, %U A013280 3981241066052250,82461126798925875,1803143203425939375 %V A013280 1,0,0,0,3,-30,180,-945,7665,-94500,1124550,-12525975,156808575, %W A013280 -2347294950,37345908600,-602685208125,10429905110625, %X A013280 -198454585329000,3981241066052250,-82461126798925875 %N A013280 sec(log(x+1)-arcsinh(x))=1+3/4!*x^4-30/5!*x^5+180/6!*x^6-945/7!*x^7... %R A013280 %O A013280 0,5 %K A013280 sign,done %A A013280 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013281 %S A013281 1,0,0,0,3,30,180,945,6615,56700,368550,1091475,3274425,85135050, %T A013281 3235131900,86199238125,1340238524625,15196606425000,229968074085750, %U A013281 4642248475990125,57810007510880625,24556956152478750 %V A013281 1,0,0,0,-3,30,-180,945,-6615,56700,-368550,1091475,3274425, %W A013281 -85135050,3235131900,-86199238125,1340238524625,-15196606425000, %X A013281 229968074085750,-4642248475990125,57810007510880625 %N A013281 sech(log(x+1)-arcsinh(x))=1-3/4!*x^4+30/5!*x^5-180/6!*x^6+945/7!*x^7... %R A013281 %O A013281 0,5 %K A013281 sign,done %A A013281 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013282 %S A013282 1,4,6,8,105,572,700,18800,50715,903388,31286574,466481992, %T A013282 5285891611,81297834980,1566498967800,27364241296480,457841251437399, %U A013282 8635414723705660,179513823574755490,3746483398412176664 %V A013282 -1,4,-6,8,-105,572,700,-18800,50715,-903388,31286574,-466481992, %W A013282 5285891611,-81297834980,1566498967800,-27364241296480, %X A013282 457841251437399,-8635414723705660,179513823574755490 %N A013282 sin(log(x+1)-tanh(x))=-1/2!*x^2+4/3!*x^3-6/4!*x^4+8/5!*x^5... %R A013282 %O A013282 0,2 %K A013282 sign,done %A A013282 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013283 %S A013283 1,4,6,8,135,1412,10780,83568,785925,9561572,136414674,1991159480, %T A013283 29164986851,458554425604,8138629332600,159215259140448, %U A013283 3271030693830729,69435969035174084,1547185890768782110 %V A013283 -1,4,-6,8,-135,1412,-10780,83568,-785925,9561572,-136414674, %W A013283 1991159480,-29164986851,458554425604,-8138629332600, %X A013283 159215259140448,-3271030693830729,69435969035174084 %N A013283 arcsin(log(x+1)-tanh(x))=-1/2!*x^2+4/3!*x^3-6/4!*x^4+8/5!*x^5... %R A013283 %O A013283 0,2 %K A013283 sign,done %A A013283 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013284 %S A013284 1,4,6,8,150,1832,16520,134752,1207080,15001952,227853648,3403403456, %T A013284 49799942192,785688306496,14001828147840,271414904202752, %U A013284 5476099665426048,114256690024953344,2506464470623466240 %V A013284 -1,4,-6,8,-150,1832,-16520,134752,-1207080,15001952,-227853648, %W A013284 3403403456,-49799942192,785688306496,-14001828147840, %X A013284 271414904202752,-5476099665426048,114256690024953344 %N A013284 tan(log(x+1)-tanh(x))=-1/2!*x^2+4/3!*x^3-6/4!*x^4+8/5!*x^5... %R A013284 %O A013284 0,2 %K A013284 sign,done %A A013284 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013285 %S A013285 1,4,6,8,90,152,6440,69984,443520,4264768,46842048,44493568, %T A013285 8172692528,163418763328,2660756991360,48794732729856, %U A013285 721585374360192,4596412549813760,89745640000513280 %V A013285 -1,4,-6,8,-90,152,6440,-69984,443520,-4264768,46842048,-44493568, %W A013285 -8172692528,163418763328,-2660756991360,48794732729856, %X A013285 -721585374360192,4596412549813760,89745640000513280 %N A013285 arctan(log(x+1)-tanh(x))=-1/2!*x^2+4/3!*x^3-6/4!*x^4+8/5!*x^5... %R A013285 %O A013285 0,2 %K A013285 sign,done %A A013285 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013286 %S A013286 1,0,0,0,3,40,250,1008,6307,77040,742524,5642560,56921887,809088696, %T A013286 10450329838,122609052720,1712600698983,28629942196960, %U A013286 466274068556152,7411488125575680,130844029905109723 %V A013286 1,0,0,0,-3,40,-250,1008,-6307,77040,-742524,5642560,-56921887, %W A013286 809088696,-10450329838,122609052720,-1712600698983,28629942196960, %X A013286 -466274068556152,7411488125575680,-130844029905109723 %N A013286 cos(log(x+1)-tanh(x))=1-3/4!*x^4+40/5!*x^5-250/6!*x^6+1008/7!*x^7... %R A013286 %O A013286 0,5 %K A013286 sign,done %A A013286 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013287 %S A013287 1,4,6,8,135,1412,10780,83568,778365,9007172,116179074,1502030840, %T A013287 20018889891,298432864004,4913874359160,84111227898208, %U A013287 1492133395973049,28208790397251716,568110070842919230 %V A013287 -1,4,-6,8,-135,1412,-10780,83568,-778365,9007172,-116179074, %W A013287 1502030840,-20018889891,298432864004,-4913874359160,84111227898208, %X A013287 -1492133395973049,28208790397251716,-568110070842919230 %N A013287 sinh(log(x+1)-tanh(x))=-1/2!*x^2+4/3!*x^3-6/4!*x^4+8/5!*x^5... %R A013287 %O A013287 0,2 %K A013287 sign,done %A A013287 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013288 %S A013288 1,4,6,8,105,572,700,18800,43155,348988,11050974,22646648,3799664869, %T A013288 70348059420,1064959301640,20100827554720,347358967505721, %U A013288 3994110465051908,23620965746527550,181317478589886104 %V A013288 -1,4,-6,8,-105,572,700,-18800,43155,-348988,11050974,22646648, %W A013288 -3799664869,70348059420,-1064959301640,20100827554720, %X A013288 -347358967505721,3994110465051908,-23620965746527550 %N A013288 arcsinh(log(x+1)-tanh(x))=-1/2!*x^2+4/3!*x^3-6/4!*x^4+8/5!*x^5... %R A013288 %O A013288 0,2 %K A013288 sign,done %A A013288 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013289 %S A013289 1,4,6,8,90,152,6440,69984,451080,4819168,67077648,533622208, %T A013289 882593712,16010702528,325947073920,15149145074176,402497641556352, %U A013289 6097893929134592,75930618112953600,1338998058465717248 %V A013289 -1,4,-6,8,-90,152,6440,-69984,451080,-4819168,67077648,-533622208, %W A013289 882593712,16010702528,-325947073920,15149145074176,-402497641556352, %X A013289 6097893929134592,-75930618112953600,1338998058465717248 %N A013289 tanh(log(x+1)-tanh(x))=-1/2!*x^2+4/3!*x^3-6/4!*x^4+8/5!*x^5... %R A013289 %O A013289 0,2 %K A013289 sign,done %A A013289 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013290 %S A013290 1,4,6,8,150,1832,16520,134752,1214640,15556352,248089248,3892532096, %T A013290 58976309392,950047701696,17523231473280,360338416640512, %U A013290 7742581556059008,169950515543962112,3892670273719159040 %V A013290 -1,4,-6,8,-150,1832,-16520,134752,-1214640,15556352,-248089248, %W A013290 3892532096,-58976309392,950047701696,-17523231473280, %X A013290 360338416640512,-7742581556059008,169950515543962112 %N A013290 arctanh(log(x+1)-tanh(x))=-1/2!*x^2+4/3!*x^3-6/4!*x^4+8/5!*x^5... %R A013290 %O A013290 0,2 %K A013290 sign,done %A A013290 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013291 %S A013291 1,0,0,0,3,40,250,1008,6517,87120,981924,9387840,103808727, %T A013291 1434810936,20930063102,308368386480,4838631496873,82524970065824, %U A013291 1497919608463368,28494789851849472,568078461069883755 %V A013291 1,0,0,0,3,-40,250,-1008,6517,-87120,981924,-9387840,103808727, %W A013291 -1434810936,20930063102,-308368386480,4838631496873,-82524970065824, %X A013291 1497919608463368,-28494789851849472,568078461069883755 %N A013291 cosh(log(x+1)-tanh(x))=1+3/4!*x^4-40/5!*x^5+250/6!*x^6-1008/7!*x^7... %R A013291 %O A013291 0,5 %K A013291 sign,done %A A013291 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013292 %S A013292 1,0,0,0,3,40,250,1008,6937,107280,1460724,16878400,198206107, %T A013292 2751120216,45257093830,796023874800,14139937791153,259510939790752, %U A013292 5134675490787400,109869768885171456,2476637840019592819 %V A013292 1,0,0,0,3,-40,250,-1008,6937,-107280,1460724,-16878400,198206107, %W A013292 -2751120216,45257093830,-796023874800,14139937791153, %X A013292 -259510939790752,5134675490787400,-109869768885171456 %N A013292 sec(log(x+1)-tanh(x))=1+3/4!*x^4-40/5!*x^5+250/6!*x^6-1008/7!*x^7... %R A013292 %O A013292 0,5 %K A013292 sign,done %A A013292 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013293 %S A013293 1,0,0,0,3,40,250,1008,5887,56880,263724,1848000,36228093,377490984, %T A013293 7141572490,132772794000,1495810787297,10978685025568, %U A013293 115616765332680,1113424428155904,36631866029794659 %V A013293 1,0,0,0,-3,40,-250,1008,-5887,56880,-263724,-1848000,36228093, %W A013293 -377490984,7141572490,-132772794000,1495810787297,-10978685025568, %X A013293 115616765332680,-1113424428155904,-36631866029794659 %N A013293 sech(log(x+1)-tanh(x))=1-3/4!*x^4+40/5!*x^5-250/6!*x^6+1008/7!*x^7... %R A013293 %O A013293 0,5 %K A013293 sign,done %A A013293 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013294 %S A013294 1,6,105,3780,231525,21517650,2810132325,487540053000, %T A013294 107478429683625,28959878236038750,9172717463134850625, %U A013294 3251808972997572487500,1181538736415476892578125 %N A013294 sin(log(x+1)-arctanh(x))=-1/2!*x^2-6/4!*x^4-105/6!*x^6-3780/8!*x^8... %R A013294 %O A013294 0,2 %K A013294 sign,done %A A013294 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013295 %S A013295 1,6,135,6300,503685,61434450,10620124515,2471073204600, %T A013295 744907219281225,282494651079390750,131664032748125452575, %U A013295 73997676994079578439700,49364071776588936300058125 %N A013295 arcsin(log(x+1)-arctanh(x))=-1/2!*x^2-6/4!*x^4-135/6!*x^6-6300/8!*x^8... %R A013295 %O A013295 0,2 %K A013295 sign,done %A A013295 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013296 %S A013296 1,6,150,7560,642600,82328400,14799985200,3550699152000, %T A013296 1095489931536000,422416533258720000,199001229578030880000, %U A013296 112442434205652270720000,75042084306026165328000000 %N A013296 tan(log(x+1)-arctanh(x))=-1/2!*x^2-6/4!*x^4-150/6!*x^6-7560/8!*x^8... %R A013296 %O A013296 0,2 %K A013296 sign,done %A A013296 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013297 %S A013297 1,6,90,2520,120960,9979200,1377295920,285145660800,78922558915200, %T A013297 27250976424672000,11359413770434329600,5628391828843104921600, %U A013297 3284252230408078849920000,2238997166752030045320960000 %N A013297 arctan(log(x+1)-atanh(x))=-1/2!*x^2-6/4!*x^4-90/6!*x^6-2520/8!*x^8... %R A013297 %O A013297 0,2 %K A013297 sign,done %A A013297 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013298 %S A013298 1,0,3,90,4515,359100,42047775,6839182350,1478380278375, %T A013298 410407616619000,142401495047686875,60416785362985301250, %U A013298 30781865895322663996875,18550414761518537710312500 %V A013298 1,0,-3,-90,-4515,-359100,-42047775,-6839182350,-1478380278375, %W A013298 -410407616619000,-142401495047686875,-60416785362985301250, %X A013298 -30781865895322663996875,-18550414761518537710312500 %N A013298 cos(log(x+1)-arctanh(x))=1-3/4!*x^4-90/6!*x^6-4515/8!*x^8... %R A013298 %O A013298 0,3 %K A013298 sign,done %A A013298 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013299 %S A013299 1,6,135,6300,496125,58939650,9833098275,2191376187000, %T A013299 628651043645625,225615874552818750,99022807341232149375, %U A013299 52176017395434685252500,32501310835906189355203125 %N A013299 sinh(log(x+1)-arctanh(x))=-1/2!*x^2-6/4!*x^4-135/6!*x^6-6300/8!*x^8... %R A013299 %O A013299 0,2 %K A013299 sign,done %A A013299 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013300 %S A013300 1,6,105,3780,239085,24012450,3536618085,716383067400, %T A013300 190018401197625,63663766667250750,26240058743733259425, %U A013300 13041458355044952132300,7692606854418016599193125 %N A013300 arcsinh(log(x+1)-arctanh(x))=-1/2!*x^2-6/4!*x^4-105/6!*x^6-3780/8!*x^8... %R A013300 %O A013300 0,2 %K A013300 sign,done %A A013300 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013301 %S A013301 1,6,150,7560,650160,84823200,15617281680,3855823171200, %T A013301 1229340262550400,491641405006752000,241000527467642342400, %U A013301 142107676844443620710400,99236357585615999548800000 %N A013301 arctanh(log(x+1)-atanh(x))=-1/2!*x^2-6/4!*x^4-150/6!*x^6-7560/8!*x^8... %R A013301 %O A013301 0,2 %K A013301 sign,done %A A013301 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013302 %S A013302 1,0,3,90,4725,396900,49116375,8428369950,1917454163625, %T A013302 558800927685000,203054287097536875,90020733946574681250, %U A013302 47828015945815128148125,30001210002374944020187500 %N A013302 cosh(log(x+1)-arctanh(x))=1+3/4!*x^4+90/6!*x^6+4725/8!*x^8... %R A013302 %O A013302 0,3 %K A013302 nonn %A A013302 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013303 %S A013303 1,0,3,90,5145,472500,63877275,11947285350,2955047720625, %T A013303 934039255149000,367306824871861875,175873128591661751250, %U A013303 100738594342264429175625,68014527663768884135437500 %N A013303 sec(log(x+1)-arctanh(x))=1+3/4!*x^4+90/6!*x^6+5145/8!*x^8... %R A013303 %O A013303 0,3 %K A013303 nonn %A A013303 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013304 %S A013304 1,0,3,90,4095,283500,28534275,4001347350,754083705375, %T A013304 185224922883000,57754322803051875,22343321962162451250, %U A013304 10514758311176393649375,5917397284663573271062500 %V A013304 1,0,-3,-90,-4095,-283500,-28534275,-4001347350,-754083705375, %W A013304 -185224922883000,-57754322803051875,-22343321962162451250, %X A013304 -10514758311176393649375,-5917397284663573271062500 %N A013304 sech(log(x+1)-arctanh(x))=1-3/4!*x^4-90/6!*x^6-4095/8!*x^8... %R A013304 %O A013304 0,3 %K A013304 sign,done %A A013304 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013305 %S A013305 1,6,0,0,0,259,19,10,459,164087,8681,100422,76212,5378802,39034164, %T A013305 179672159,4829750225,6386525014044,433950503293,5980728715903, %U A013305 10978530244761,574256516189624094,8612076567202811 %V A013305 1,6,-0,-0,-0,259,19,-10,-459,-164087,8681,100422,76212,-5378802, %W A013305 -39034164,179672159,4829750225,6386525014044,-433950503293, %X A013305 -5980728715903,10978530244761,574256516189624094,8612076567202811 %N A013305 arccosh(exp(x)-sin(x))=x+6/2!*x^2+259/6!*x^6+19/7!*x^7-10/8!*x^8... %R A013305 %O A013305 0,2 %K A013305 sign,done %A A013305 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013306 %S A013306 1,0,0,40,0,24,11,978,1075,65988,114353,1166448127,16834798, %T A013306 1029593400,3261620542,60027645728986,815210141013,54483621856324, %U A013306 256160124601270,18024847581999163,99055406695733557 %V A013306 1,0,0,-40,0,-24,-11,-978,-1075,-65988,-114353,-1166448127,-16834798, %W A013306 -1029593400,-3261620542,-60027645728986,-815210141013, %X A013306 -54483621856324,-256160124601270,-18024847581999163 %N A013306 arccosh(exp(x)-arcsin(x))=x-40/4!*x^4-24/6!*x^6-11/7!*x^7-978/8!*x^8... %R A013306 %O A013306 0,4 %K A013306 sign,done %A A013306 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013307 %S A013307 1,3,0,2,2,1449,86,836,4090,4886365,283326,3045505,27750409, %T A013307 331219040,3697067940,49297797997,648336489860,3480721968950673, %U A013307 145480267387444,2401255760325302,40783079022646559 %V A013307 1,-3,-0,-2,-2,-1449,-86,-836,-4090,-4886365,-283326,-3045505, %W A013307 -27750409,-331219040,-3697067940,-49297797997,-648336489860, %X A013307 -3480721968950673,-145480267387444,-2401255760325302 %N A013307 arccosh(exp(x)-tan(x))=x-3/2!*x^2-2/4!*x^4-2/5!*x^5-1449/6!*x^6... %R A013307 %O A013307 0,2 %K A013307 sign,done %A A013307 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013308 %S A013308 1,1,0,125,6,93,160,3628,7357,244017,570527,4280249129,67618435, %T A013308 3761923671,11398959497,219089649286489,2589149893832, %U A013308 199163906641913,760430093343631,66137061175716234 %V A013308 1,1,-0,-125,6,93,-160,-3628,7357,244017,-570527,-4280249129, %W A013308 67618435,3761923671,-11398959497,-219089649286489,2589149893832, %X A013308 199163906641913,-760430093343631,-66137061175716234 %N A013308 arccosh(exp(x)-arctan(x))=x+1/2!*x^2-125/4!*x^4+6/5!*x^5+93/6!*x^6... %R A013308 %O A013308 0,4 %K A013308 sign,done %A A013308 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013309 %S A013309 1,1,3,8,29,112,489,2326,11937,65856,386561,2406230,15805473, %T A013309 109131128,789751577,5972149246,47079466913,386051624736, %U A013309 3286313327105,28991306290278,264621015301489,2495440610319944 %N A013309 exp(exp(x)-cos(x))=1+x+3/2!*x^2+8/3!*x^3+29/4!*x^4+112/5!*x^5... %R A013309 %O A013309 0,3 %K A013309 nonn %A A013309 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013310 %S A013310 1,2,0,12,68,208,56,3472,26272,119072,234432,1600896,22177088, %T A013310 159056896,769693952,1571891456,16806915328,276758503424, %U A013310 2610810796032,18627861722112,94941413343232,121510785658880 %V A013310 1,2,0,-12,-68,-208,-56,3472,26272,119072,234432,-1600896,-22177088, %W A013310 -159056896,-769693952,-1571891456,16806915328,276758503424, %X A013310 2610810796032,18627861722112,94941413343232,121510785658880 %N A013310 sin(exp(x)-cos(x))=x+2/2!*x^2-12/4!*x^4-68/5!*x^5-208/6!*x^6... %R A013310 %O A013310 0,2 %K A013310 sign,done %A A013310 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013311 %S A013311 1,2,2,12,80,512,4832,53872,654320,9264032,147228512,2559080832, %T A013311 48910122560,1017566317952,22822627908992,550081215323392, %U A013311 14178080204748800,388900281882678272,11314716065658294272 %N A013311 arcsin(exp(x)-cos(x))=x+2/2!*x^2+2/3!*x^3+12/4!*x^4+80/5!*x^5... %R A013311 %O A013311 0,2 %K A013311 nonn %A A013311 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013312 %S A013312 1,2,3,24,157,962,8575,88816,948025,11551682,158525499,2329270152, %T A013312 37012621141,638280394754,11767984017847,230953513192672, %U A013312 4823470878737521,106685348433700994,2489115873636707187 %N A013312 tan(exp(x)-cos(x))=x+2/2!*x^2+3/3!*x^3+24/4!*x^4+157/5!*x^5... %R A013312 %O A013312 0,2 %K A013312 nonn %A A013312 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013313 %S A013313 1,2,1,24,115,242,9179,65296,366535,14288158,124059241,1440362616, %T A013313 57563571845,541440703442,11649746422861,473630058916064, %U A013313 4395343414984975,168230486159471042,6900858895525510319 %V A013313 1,2,-1,-24,-115,242,9179,65296,-366535,-14288158,-124059241, %W A013313 1440362616,57563571845,541440703442,-11649746422861, %X A013313 -473630058916064,-4395343414984975,168230486159471042 %N A013313 arctan(exp(x)-cos(x))=x+2/2!*x^2-1/3!*x^3-24/4!*x^4-115/5!*x^5... %R A013313 %O A013313 0,2 %K A013313 sign,done %A A013313 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013314 %S A013314 1,0,1,6,15,0,183,1162,4305,4032,75169,720390,4057119,13316160, %T A013314 17994039,691795018,6706003809,45159313536,210202685567,247239745914, %U A013314 8759676926319,137896385117568,1415069646671241,11320505296471670 %V A013314 1,0,-1,-6,-15,0,183,1162,4305,4032,-75169,-720390,-4057119, %W A013314 -13316160,17994039,691795018,6706003809,45159313536,210202685567, %X A013314 247239745914,-8759676926319,-137896385117568,-1415069646671241 %N A013314 cos(exp(x)-cos(x))=1-1/2!*x^2-6/3!*x^3-15/4!*x^4+183/6!*x^6... %R A013314 %O A013314 0,4 %K A013314 sign,done %A A013314 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013315 %S A013315 1,2,2,12,72,272,968,5488,36144,204512,1135840,7577856,56287168, %T A013315 406104064,2933384704,23084016896,194919700480,1664627753984, %U A013315 14417113925632,131148402111488,1251412558922752,12211894620549120 %N A013315 sinh(exp(x)-cos(x))=x+2/2!*x^2+2/3!*x^3+12/4!*x^4+72/5!*x^5... %R A013315 %O A013315 0,2 %K A013315 nonn %A A013315 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013316 %S A013316 1,2,0,12,60,32,3360,26768,70560,4368928,44014080,286606848, %T A013316 15535016640,175871587712,2270496184320,116296341590272, %U A013316 1366735787784960,31677729930493952,1572363556732784640 %V A013316 1,2,0,-12,-60,32,3360,26768,-70560,-4368928,-44014080,286606848, %W A013316 15535016640,175871587712,-2270496184320,-116296341590272, %X A013316 -1366735787784960,31677729930493952,1572363556732784640 %N A013316 arcsinh(exp(x)-cos(x))=x+2/2!*x^2-12/4!*x^4-60/5!*x^5+32/6!*x^6... %R A013316 %O A013316 0,2 %K A013316 sign,done %A A013316 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013317 %S A013317 1,2,1,24,123,2,5987,54544,66441,4948798,71261177,226393992, %T A013317 9534896269,201964922434,1166083278955,34861258001632, %U A013317 1052810665903343,9456771887276926,211545075206125327 %V A013317 1,2,-1,-24,-123,2,5987,54544,66441,-4948798,-71261177,-226393992, %W A013317 9534896269,201964922434,1166083278955,-34861258001632, %X A013317 -1052810665903343,-9456771887276926,211545075206125327 %N A013317 tanh(exp(x)-cos(x))=x+2/2!*x^2-1/3!*x^3-24/4!*x^4-123/5!*x^5... %R A013317 %O A013317 0,2 %K A013317 sign,done %A A013317 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013318 %S A013318 1,2,3,24,165,1202,12663,149744,1945065,29307362,489387723, %T A013318 8915702664,178036818765,3852374482322,89628609049983, %U A013318 2235770536642784,59498096957789265,1681835781220294082 %N A013318 arctanh(exp(x)-cos(x))=x+2/2!*x^2+3/3!*x^3+24/4!*x^4+165/5!*x^5... %R A013318 %O A013318 0,2 %K A013318 nonn %A A013318 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013319 %S A013319 1,0,1,6,17,40,217,1358,6449,29712,182049,1270390,8227617,52843960, %T A013319 383647513,3038764542,23995450017,191131924256,1621685573121, %U A013319 14574192364646,133472613190001,1244028051397192,12068806481240601 %N A013319 cosh(exp(x)-cos(x))=1+1/2!*x^2+6/3!*x^3+17/4!*x^4+40/5!*x^5... %R A013319 %O A013319 0,4 %K A013319 nonn %A A013319 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013320 %S A013320 1,0,1,6,21,120,1077,8918,83097,952560,11790649,156839430,2318954253, %T A013320 37207496040,637980683277,11745733936022,231142374081009, %U A013320 4825295491430880,106636356923768497,2489165244414184326 %N A013320 sec(exp(x)-cos(x))=1+1/2!*x^2+6/3!*x^3+21/4!*x^4+120/5!*x^5... %R A013320 %O A013320 0,4 %K A013320 nonn %A A013320 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013321 %S A013321 1,0,1,6,11,80,923,3682,26567,585120,3969849,24427370,948294477, %T A013321 9793100720,42570639997,3129194240622,45887540775759,90022891149760, %U A013321 18204741288946383,363299569735984474,336401983817051365 %V A013321 1,0,-1,-6,-11,80,923,3682,-26567,-585120,-3969849,24427370, %W A013321 948294477,9793100720,-42570639997,-3129194240622,-45887540775759, %X A013321 90022891149760,18204741288946383,363299569735984474 %N A013321 sech(exp(x)-cos(x))=1-1/2!*x^2-6/3!*x^3-11/4!*x^4+80/5!*x^5... %R A013321 %O A013321 0,4 %K A013321 sign,done %A A013321 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013323 %S A013323 1,6,0,60,1,1827,35,1268,1783,9484409,156124,1301029639,20159833, %T A013323 1098851206,3563459856,61962034868959,826117440828,19760901438223627, %U A013323 243670066891232,17702043804166277,89261162046208463 %V A013323 1,6,-0,-60,1,1827,-35,-1268,1783,9484409,-156124,-1301029639, %W A013323 20159833,1098851206,-3563459856,-61962034868959,826117440828, %X A013323 19760901438223627,-243670066891232,-17702043804166277 %N A013323 arccosh(exp(x)-arcsinh(x))=x+6/2!*x^2-60/4!*x^4+1/5!*x^5+1827/6!*x^6... %R A013323 %O A013323 0,2 %K A013323 sign,done %A A013323 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013324 %S A013324 1,1,0,3,2,39,12,795,2196,21086,171233,382026,13372632,50098802, %T A013324 999044975,13582274951,35682532117,2564800895679,15018025447481, %U A013324 416995688311441,7282021921285557,41937625525462640 %V A013324 1,1,-0,-3,2,39,12,-795,-2196,21086,171233,-382026,-13372632, %W A013324 -50098802,999044975,13582274951,-35682532117,-2564800895679, %X A013324 -15018025447481,416995688311441,7282021921285557,-41937625525462640 %N A013324 arccosh(exp(x)-tanh(x))=x+1/2!*x^2-3/4!*x^4+2/5!*x^5+39/6!*x^6... %R A013324 %O A013324 0,4 %K A013324 sign,done %A A013324 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013325 %S A013325 1,3,0,95,3,4291,218,4242,17823,42231211,2140270,7425876562, %T A013325 361056734,7858618084,81925159221,548243929304199,24146972757414, %U A013325 214797653734200330,8988559312925783,235469530907121976 %V A013325 1,-3,-0,-95,-3,-4291,-218,-4242,-17823,-42231211,-2140270, %W A013325 -7425876562,-361056734,-7858618084,-81925159221,-548243929304199, %X A013325 -24146972757414,-214797653734200330,-8988559312925783 %N A013325 arccosh(exp(x)-arctanh(x))=x-3/2!*x^2-95/4!*x^4-3/5!*x^5-4291/6!*x^6... %R A013325 %O A013325 0,2 %K A013325 sign,done %A A013325 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013327 %S A013327 1,1,1,2,1,8,83,572,3447,21672,123111,737240,3483619,13031484, %T A013327 70815357,2064032844,35771746481,493920403632,6641490804273, %U A013327 85856649793936,1103675761610485,14215393325698588 %V A013327 1,1,1,2,1,-8,-83,-572,-3447,-21672,-123111,-737240,-3483619, %W A013327 -13031484,70815357,2064032844,35771746481,493920403632, %X A013327 6641490804273,85856649793936,1103675761610485,14215393325698588 %N A013327 exp(exp(x)-sec(x))=1+x+1/2!*x^2+2/3!*x^3+1/4!*x^4-8/5!*x^5... %R A013327 %O A013327 0,4 %K A013327 sign,done %A A013327 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013328 %S A013328 1,0,0,4,8,0,56,1136,4976,47040,541728,2460416,51170624,202185984, %T A013328 5359238912,20705351936,673408564736,2215089472512,100278515381760, %U A013328 202372883465216,17008883052323840,3240542875570176 %V A013328 1,0,0,-4,-8,0,-56,1136,-4976,47040,-541728,2460416,-51170624, %W A013328 202185984,-5359238912,20705351936,-673408564736,2215089472512, %X A013328 -100278515381760,202372883465216,-17008883052323840 %N A013328 sin(exp(x)-sec(x))=x-4/4!*x^4-8/5!*x^5-56/7!*x^7+1136/8!*x^8... %R A013328 %O A013328 0,4 %K A013328 sign,done %A A013328 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013329 %S A013329 1,0,2,4,20,120,632,6704,44480,630240,5566112,91544704,1063375040, %T A013329 19258162560,283305867392,5578129589504,99671066259200, %U A013329 2135174387566080,44678363702761472,1044242762736047104 %V A013329 1,0,2,-4,20,-120,632,-6704,44480,-630240,5566112,-91544704, %W A013329 1063375040,-19258162560,283305867392,-5578129589504,99671066259200, %X A013329 -2135174387566080,44678363702761472,-1044242762736047104 %N A013329 arcsin(exp(x)-sec(x))=x+2/3!*x^3-4/4!*x^4+20/5!*x^5-120/6!*x^6... %R A013329 %O A013329 0,3 %K A013329 sign,done %A A013329 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013330 %S A013330 1,0,3,4,37,180,1015,11464,57961,1001640,6231819,117917644, %T A013330 1041455053,18546221148,232421139007,3887058864784,64390950162769, %U A013330 1075269065795664,21514220038798995,383113444907091604 %V A013330 1,0,3,-4,37,-180,1015,-11464,57961,-1001640,6231819,-117917644, %W A013330 1041455053,-18546221148,232421139007,-3887058864784,64390950162769, %X A013330 -1075269065795664,21514220038798995,-383113444907091604 %N A013330 tan(exp(x)-sec(x))=x+3/3!*x^3-4/4!*x^4+37/5!*x^5-180/6!*x^6... %R A013330 %O A013330 0,3 %K A013330 sign,done %A A013330 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013331 %S A013331 1,0,1,4,5,60,61,2504,8695,100920,873479,6889804,142058995,4843020, %T A013331 19728547019,98903242096,3531831462895,49401992303760, %U A013331 493517141932559,17048746833049196,29344831492412395 %V A013331 1,0,-1,-4,5,60,-61,-2504,-8695,100920,873479,-6889804,-142058995, %W A013331 -4843020,19728547019,98903242096,-3531831462895,-49401992303760, %X A013331 493517141932559,17048746833049196,-29344831492412395 %N A013331 arctan(exp(x)-sec(x))=x-1/3!*x^3-4/4!*x^4+5/5!*x^5+60/6!*x^6... %R A013331 %O A013331 0,4 %K A013331 sign,done %A A013331 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013332 %S A013332 1,0,1,0,3,20,3,420,343,8424,22249,260040,239547,10498748,94138107, %T A013332 147119700,19810696721,201766341168,3757708820591,61124264974704, %U A013332 781479753273933,16996638107062684,181893072331819827 %V A013332 1,0,-1,0,-3,20,3,420,-343,8424,-22249,260040,-239547,10498748, %W A013332 94138107,-147119700,19810696721,-201766341168,3757708820591, %X A013332 -61124264974704,781479753273933,-16996638107062684 %N A013332 cos(exp(x)-sec(x))=1-1/2!*x^2-3/4!*x^4+20/5!*x^5+3/6!*x^6... %R A013332 %O A013332 0,5 %K A013332 sign,done %A A013332 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013333 %S A013333 1,0,2,4,12,120,128,4464,6912,206880,776800,12788224,95713984, %T A013333 1101528064,13091780224,133871961344,2061579919104,22144979338752, %U A013333 381671021731840,4690276122840064,83860033272100864 %V A013333 1,0,2,-4,12,-120,128,-4464,6912,-206880,776800,-12788224,95713984, %W A013333 -1101528064,13091780224,-133871961344,2061579919104,-22144979338752, %X A013333 381671021731840,-4690276122840064,83860033272100864 %N A013333 sinh(exp(x)-sec(x))=x+2/3!*x^3-4/4!*x^4+12/5!*x^5-120/6!*x^6... %R A013333 %O A013333 0,3 %K A013333 sign,done %A A013333 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013334 %S A013334 1,0,0,4,0,0,0,1104,5040,0,184800,1784704,39948480,201801600, %T A013334 2969366400,24788541696,621491320320,12903078988800,20131497484800, %U A013334 2944178363780096,8434762785469440,1051002016730265600 %V A013334 1,0,0,-4,0,0,0,-1104,-5040,0,184800,-1784704,-39948480,-201801600, %W A013334 2969366400,24788541696,-621491320320,-12903078988800, %X A013334 20131497484800,2944178363780096,8434762785469440 %N A013334 arcsinh(exp(x)-sec(x))=x-4/4!*x^4-1104/8!*x^8-5040/9!*x^9... %R A013334 %O A013334 0,4 %K A013334 sign,done %A A013334 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013335 %S A013335 1,0,1,4,3,60,107,264,11175,40200,142903,2392436,8175637,327277132, %T A013335 3256146845,19824913424,184016913969,1628105059824,33266797736465, %U A013335 1067099983418644,14633634217342547,39212918007355092 %V A013335 1,0,-1,-4,-3,60,107,-264,-11175,-40200,142903,2392436,8175637, %W A013335 -327277132,-3256146845,-19824913424,184016913969,1628105059824, %X A013335 -33266797736465,-1067099983418644,-14633634217342547 %N A013335 tanh(exp(x)-sec(x))=x-1/3!*x^3-4/4!*x^4-3/5!*x^5+60/6!*x^6... %R A013335 %O A013335 0,4 %K A013335 sign,done %A A013335 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013336 %S A013336 1,0,3,4,45,180,1743,13704,135705,1613160,18065883,276222604, %T A013336 3655783365,65652672540,1034667581223,20865280018704,387014665823025, %U A013336 8593188683674320,184059142857923763,4464138375366282004 %V A013336 1,0,3,-4,45,-180,1743,-13704,135705,-1613160,18065883,-276222604, %W A013336 3655783365,-65652672540,1034667581223,-20865280018704, %X A013336 387014665823025,-8593188683674320,184059142857923763 %N A013336 arctanh(exp(x)-sec(x))=x+3/3!*x^3-4/4!*x^4+45/5!*x^5-180/6!*x^6... %R A013336 %O A013336 0,3 %K A013336 sign,done %A A013336 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013337 %S A013337 1,0,1,0,5,20,37,700,1017,28584,83769,1514040,9304605,108745468, %T A013337 1172343421,11027747380,169643707825,1567659515472,28786470143025, %U A013337 295814371937904,5793951884450549,69644639946402276 %V A013337 1,0,1,0,5,-20,37,-700,1017,-28584,83769,-1514040,9304605,-108745468, %W A013337 1172343421,-11027747380,169643707825,-1567659515472,28786470143025, %X A013337 -295814371937904,5793951884450549,-69644639946402276 %N A013337 cosh(exp(x)-sec(x))=1+1/2!*x^2+5/4!*x^4-20/5!*x^5+37/6!*x^6... %R A013337 %O A013337 0,5 %K A013337 sign,done %A A013337 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013338 %S A013338 1,0,1,0,9,20,177,1260,7105,99144,564049,10278840,77134761, %T A013338 1412196188,15082747617,257693157540,3771722331457,62330454304272, %U A013338 1150241027577697,19671866661968880,420212562193269513 %V A013338 1,0,1,0,9,-20,177,-1260,7105,-99144,564049,-10278840,77134761, %W A013338 -1412196188,15082747617,-257693157540,3771722331457,-62330454304272, %X A013338 1150241027577697,-19671866661968880,420212562193269513 %N A013338 sec(exp(x)-sec(x))=1+1/2!*x^2+9/4!*x^4-20/5!*x^5+177/6!*x^6... %R A013338 %O A013338 0,5 %K A013338 sign,done %A A013338 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013339 %S A013339 1,0,1,0,1,20,23,140,975,1656,74751,365640,1284369,26269412, %T A013339 120532297,1518753340,37230940193,312855107472,1646816770497, %U A013339 37424409392880,167334452580383,9798194248744356,166392976274924439 %V A013339 1,0,-1,0,1,20,23,-140,-975,-1656,74751,365640,1284369,-26269412, %W A013339 -120532297,1518753340,37230940193,312855107472,-1646816770497, %X A013339 -37424409392880,-167334452580383,9798194248744356 %N A013339 sech(exp(x)-sec(x))=1-1/2!*x^2+1/4!*x^4+20/5!*x^5+23/6!*x^6... %R A013339 %O A013339 0,6 %K A013339 sign,done %A A013339 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013340 %S A013340 1,2,3,20,165,1142,10983,136040,1753545,25376042,422373963, %T A013340 7641560060,149590274925,3195495898142,73536613981743, %U A013340 1808159717424080,47465557573756305,1324783497842287442 %N A013340 arctanh(exp(x)-sech(x))=x+2/2!*x^2+3/3!*x^3+20/4!*x^4+165/5!*x^5... %R A013340 %O A013340 0,2 %K A013340 nonn %A A013340 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013341 %S A013341 1,0,1,3,9,53,315,2149,17409,156617,1563219,17208081,206502945, %T A013341 2684228909,37580441899,563709546373,9019300106369,153328265590929, %U A013341 2759909907247651,52438275521652889,1048765530491448353 %V A013341 1,0,1,-3,9,-53,315,-2149,17409,-156617,1563219,-17208081,206502945, %W A013341 -2684228909,37580441899,-563709546373,9019300106369, %X A013341 -153328265590929,2759909907247651,-52438275521652889 %N A013341 exp(sin(x)-log(x+1))=1+1/2!*x^2-3/3!*x^3+9/4!*x^4-53/5!*x^5... %R A013341 %O A013341 0,4 %K A013341 sign,done %A A013341 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013342 %S A013342 1,0,0,2,0,8,40,226,896,13264,62304,1040866,6528896,128181272, %T A013342 950205568,21880956098,189104984064,4957876255136,48968006626816, %U A013342 1441276692392770,16013733248841728,522786344819213608 %V A013342 1,0,0,-2,0,-8,40,-226,896,-13264,62304,-1040866,6528896,-128181272, %W A013342 950205568,-21880956098,189104984064,-4957876255136,48968006626816, %X A013342 -1441276692392770,16013733248841728,-522786344819213608 %N A013342 exp(sin(x)-arcsin(x))=1-2/3!*x^3-8/5!*x^5+40/6!*x^6-226/7!*x^7... %R A013342 %O A013342 0,4 %K A013342 sign,done %A A013342 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013343 %S A013343 2,8,226,8784,745186,87930776,14731669954,3284180017312, %T A013343 942576417055042,338316707471357480,148485160867969449250, %U A013343 78231095025601137037552,48725086678004751268115746 %N A013343 sin(sin(x)-arcsin(x))=-2/3!*x^3-8/5!*x^5-226/7!*x^7-8784/9!*x^9... %R A013343 %O A013343 0,1 %K A013343 sign,done %A A013343 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013344 %S A013344 2,8,226,15504,1188706,148306520,26128271170,5977691158048, %T A013344 1757745580960834,644493123719650472,287811224662750272034, %U A013344 153933334239209991266992,97140471618560380314609826 %N A013344 tan(sin(x)-arcsin(x))=-2/3!*x^3-8/5!*x^5-226/7!*x^7-15504/9!*x^9... %R A013344 %O A013344 0,1 %K A013344 sign,done %A A013344 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013345 %S A013345 2,8,226,6544,597346,67805528,12188457282,2727880967200, %T A013345 796141697431618,286025228357713576,126058973689765963298, %U A013345 66521439788693954540976,41531178576953648181886626 %N A013345 arctan(sin(x)-arcsin(x))=-2/3!*x^3-8/5!*x^5-226/7!*x^7-6544/9!*x^9... %R A013345 %O A013345 0,1 %K A013345 sign,done %A A013345 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013346 %S A013346 1,0,0,40,896,62304,6036096,878453888,172356091904,44229410876928, %T A013346 14356887611836416,5752160769829099520,2787961066322579554304, %U A013346 1607823657408554342604800,1088044045725067624437940224 %V A013346 1,0,0,-40,-896,-62304,-6036096,-878453888,-172356091904, %W A013346 -44229410876928,-14356887611836416,-5752160769829099520, %X A013346 -2787961066322579554304,-1607823657408554342604800 %N A013346 cos(sin(x)-arcsin(x))=1-40/6!*x^6-896/8!*x^8-62304/10!*x^10... %R A013346 %O A013346 0,4 %K A013346 sign,done %A A013346 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013347 %S A013347 2,8,226,13264,1040866,128181272,21880956098,4957876255136, %T A013347 1441276692392770,522786344819213608,231464628933637009186, %U A013347 122855468800105032574832,77004928448834740386437666 %N A013347 sinh(sin(x)-arcsin(x))=-2/3!*x^3-8/5!*x^5-226/7!*x^7-13264/9!*x^9... %R A013347 %O A013347 0,1 %K A013347 sign,done %A A013347 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013348 %S A013348 1,0,0,40,896,62304,6528896,950205568,189104984064,48968006626816, %T A013348 16013733248841728,6455144284204947456,3144635341624935219200, %U A013348 1821357143607530260848640,1237121524622739656337752064 %N A013348 cosh(sin(x)-arcsin(x))=1+40/6!*x^6+896/8!*x^8+62304/10!*x^10... %R A013348 %O A013348 0,4 %K A013348 nonn %A A013348 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013349 %S A013349 1,0,0,40,896,62304,7514496,1093708928,222602768384,59177065262592, %T A013349 19661155936868352,8041910306499811328,3968598123713485832192, %U A013349 2324068812945480395448320,1594018675642134181026299904 %N A013349 sec(sin(x)-arcsin(x))=1+40/6!*x^6+896/8!*x^8+62304/10!*x^10... %R A013349 %O A013349 0,4 %K A013349 nonn %A A013349 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013350 %S A013350 1,0,0,40,896,62304,5050496,734950528,138858307584,35484086513152, %T A013350 11376927751841792,4526992734620571648,2178753470207843827712, %U A013350 1249669173876982577029120,841645268835780387161800704 %V A013350 1,0,0,-40,-896,-62304,-5050496,-734950528,-138858307584, %W A013350 -35484086513152,-11376927751841792,-4526992734620571648, %X A013350 -2178753470207843827712,-1249669173876982577029120 %N A013350 sech(sin(x)-arcsin(x))=1-40/6!*x^6-896/8!*x^8-62304/10!*x^10... %R A013350 %O A013350 0,4 %K A013350 sign,done %A A013350 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013351 %S A013351 1,0,0,3,0,15,90,273,2520,15495,126630,977493,9727740,88854675, %T A013351 979548570,10671316113,129584342160,1617243395055,21655877754510, %U A013351 303182522321133,4450716903531780,68820502388338635 %V A013351 1,0,0,-3,0,-15,90,-273,2520,-15495,126630,-977493,9727740,-88854675, %W A013351 979548570,-10671316113,129584342160,-1617243395055,21655877754510, %X A013351 -303182522321133,4450716903531780,-68820502388338635 %N A013351 exp(sin(x)-tan(x))=1-3/3!*x^3-15/5!*x^5+90/6!*x^6-273/7!*x^7... %R A013351 %O A013351 0,4 %K A013351 sign,done %A A013351 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013352 %S A013352 3,15,273,375,269907,44118165,6182721087,965945373105, %T A013352 171088458444267,34527329266886445,7854770103731451447, %U A013352 1982591879388402922185,541911653216772177150627 %V A013352 -3,-15,-273,-375,269907,44118165,6182721087,965945373105, %W A013352 171088458444267,34527329266886445,7854770103731451447, %X A013352 1982591879388402922185,541911653216772177150627 %N A013352 sin(sin(x)-tan(x))=-3/3!*x^3-15/5!*x^5-273/7!*x^7-375/9!*x^9... %R A013352 %O A013352 0,1 %K A013352 sign,done %A A013352 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013353 %S A013353 3,15,273,23055,1601193,155341095,24206437713,4645592799135, %T A013353 1094690215087833,324803673636221175,116133164181717551553, %U A013353 48989776965837082135215,24245825813770391843700873 %N A013353 tan(sin(x)-tan(x))=-3/3!*x^3-15/5!*x^5-273/7!*x^7-23055/9!*x^9... %R A013353 %O A013353 0,1 %K A013353 sign,done %A A013353 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013354 %S A013354 3,15,273,7185,893607,110604585,6777315087,405484606815, %T A013354 441813428161833,137423041821531015,28797568231809153153, %U A013354 2268330081740331047985,6518378202627257740085127 %V A013354 -3,-15,-273,7185,893607,110604585,6777315087,-405484606815, %W A013354 -441813428161833,-137423041821531015,-28797568231809153153, %X A013354 2268330081740331047985,6518378202627257740085127 %N A013354 arctan(sin(x)-tan(x))=-3/3!*x^3-15/5!*x^5-273/7!*x^7+7185/9!*x^9... %R A013354 %O A013354 0,1 %K A013354 sign,done %A A013354 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013355 %S A013355 1,0,0,90,2520,126630,7232940,525494970,41497943760,2901128941710, %T A013355 81569169583020,147991203194615550,70007476191566027400, %U A013355 29824424882002116303210,13022077747375312053181380 %V A013355 1,0,0,-90,-2520,-126630,-7232940,-525494970,-41497943760, %W A013355 -2901128941710,81569169583020,147991203194615550, %X A013355 70007476191566027400,29824424882002116303210 %N A013355 cos(sin(x)-tan(x))=1-90/6!*x^6-2520/8!*x^8-126630/10!*x^10... %R A013355 %O A013355 0,4 %K A013355 sign,done %A A013355 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013356 %S A013356 3,15,273,15495,977493,88854675,10671316113,1617243395055, %T A013356 303182522321133,68820502388338635,18601481181446108553, %U A013356 5903132077554100349415,2173055397496643301830373 %N A013356 sinh(sin(x)-tan(x))=-3/3!*x^3-15/5!*x^5-273/7!*x^7-15495/9!*x^9... %R A013356 %O A013356 0,1 %K A013356 sign,done %A A013356 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013357 %S A013357 1,0,0,90,2520,126630,9727740,979548570,129584342160,21655877754510, %T A013357 4450716903531780,1102163137590334050,323261459451529176600, %U A013357 110722946709029745152790,43768619617333612645900620 %N A013357 cosh(sin(x)-tan(x))=1+90/6!*x^6+2520/8!*x^8+126630/10!*x^10... %R A013357 %O A013357 0,4 %K A013357 nonn %A A013357 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013358 %S A013358 1,0,0,90,2520,126630,14717340,1887655770,305757138960, %T A013358 67501799476110,18267050784481380,5925845719351577250, %U A013358 2313597977247058464600,1064286603125099115824790 %N A013358 sec(sin(x)-tan(x))=1+90/6!*x^6+2520/8!*x^8+126630/10!*x^10... %R A013358 %O A013358 0,4 %K A013358 nonn %A A013358 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013359 %S A013359 1,0,0,90,2520,126630,2243340,382612230,134674853040,26271944587890, %T A013359 4394379581092620,324925984573170750,181350289825568364600, %U A013359 145875833202121504544790,70691303308201174797454620 %V A013359 1,0,0,-90,-2520,-126630,-2243340,382612230,134674853040, %W A013359 26271944587890,4394379581092620,324925984573170750, %X A013359 -181350289825568364600,-145875833202121504544790 %N A013359 sech(sin(x)-tan(x))=1-90/6!*x^6-2520/8!*x^8-126630/10!*x^10... %R A013359 %O A013359 0,4 %K A013359 sign,done %A A013359 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013360 %S A013360 1,0,0,1,0,23,10,719,1288,40039,152934,3522539,21952084,447600515, %T A013360 4051623706,77667878287,956802094896,17678180216111,283850233488142, %U A013360 5114563630418963,103778358157367212,1833901052655286363 %V A013360 1,0,0,1,0,-23,10,719,-1288,-40039,152934,3522539,-21952084, %W A013360 -447600515,4051623706,77667878287,-956802094896,-17678180216111, %X A013360 283850233488142,5114563630418963,-103778358157367212 %N A013360 exp(sin(x)-arctan(x))=1+1/3!*x^3-23/5!*x^5+10/6!*x^6+719/7!*x^7... %R A013360 %O A013360 0,6 %K A013360 sign,done %A A013360 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013361 %S A013361 1,23,719,40599,3735059,510402683,96691506911,24171783139087, %T A013361 7694747756773355,3036089243696854595,1453467770211562096727, %U A013361 829717294037701503696727,556699159289263988695878179 %V A013361 1,-23,719,-40599,3735059,-510402683,96691506911,-24171783139087, %W A013361 7694747756773355,-3036089243696854595,1453467770211562096727, %X A013361 -829717294037701503696727,556699159289263988695878179 %N A013361 sin(sin(x)-arctan(x))=1/3!*x^3-23/5!*x^5+719/7!*x^7-40599/9!*x^9... %R A013361 %O A013361 0,2 %K A013361 sign,done %A A013361 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013362 %S A013362 1,23,719,39759,3416279,416199431,68177084975,14464255598623, %T A013362 3858701385264167,1264194279838439447,498983377122586500671, %U A013362 233538587496361280678767,127884277134966430982474999 %V A013362 1,-23,719,-39759,3416279,-416199431,68177084975,-14464255598623, %W A013362 3858701385264167,-1264194279838439447,498983377122586500671, %X A013362 -233538587496361280678767,127884277134966430982474999 %N A013362 tan(sin(x)-arctan(x))=1/3!*x^3-23/5!*x^5+719/7!*x^7-39759/9!*x^9... %R A013362 %O A013362 0,2 %K A013362 sign,done %A A013362 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013363 %S A013363 1,23,719,40879,3841319,541803767,106235553423,27468995761375, %T A013363 9037325540918231,3685351559546907751,1824543182108925373567, %U A013363 1078031616167494916871951,749297439398817941026337799 %V A013363 1,-23,719,-40879,3841319,-541803767,106235553423,-27468995761375, %W A013363 9037325540918231,-3685351559546907751,1824543182108925373567, %X A013363 -1078031616167494916871951,749297439398817941026337799 %N A013363 arctan(sin(x)-atan(x))=1/3!*x^3-23/5!*x^5+719/7!*x^7-40879/9!*x^9... %R A013363 %O A013363 0,2 %K A013363 sign,done %A A013363 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013364 %S A013364 1,0,0,10,1288,152934,21982884,4077409466,972083601136, %T A013364 292315200462606,108645176948603484,48996211090048870850, %U A013364 26383142439992849750056,16729383446320867555995350 %V A013364 1,0,0,-10,1288,-152934,21982884,-4077409466,972083601136, %W A013364 -292315200462606,108645176948603484,-48996211090048870850, %X A013364 26383142439992849750056,-16729383446320867555995350 %N A013364 cos(sin(x)-arctan(x))=1-10/6!*x^6+1288/8!*x^8-152934/10!*x^10... %R A013364 %O A013364 0,4 %K A013364 sign,done %A A013364 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013365 %S A013365 1,23,719,40039,3522539,447600515,77667878287,17678180216111, %T A013365 5114563630418963,1833901052655286363,798306636459002471063, %U A013365 414704864473303294302407,253396539072278830083000859 %V A013365 1,-23,719,-40039,3522539,-447600515,77667878287,-17678180216111, %W A013365 5114563630418963,-1833901052655286363,798306636459002471063, %X A013365 -414704864473303294302407,253396539072278830083000859 %N A013365 sinh(sin(x)-arctan(x))=1/3!*x^3-23/5!*x^5+719/7!*x^7-40039/9!*x^9... %R A013365 %O A013365 0,2 %K A013365 sign,done %A A013365 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013366 %S A013366 1,0,0,10,1288,152934,21952084,4051623706,956802094896, %T A013366 283850233488142,103778358157367212,45952155963779123106, %U A013366 24267844868956822679176,15082728649311299637576790 %V A013366 1,0,0,10,-1288,152934,-21952084,4051623706,-956802094896, %W A013366 283850233488142,-103778358157367212,45952155963779123106, %X A013366 -24267844868956822679176,15082728649311299637576790 %N A013366 cosh(sin(x)-arctan(x))=1+10/6!*x^6-1288/8!*x^8+152934/10!*x^10... %R A013366 %O A013366 0,4 %K A013366 sign,done %A A013366 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013367 %S A013367 1,0,0,10,1288,152934,21890484,4000052186,926239082416, %T A013367 266931734963214,94074704256622668,39914182012094267618, %U A013367 20108103789380727679816,11884006709783387983027670 %V A013367 1,0,0,10,-1288,152934,-21890484,4000052186,-926239082416, %W A013367 266931734963214,-94074704256622668,39914182012094267618, %X A013367 -20108103789380727679816,11884006709783387983027670 %N A013367 sec(sin(x)-arctan(x))=1+10/6!*x^6-1288/8!*x^8+152934/10!*x^10... %R A013367 %O A013367 0,4 %K A013367 sign,done %A A013367 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013368 %S A013368 1,0,0,10,1288,152934,22044484,4128980986,1002646613616, %T A013368 309256569835534,118408798212804028,55134457643443006338, %U A013368 30684616930799120314216,20117431906536006109520470 %V A013368 1,0,0,-10,1288,-152934,22044484,-4128980986,1002646613616, %W A013368 -309256569835534,118408798212804028,-55134457643443006338, %X A013368 30684616930799120314216,-20117431906536006109520470 %N A013368 sech(sin(x)-arctan(x))=1-10/6!*x^6+1288/8!*x^8-152934/10!*x^10... %R A013368 %O A013368 0,4 %K A013368 sign,done %A A013368 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013369 %S A013369 1,0,0,2,0,0,40,2,0,2240,480,2,246400,137280,8320,44844802,51251200, %T A013369 10325120,12197916160,24831206402,11394406400,4636033573760, %U A013369 15296025241600,13230894476802,2348235343872000,11727021909179200 %V A013369 1,0,0,-2,0,0,40,-2,0,-2240,480,-2,246400,-137280,8320,-44844802, %W A013369 51251200,-10325120,12197916160,-24831206402,11394406400, %X A013369 -4636033573760,15296025241600,-13230894476802,2348235343872000 %N A013369 exp(sin(x)-sinh(x))=1-2/3!*x^3+40/6!*x^6-2/7!*x^7-2240/9!*x^9... %R A013369 %O A013369 0,4 %K A013369 sign,done %A A013369 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013370 %S A013370 2,0,2,2240,2,137280,44844802,10325120,24831206402,4636033573760, %T A013370 13230894476802,11727021909179200,1532148866787968002, %U A013370 24717753365658325440 %V A013370 -2,0,-2,2240,-2,137280,-44844802,10325120,-24831206402, %W A013370 4636033573760,-13230894476802,11727021909179200, %X A013370 -1532148866787968002,24717753365658325440 %N A013370 sin(sin(x)-sinh(x))=-2/3!*x^3-2/7!*x^7+2240/9!*x^9-2/11!*x^11... %R A013370 %O A013370 0,1 %K A013370 sign,done %A A013370 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013371 %S A013371 2,0,2,4480,2,274560,717516802,20650240,397299302402, %T A013371 1260764869707520,211694311628802,3189730834295158400, %U A013371 12098583209553471488002,6723227372694939050880 %N A013371 tan(sin(x)-sinh(x))=-2/3!*x^3-2/7!*x^7-4480/9!*x^9-2/11!*x^11... %R A013371 %O A013371 0,1 %K A013371 sign,done %A A013371 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013372 %S A013372 2,0,2,4480,2,274560,1076275202,20650240,595948953602, %T A013372 3337315890251520,317541467443202,8443404916271478400, %U A013372 61468170244569234432002,17796778320664208810880 %V A013372 -2,0,-2,4480,-2,274560,-1076275202,20650240,-595948953602, %W A013372 3337315890251520,-317541467443202,8443404916271478400, %X A013372 -61468170244569234432002,17796778320664208810880 %N A013372 arctan(sin(x)-sinh(x))=-2/3!*x^3-2/7!*x^7+4480/9!*x^9-2/11!*x^11... %R A013372 %O A013372 0,1 %K A013372 sign,done %A A013372 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013373 %S A013373 1,0,0,40,0,480,246400,8320,51251200,12197916160,11394406400, %T A013373 15296025241600,2348235343872000,17026923803402240, %U A013373 10977173716094976000,1257676453660275015680,40667519251506816614400 %V A013373 1,0,0,-40,0,-480,246400,-8320,51251200,-12197916160,11394406400, %W A013373 -15296025241600,2348235343872000,-17026923803402240, %X A013373 10977173716094976000,-1257676453660275015680 %N A013373 cos(sin(x)-sinh(x))=1-40/6!*x^6-480/10!*x^10+246400/12!*x^12... %R A013373 %O A013373 0,4 %K A013373 sign,done %A A013373 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013374 %S A013374 2,0,2,2240,2,137280,403603202,10325120,223480857602, %T A013374 1042911543845760,119078050291202,2638564062897339200, %U A013374 16807721436490038912002,5561493227350293205440 %V A013374 -2,0,-2,2240,-2,137280,-403603202,10325120,-223480857602, %W A013374 1042911543845760,-119078050291202,2638564062897339200, %X A013374 -16807721436490038912002,5561493227350293205440 %N A013374 arcsinh(sin(x)-sinh(x))=-2/3!*x^3-2/7!*x^7+2240/9!*x^9-2/11!*x^11... %R A013374 %O A013374 0,1 %K A013374 sign,done %A A013374 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013375 %S A013375 1,0,0,40,0,480,1232000,8320,256256000,744065052160,56972032000, %T A013375 933057413785600,3248379673651200000,1038642349994762240, %U A013375 15202354034221486080000,62540998641516972945735680 %N A013375 sec(sin(x)-sinh(x))=1+40/6!*x^6+480/10!*x^10+1232000/12!*x^12... %R A013375 %O A013375 0,4 %K A013375 nonn %A A013375 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013376 %S A013376 1,0,0,0,0,8,0,224,0,11024,8064,893024,1419264,108056024,262662400, %T A013376 18196891712,59455492096,4073700728096,16726941245440, %U A013376 1171230240813632,5792855942807552,420783754605743528 %V A013376 1,0,0,0,0,-8,0,224,0,-11024,8064,893024,-1419264,-108056024, %W A013376 262662400,18196891712,-59455492096,-4073700728096,16726941245440, %X A013376 1171230240813632,-5792855942807552,-420783754605743528 %N A013376 exp(sin(x)-arcsinh(x))=1-8/5!*x^5+224/7!*x^7-11024/9!*x^9+8064/10!*x^10... %R A013376 %O A013376 0,6 %K A013376 sign,done %A A013376 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013377 %S A013377 8,224,11024,893024,108056024,18326044736,4143959973152, %T A013377 1203673701847616,436556568694967720,193325069835999174688, %U A013377 102646741662885247765552,64363759451798102692787104 %V A013377 -8,224,-11024,893024,-108056024,18326044736,-4143959973152, %W A013377 1203673701847616,-436556568694967720,193325069835999174688, %X A013377 -102646741662885247765552,64363759451798102692787104 %N A013377 sin(sin(x)-arcsinh(x))=-8/5!*x^5+224/7!*x^7-11024/9!*x^9... %R A013377 %O A013377 0,1 %K A013377 sign,done %A A013377 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013378 %S A013378 1,0,0,0,0,8064,1419264,262662400,59455492096,16726941245440, %T A013378 5796860719775744,2439524053684551680,1228699611612771516416, %U A013378 730845840019971307929600,507327256430827248463380480 %V A013378 1,0,0,0,0,-8064,1419264,-262662400,59455492096,-16726941245440, %W A013378 5796860719775744,-2439524053684551680,1228699611612771516416, %X A013378 -730845840019971307929600,507327256430827248463380480 %N A013378 cos(sin(x)-arcsinh(x))=1-8064/10!*x^10+1419264/12!*x^12... %R A013378 %O A013378 0,6 %K A013378 sign,done %A A013378 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013379 %S A013379 1,0,0,1,0,15,10,271,840,7655,60870,284491,4949780,9609795,484684330, %T A013379 382526689,57168678320,229639178065,7957246947790,65098408980269, %U A013379 1270811040444460,17837435546853925,224172849477365650 %V A013379 1,0,0,1,0,-15,10,271,-840,-7655,60870,284491,-4949780,-9609795, %W A013379 484684330,-382526689,-57168678320,229639178065,7957246947790, %X A013379 -65098408980269,-1270811040444460,17837435546853925 %N A013379 exp(sin(x)-tanh(x))=1+1/3!*x^3-15/5!*x^5+10/6!*x^6+271/7!*x^7... %R A013379 %O A013379 0,6 %K A013379 sign,done %A A013379 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013380 %S A013380 1,15,271,8215,423091,35126715,4192844111,652228720015, %T A013380 125163350892331,28804173376146115,7819440342923915751, %U A013380 2475114876516159269015,904874211609774006906371 %V A013380 1,-15,271,-8215,423091,-35126715,4192844111,-652228720015, %W A013380 125163350892331,-28804173376146115,7819440342923915751, %X A013380 -2475114876516159269015,904874211609774006906371 %N A013380 sin(sin(x)-tanh(x))=1/3!*x^3-15/5!*x^5+271/7!*x^7-8215/9!*x^9... %R A013380 %O A013380 0,2 %K A013380 sign,done %A A013380 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013381 %S A013381 1,15,271,7375,215191,3148665,2649191089,649131707105, %T A013381 146075501268569,33189954373043945,7481610904728705249, %U A013381 1478339075346879047185,99742476113106129277129 %V A013381 1,-15,271,-7375,215191,3148665,-2649191089,649131707105, %W A013381 -146075501268569,33189954373043945,-7481610904728705249, %X A013381 1478339075346879047185,-99742476113106129277129 %N A013381 tan(sin(x)-tanh(x))=1/3!*x^3-15/5!*x^5+271/7!*x^7-7375/9!*x^9... %R A013381 %O A013381 0,2 %K A013381 sign,done %A A013381 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013382 %S A013382 1,15,271,8495,492391,47885175,6512761711,1126039513055, %T A013382 241996705222231,64384007995020135,20971047413824897951, %U A013382 8203471786087609654415,3781059328242133245372871 %V A013382 1,-15,271,-8495,492391,-47885175,6512761711,-1126039513055, %W A013382 241996705222231,-64384007995020135,20971047413824897951, %X A013382 -8203471786087609654415,3781059328242133245372871 %N A013382 arctan(sin(x)-tanh(x))=1/3!*x^3-15/5!*x^5+271/7!*x^7-8495/9!*x^9... %R A013382 %O A013382 0,2 %K A013382 sign,done %A A013382 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013383 %S A013383 1,0,0,10,840,60870,4980580,501501130,63445348720,10063325322190, %T A013383 1976669210391260,472760236462102450,135256173623772004200, %U A013383 45534410854433395672310,17782334849654204122443540 %V A013383 1,0,0,-10,840,-60870,4980580,-501501130,63445348720,-10063325322190, %W A013383 1976669210391260,-472760236462102450,135256173623772004200, %X A013383 -45534410854433395672310,17782334849654204122443540 %N A013383 cos(sin(x)-tanh(x))=1-10/6!*x^6+840/8!*x^8-60870/10!*x^10... %R A013383 %O A013383 0,4 %K A013383 sign,done %A A013383 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013384 %S A013384 1,15,271,7655,284491,9609795,382526689,229639178065,65098408980269, %T A013384 17837435546853925,5217817960366272249,1673172596073749841785, %U A013384 591805818675678286322629,230533244539348246629741645 %V A013384 1,-15,271,-7655,284491,-9609795,-382526689,229639178065, %W A013384 -65098408980269,17837435546853925,-5217817960366272249, %X A013384 1673172596073749841785,-591805818675678286322629 %N A013384 sinh(sin(x)-tanh(x))=1/3!*x^3-15/5!*x^5+271/7!*x^7-7655/9!*x^9... %R A013384 %O A013384 0,2 %K A013384 sign,done %A A013384 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013385 %S A013385 1,0,0,10,840,60870,4949780,484684330,57168678320,7957246947790, %T A013385 1270811040444460,224172849477365650,40867049294767840200, %U A013385 6397467145495026664310,40199264206917072158460 %V A013385 1,0,0,10,-840,60870,-4949780,484684330,-57168678320,7957246947790, %W A013385 -1270811040444460,224172849477365650,-40867049294767840200, %X A013385 6397467145495026664310,40199264206917072158460 %N A013385 cosh(sin(x)-tanh(x))=1+10/6!*x^6-840/8!*x^8+60870/10!*x^10... %R A013385 %O A013385 0,4 %K A013385 sign,done %A A013385 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013386 %S A013386 1,0,0,10,840,60870,4888180,451050730,44615337520,3756525622990, %T A013386 121350724409140,252176627984091950,129656734144811047800, %U A013386 57182907798391521511690,24201188340561567892562460 %V A013386 1,0,0,10,-840,60870,-4888180,451050730,-44615337520,3756525622990, %W A013386 121350724409140,-252176627984091950,129656734144811047800, %X A013386 -57182907798391521511690,24201188340561567892562460 %N A013386 sec(sin(x)-tanh(x))=1+10/6!*x^6-840/8!*x^8+60870/10!*x^10... %R A013386 %O A013386 0,4 %K A013386 sign,done %A A013386 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013387 %S A013387 1,0,0,10,840,60870,5042180,535134730,75998689520,14286917494990, %T A013387 3407940125324860,990760306939592050,342314173738467052200, %U A013387 138600427075503715528310,65139256364305112582847540 %V A013387 1,0,0,-10,840,-60870,5042180,-535134730,75998689520,-14286917494990, %W A013387 3407940125324860,-990760306939592050,342314173738467052200, %X A013387 -138600427075503715528310,65139256364305112582847540 %N A013387 sech(sin(x)-tanh(x))=1-10/6!*x^6+840/8!*x^8-60870/10!*x^10... %R A013387 %O A013387 0,4 %K A013387 sign,done %A A013387 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013388 %S A013388 1,0,0,3,0,23,90,721,3864,47879,326214,4585141,40991676,647541971, %T A013388 7059334282,125142649633,1612242903824,31683946165871, %U A013388 471247352116174,10177278274781101,171640057469660548 %V A013388 1,0,0,-3,0,-23,90,-721,3864,-47879,326214,-4585141,40991676, %W A013388 -647541971,7059334282,-125142649633,1612242903824,-31683946165871, %X A013388 471247352116174,-10177278274781101,171640057469660548 %N A013388 exp(sin(x)-arctanh(x))=1-3/3!*x^3-23/5!*x^5+90/6!*x^6-721/7!*x^7... %R A013388 %O A013388 0,4 %K A013388 sign,done %A A013388 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013389 %S A013389 3,23,721,32759,2672461,310461227,49895013169,10516703525327, %T A013389 2811203923750741,926105108276716115,367211453075540071769, %U A013389 171643737525955364628727,92766252900694480314741821 %N A013389 sin(sin(x)-arctanh(x))=-3/3!*x^3-23/5!*x^5-721/7!*x^7-32759/9!*x^9... %R A013389 %O A013389 0,1 %K A013389 sign,done %A A013389 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013390 %S A013390 3,23,721,55439,5541481,816082343,167874570865,44930591850143, %T A013390 15238326353365081,6394194823965172727,3248353545402758819489, %U A013390 1964538978111655728427567,1394689558266289975472153801 %N A013390 tan(sin(x)-arctanh(x))=-3/3!*x^3-23/5!*x^5-721/7!*x^7-55439/9!*x^9... %R A013390 %O A013390 0,1 %K A013390 sign,done %A A013390 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013391 %S A013391 3,23,721,25199,1716121,141920855,20103619537,4016386229855, %T A013391 1241116799607721,494609567396520071,244232906612554953633, %U A013391 140315440295583485315151,92810530303082004433849401 %N A013391 arctan(sin(x)-atanh(x))=-3/3!*x^3-23/5!*x^5-721/7!*x^7-25199/9!*x^9... %R A013391 %O A013391 0,1 %K A013391 sign,done %A A013391 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013392 %S A013392 1,0,0,90,3864,326214,38496876,6363118762,1391451773264, %T A013392 390207547318222,136581823796686036,58397588436566980370, %U A013392 29960029691855345080504,18169010205146250870789750 %V A013392 1,0,0,-90,-3864,-326214,-38496876,-6363118762,-1391451773264, %W A013392 -390207547318222,-136581823796686036,-58397588436566980370, %X A013392 -29960029691855345080504,-18169010205146250870789750 %N A013392 cos(sin(x)-arctanh(x))=1-90/6!*x^6-3864/8!*x^8-326214/10!*x^10... %R A013392 %O A013392 0,4 %K A013392 sign,done %A A013392 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013393 %S A013393 3,23,721,47879,4585141,647541971,125142649633,31683946165871, %T A013393 10177278274781101,4042622917874613323,1945427918214115672569, %U A013393 1115191589596355708429607,750796364377542533286862341 %N A013393 sinh(sin(x)-arctanh(x))=-3/3!*x^3-23/5!*x^5-721/7!*x^7-47879/9!*x^9... %R A013393 %O A013393 0,1 %K A013393 sign,done %A A013393 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013394 %S A013394 1,0,0,90,3864,326214,40991676,7059334282,1612242903824, %T A013394 471247352116174,171640057469660548,76238487501368295026, %U A013394 40569187584659105627992,25481546086075766773695990 %N A013394 cosh(sin(x)-arctanh(x))=1+90/6!*x^6+3864/8!*x^8+326214/10!*x^10... %R A013394 %O A013394 0,4 %K A013394 nonn %A A013394 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013395 %S A013395 1,0,0,90,3864,326214,45981276,8451765322,2053825164944, %T A013395 641663385808078,249042559475513572,117658592297847708338, %U A013395 66515862023755958383768,44326271307924691256260470 %N A013395 sec(sin(x)-arctanh(x))=1+90/6!*x^6+3864/8!*x^8+326214/10!*x^10... %R A013395 %O A013395 0,4 %K A013395 nonn %A A013395 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013396 %S A013396 1,0,0,90,3864,326214,33507276,4970687722,949869512144, %T A013396 236464361818318,73751391110641012,28454096973841135058, %U A013396 13304169550531141566328,7432891904926457008929270 %V A013396 1,0,0,-90,-3864,-326214,-33507276,-4970687722,-949869512144, %W A013396 -236464361818318,-73751391110641012,-28454096973841135058, %X A013396 -13304169550531141566328,-7432891904926457008929270 %N A013396 sech(sin(x)-arctanh(x))=1-90/6!*x^6-3864/8!*x^8-326214/10!*x^10... %R A013396 %O A013396 0,4 %K A013396 sign,done %A A013396 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013397 %S A013397 1,0,1,1,9,25,235,1125,12145,83305,1037475,9280225,132009625, %T A013397 1456021125,23378099875,306453818125,5493040502625,83388492864625, %U A013397 1652566180607875,28500730684349625,619275939126495625 %V A013397 1,0,1,-1,9,-25,235,-1125,12145,-83305,1037475,-9280225,132009625, %W A013397 -1456021125,23378099875,-306453818125,5493040502625,-83388492864625, %X A013397 1652566180607875,-28500730684349625,619275939126495625 %N A013397 exp(arcsin(x)-log(x+1))=1+1/2!*x^2-1/3!*x^3+9/4!*x^4-25/5!*x^5... %R A013397 %O A013397 0,5 %K A013397 sign,done %A A013397 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013398 %S A013398 1,0,0,1,0,7,10,47,392,2809,11814,506893,403612,83115485,231855494, %T A013398 16349094305,65488668048,3986249084945,19019872358258, %U A013398 1200454846441429,6285428416936228,441567328473394021 %V A013398 1,0,0,-1,0,-7,10,-47,392,2809,11814,506893,-403612,83115485, %W A013398 -231855494,16349094305,-65488668048,3986249084945,-19019872358258, %X A013398 1200454846441429,-6285428416936228,441567328473394021 %N A013398 exp(arcsin(x)-tan(x))=1-1/3!*x^3-7/5!*x^5+10/6!*x^6-47/7!*x^7... %R A013398 %O A013398 0,6 %K A013398 sign,done %A A013398 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013399 %S A013399 1,7,47,2809,506893,83115485,16337883105,3980912553745, %T A013399 1198885514196949,441311715413932261,196017910100566581641, %U A013399 103733615818680354449241,64634094120174715384992573 %V A013399 -1,-7,-47,2809,506893,83115485,16337883105,3980912553745, %W A013399 1198885514196949,441311715413932261,196017910100566581641, %X A013399 103733615818680354449241,64634094120174715384992573 %N A013399 arcsin(arcsin(x)-tan(x))=-1/3!*x^3-7/5!*x^5-47/7!*x^7+2809/9!*x^9... %R A013399 %O A013399 0,2 %K A013399 sign,done %A A013399 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013400 %S A013400 1,7,47,2529,474553,80543201,16320858097,4064194232641, %T A013400 1239800275237225,458973088380970433,203990713313188606561, %U A013400 107678055191713549688737,66805939165628021795993113 %V A013400 -1,-7,-47,2529,474553,80543201,16320858097,4064194232641, %W A013400 1239800275237225,458973088380970433,203990713313188606561, %X A013400 107678055191713549688737,66805939165628021795993113 %N A013400 tan(arcsin(x)-tan(x))=-1/3!*x^3-7/5!*x^5-47/7!*x^7+2529/9!*x^9... %R A013400 %O A013400 0,2 %K A013400 sign,done %A A013400 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013401 %S A013401 1,7,47,3649,603913,90832337,16338507729,3707053126657, %T A013401 1069079235975961,387242954208151825,172585239298528416545, %U A013401 92608073317490225768001,58719694732194364215549993 %V A013401 -1,-7,-47,3649,603913,90832337,16338507729,3707053126657, %W A013401 1069079235975961,387242954208151825,172585239298528416545, %X A013401 92608073317490225768001,58719694732194364215549993 %N A013401 arctan(arcsin(x)-tan(x))=-1/3!*x^3-7/5!*x^5-47/7!*x^7+3649/9!*x^9... %R A013401 %O A013401 0,2 %K A013401 sign,done %A A013401 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013402 %S A013402 1,0,0,10,392,11814,434412,239703334,66778596688,19103113532274, %T A013402 6219304575954900,2372061571443015646,1067602664492677013176, %U A013402 566076503411492186181610,351525681041566766571083772 %V A013402 1,0,0,-10,-392,-11814,434412,239703334,66778596688,19103113532274, %W A013402 6219304575954900,2372061571443015646,1067602664492677013176, %X A013402 566076503411492186181610,351525681041566766571083772 %N A013402 cos(arcsin(x)-tan(x))=1-10/6!*x^6-392/8!*x^8-11814/10!*x^10... %R A013402 %O A013402 0,4 %K A013402 sign,done %A A013402 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013403 %S A013403 1,7,47,3369,571573,88260053,16352313521,3805010266353, %T A013403 1114309660688557,405568733333445837,180263147441643275337, %U A013403 96121395297143070311401,60524878000846286453504453 %V A013403 -1,-7,-47,3369,571573,88260053,16352313521,3805010266353, %W A013403 1114309660688557,405568733333445837,180263147441643275337, %X A013403 96121395297143070311401,60524878000846286453504453 %N A013403 arcsinh(arcsin(x)-tan(x))=-1/3!*x^3-7/5!*x^5-47/7!*x^7+3369/9!*x^9... %R A013403 %O A013403 0,2 %K A013403 sign,done %A A013403 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013404 %S A013404 1,0,0,10,392,11814,403612,231855494,65488668048,19019872358258, %T A013404 6285428416936228,2426795058770532798,1100901702843643862296, %U A013404 585586283280926607971690,363295626691930416421332972 %V A013404 1,0,0,10,392,11814,-403612,-231855494,-65488668048,-19019872358258, %W A013404 -6285428416936228,-2426795058770532798,-1100901702843643862296, %X A013404 -585586283280926607971690,-363295626691930416421332972 %N A013404 cosh(arcsin(x)-tan(x))=1+10/6!*x^6+392/8!*x^8+11814/10!*x^10... %R A013404 %O A013404 0,4 %K A013404 sign,done %A A013404 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013405 %S A013405 1,0,0,10,392,11814,342012,216159814,62908810768,18841954586226, %T A013405 6408550630546884,2531899081824559102,1166225397113477182936, %U A013405 624827241398074401423850,387664428610356715107061452 %V A013405 1,0,0,10,392,11814,-342012,-216159814,-62908810768,-18841954586226, %W A013405 -6408550630546884,-2531899081824559102,-1166225397113477182936, %X A013405 -624827241398074401423850,-387664428610356715107061452 %N A013405 sec(arcsin(x)-tan(x))=1+10/6!*x^6+392/8!*x^8+11814/10!*x^10... %R A013405 %O A013405 0,4 %K A013405 sign,done %A A013405 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013406 %S A013406 1,0,0,10,392,11814,496012,255399014,69358453968,19258160456306, %T A013406 6077931425640244,2258231645186973342,999755491596900217336, %U A013406 527324363004530542073450,328862882324660659119175452 %V A013406 1,0,0,-10,-392,-11814,496012,255399014,69358453968,19258160456306, %W A013406 6077931425640244,2258231645186973342,999755491596900217336, %X A013406 527324363004530542073450,328862882324660659119175452 %N A013406 sech(arcsin(x)-tan(x))=1-10/6!*x^6-392/8!*x^8-11814/10!*x^10... %R A013406 %O A013406 0,4 %K A013406 sign,done %A A013406 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013407 %S A013407 1,0,0,3,0,15,90,945,2520,21735,368550,3898125,29313900,200675475, %T A013407 7122965850,76834382625,1133998866000,6451321251375,432213196164750, %U A013407 4637298724183125,115564330313932500,512908750215736875 %V A013407 1,0,0,3,0,-15,90,945,-2520,-21735,368550,3898125,-29313900, %W A013407 -200675475,7122965850,76834382625,-1133998866000,-6451321251375, %X A013407 432213196164750,4637298724183125,-115564330313932500 %N A013407 exp(arcsin(x)-arctan(x))=1+3/3!*x^3-15/5!*x^5+90/6!*x^6+945/7!*x^7... %R A013407 %O A013407 0,4 %K A013407 sign,done %A A013407 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013408 %S A013408 3,15,945,21735,3898125,200675475,79558704225,7377590595375, %T A013408 5270866955479125,797301690038728875,870299379257314631625, %U A013408 199012078053904775034375,299398813508124256529728125 %V A013408 3,-15,945,-21735,3898125,-200675475,79558704225,-7377590595375, %W A013408 5270866955479125,-797301690038728875,870299379257314631625, %X A013408 -199012078053904775034375,299398813508124256529728125 %N A013408 arcsin(arcsin(x)-arctan(x))=3/3!*x^3-15/5!*x^5+945/7!*x^7-21735/9!*x^9... %R A013408 %O A013408 0,1 %K A013408 sign,done %A A013408 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013409 %S A013409 3,15,945,14175,3274425,30405375,52996568625,2290345682625, %T A013409 2793516176075625,471064785877310625,385249723016564030625, %U A013409 141236453715527936390625,117605025896710529818265625 %V A013409 3,-15,945,-14175,3274425,-30405375,52996568625,2290345682625, %W A013409 2793516176075625,471064785877310625,385249723016564030625, %X A013409 141236453715527936390625,117605025896710529818265625 %N A013409 tan(arcsin(x)-arctan(x))=3/3!*x^3-15/5!*x^5+945/7!*x^7-14175/9!*x^9... %R A013409 %O A013409 0,1 %K A013409 sign,done %A A013409 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013410 %S A013410 3,15,945,44415,5769225,711485775,171504558225,40549611477375, %T A013410 15553976334521625,6025672551378855375,3368007502842396038625, %U A013410 1937899053877871819109375,1488068350680083972290115625 %V A013410 3,-15,945,-44415,5769225,-711485775,171504558225,-40549611477375, %W A013410 15553976334521625,-6025672551378855375,3368007502842396038625, %X A013410 -1937899053877871819109375,1488068350680083972290115625 %N A013410 arctan(arcsin(x)-atan(x))=3/3!*x^3-15/5!*x^5+945/7!*x^7-44415/9!*x^9... %R A013410 %O A013410 0,1 %K A013410 sign,done %A A013410 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013411 %S A013411 1,0,0,90,2520,368550,31808700,7577019450,1338322986000, %T A013411 493346972868750,147490229469082500,78563939419056341250, %U A013411 35612399584500073335000,25974260672177759785593750 %V A013411 1,0,0,-90,2520,-368550,31808700,-7577019450,1338322986000, %W A013411 -493346972868750,147490229469082500,-78563939419056341250, %X A013411 35612399584500073335000,-25974260672177759785593750 %N A013411 cos(arcsin(x)-arctan(x))=1-90/6!*x^6+2520/8!*x^8-368550/10!*x^10... %R A013411 %O A013411 0,4 %K A013411 sign,done %A A013411 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013412 %S A013412 3,15,945,36855,5145525,541215675,137450538225,28334434503375, %T A013412 11334312919054125,3890960916187219875,2248877246697095639625, %U A013412 1162888838017333636584375,916442062457996554007653125 %V A013412 3,-15,945,-36855,5145525,-541215675,137450538225,-28334434503375, %W A013412 11334312919054125,-3890960916187219875,2248877246697095639625, %X A013412 -1162888838017333636584375,916442062457996554007653125 %N A013412 arcsinh(arcsin(x)-arctan(x))=3/3!*x^3-15/5!*x^5+945/7!*x^7-36855/9!*x^9... %R A013412 %O A013412 0,1 %K A013412 sign,done %A A013412 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013413 %S A013413 1,0,0,90,2520,368550,29313900,7122965850,1133998866000, %T A013413 432213196164750,115564330313932500,64225795369647161250, %U A013413 25965004352151980115000,19884500689553832175593750 %V A013413 1,0,0,90,-2520,368550,-29313900,7122965850,-1133998866000, %W A013413 432213196164750,-115564330313932500,64225795369647161250, %X A013413 -25965004352151980115000,19884500689553832175593750 %N A013413 cosh(arcsin(x)-arctan(x))=1+90/6!*x^6-2520/8!*x^8+368550/10!*x^10... %R A013413 %O A013413 0,4 %K A013413 sign,done %A A013413 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013414 %S A013414 1,0,0,90,2520,368550,24324300,6214858650,725350626000, %T A013414 318282066852750,56464293738352500,40214549353890161250, %U A013414 9894502805503110795000,10823754426851479957593750 %V A013414 1,0,0,90,-2520,368550,-24324300,6214858650,-725350626000, %W A013414 318282066852750,-56464293738352500,40214549353890161250, %X A013414 -9894502805503110795000,10823754426851479957593750 %N A013414 sec(arcsin(x)-arctan(x))=1+90/6!*x^6-2520/8!*x^8+368550/10!*x^10... %R A013414 %O A013414 0,4 %K A013414 sign,done %A A013414 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013415 %S A013415 1,0,0,90,2520,368550,36798300,8485126650,1746971226000, %T A013415 623950950372750,216093789514102500,111905269600936061250, %U A013415 58297381976449590975000,41488228251938936311593750 %V A013415 1,0,0,-90,2520,-368550,36798300,-8485126650,1746971226000, %W A013415 -623950950372750,216093789514102500,-111905269600936061250, %X A013415 58297381976449590975000,-41488228251938936311593750 %N A013415 sech(arcsin(x)-arctan(x))=1-90/6!*x^6+2520/8!*x^8-368550/10!*x^10... %R A013415 %O A013415 0,4 %K A013415 sign,done %A A013415 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013416 %S A013416 1,0,0,2,0,0,40,450,0,2240,108000,1786050,246400,30888000,1647734400, %T A013416 36567781250,11531520000,1356752592000,85195294912000, %U A013416 2380490964101250,1210714801920000,153377369153840000 %N A013416 exp(arcsin(x)-arcsinh(x))=1+2/3!*x^3+40/6!*x^6+450/7!*x^7+2240/9!*x^9... %R A013416 %O A013416 0,4 %K A013416 nonn %A A013416 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013417 %S A013417 2,0,450,2240,1786050,30888000,36926539650,1356752592000, %T A013417 2425187135621250,154415644664112000,389167059569139101250, %U A013417 38253175174710405000000,129492439672113021377981250 %N A013417 arcsin(arcsin(x)-arcsinh(x))=2/3!*x^3+450/7!*x^7+2240/9!*x^9... %R A013417 %O A013417 0,1 %K A013417 nonn %A A013417 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013418 %S A013418 2,0,450,4480,1786050,61776000,37240453250,2713505184000, %T A013418 2464296285701250,308006231110240000,397784819452992221250, %U A013418 76036685958833418000000,132964856302641623934781250 %N A013418 tan(arcsin(x)-arcsinh(x))=2/3!*x^3+450/7!*x^7+4480/9!*x^9... %R A013418 %O A013418 0,1 %K A013418 nonn %A A013418 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013419 %S A013419 1,0,0,40,0,108000,246400,1647734400,11531520000,85195294912000, %T A013419 1210714801920000,11246246283767040000,269211710490511360000, %U A013419 3174485131400558976000000,114873496767979282944000000 %V A013419 1,0,0,-40,0,-108000,246400,-1647734400,11531520000,-85195294912000, %W A013419 1210714801920000,-11246246283767040000,269211710490511360000, %X A013419 -3174485131400558976000000,114873496767979282944000000 %N A013419 cos(arcsin(x)-arcsinh(x))=1-40/6!*x^6-108000/10!*x^10+246400/12!*x^12... %R A013419 %O A013419 0,4 %K A013419 sign,done %A A013419 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013420 %S A013420 1,0,0,40,0,108000,1232000,1647734400,57657600000,85927162048000, %T A013420 6053574009600000,11452742596189440000,1349295190949488640000, %U A013420 3261229190521061760000000,577775664177165642240000000 %N A013420 sec(arcsin(x)-arcsinh(x))=1+40/6!*x^6+108000/10!*x^10+1232000/12!*x^12... %R A013420 %O A013420 0,4 %K A013420 nonn %A A013420 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013421 %S A013421 1,0,0,3,0,7,90,497,1176,10649,185094,955757,530772,167741741, %T A013421 1636156522,18092867249,170829306928,6069742560593,60742435952974, %U A013421 1368824205107477,18173279227072940,584561380993184597 %V A013421 1,0,0,3,0,-7,90,497,-1176,10649,185094,955757,530772,167741741, %W A013421 1636156522,18092867249,170829306928,6069742560593,60742435952974, %X A013421 1368824205107477,18173279227072940,584561380993184597 %N A013421 exp(arcsin(x)-tanh(x))=1+3/3!*x^3-7/5!*x^5+90/6!*x^6+497/7!*x^7... %R A013421 %O A013421 0,4 %K A013421 sign,done %A A013421 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013422 %S A013422 3,7,497,10649,955757,167741741,20817188849,5637483533393, %T A013422 1653225944489237,560689820639903957,269465649695982142009, %U A013422 138258119776900090716601,87774869737967098700912797 %V A013422 3,-7,497,10649,955757,167741741,20817188849,5637483533393, %W A013422 1653225944489237,560689820639903957,269465649695982142009, %X A013422 138258119776900090716601,87774869737967098700912797 %N A013422 arcsin(arcsin(x)-tanh(x))=3/3!*x^3-7/5!*x^5+497/7!*x^7+10649/9!*x^9... %R A013422 %O A013422 0,1 %K A013422 sign,done %A A013422 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013423 %S A013423 3,7,497,18209,664697,249795713,20788071761,7484066815937, %T A013423 2018810597689577,693966952243632545,344692722450514980225, %U A013423 170245123653326940700257,112403414827841060460901977 %V A013423 3,-7,497,18209,664697,249795713,20788071761,7484066815937, %W A013423 2018810597689577,693966952243632545,344692722450514980225, %X A013423 170245123653326940700257,112403414827841060460901977 %N A013423 tan(arcsin(x)-tanh(x))=3/3!*x^3-7/5!*x^5+497/7!*x^7+18209/9!*x^9... %R A013423 %O A013423 0,1 %K A013423 sign,done %A A013423 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013424 %S A013424 3,7,497,12031,1828937,78420175,33163987313,1847431936639, %T A013424 1836279812106137,90066800149588687,250185010809212552449, %U A013424 1037398294518312251519,71571989564012181483901417 %V A013424 3,-7,497,-12031,1828937,-78420175,33163987313,-1847431936639, %W A013424 1836279812106137,-90066800149588687,250185010809212552449, %X A013424 -1037398294518312251519,71571989564012181483901417 %N A013424 arctan(arcsin(x)-tanh(x))=3/3!*x^3-7/5!*x^5+497/7!*x^7-12031/9!*x^9... %R A013424 %O A013424 0,1 %K A013424 sign,done %A A013424 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013425 %S A013425 1,0,0,90,1176,185094,1964028,1848048202,75962374768,67890529994062, %T A013425 11941170933349628,7295480526681684722,2786657669471759954024, %U A013425 1863106309893276602345910,1157098843909005171444097716 %V A013425 1,0,0,-90,1176,-185094,1964028,-1848048202,-75962374768, %W A013425 -67890529994062,-11941170933349628,-7295480526681684722, %X A013425 -2786657669471759954024,-1863106309893276602345910 %N A013425 cos(arcsin(x)-tanh(x))=1-90/6!*x^6+1176/8!*x^8-185094/10!*x^10... %R A013425 %O A013425 0,4 %K A013425 sign,done %A A013425 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013426 %S A013426 3,7,497,4471,1537877,3633797,25642985825,1187863670705, %T A013426 1419759682006637,193121697188029661,200696541857404028889, %U A013426 55695588453425762984841,60791734371206895835586277 %V A013426 3,-7,497,-4471,1537877,3633797,25642985825,1187863670705, %W A013426 1419759682006637,193121697188029661,200696541857404028889, %X A013426 55695588453425762984841,60791734371206895835586277 %N A013426 arcsinh(arcsin(x)-tanh(x))=3/3!*x^3-7/5!*x^5+497/7!*x^7-4471/9!*x^9... %R A013426 %O A013426 0,1 %K A013426 sign,done %A A013426 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013427 %S A013427 1,0,0,90,1176,185094,530772,1636156522,170829306928,60742435952974, %T A013427 18173279227072940,7353969776707569554,3655980234829231451912, %U A013427 2065776616635942000462390,1427955074795894359873706436 %V A013427 1,0,0,90,-1176,185094,530772,1636156522,170829306928, %W A013427 60742435952974,18173279227072940,7353969776707569554, %X A013427 3655980234829231451912,2065776616635942000462390 %N A013427 cosh(arcsin(x)-tanh(x))=1+90/6!*x^6-1176/8!*x^8+185094/10!*x^10... %R A013427 %O A013427 0,4 %K A013427 sign,done %A A013427 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013428 %S A013428 1,0,0,90,1176,185094,5520372,1212373162,360563171248,54782671966798, %T A013428 28420007004983564,9501613654091931218,4976784878396711868488, %U A013428 2978748297366502676647350,1958176016948707070124838116 %V A013428 1,0,0,90,-1176,185094,5520372,1212373162,360563171248, %W A013428 54782671966798,28420007004983564,9501613654091931218, %X A013428 4976784878396711868488,2978748297366502676647350 %N A013428 sec(arcsin(x)-tanh(x))=1+90/6!*x^6-1176/8!*x^8+185094/10!*x^10... %R A013428 %O A013428 0,4 %K A013428 sign,done %A A013428 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013429 %S A013429 1,0,0,90,1176,185094,6953628,2271831562,113771489552,90523142172238, %T A013429 2740534463632996,9209167403962507058,464269042403340299048, %U A013429 2066044589238157561264950,444196957658570386596954516 %V A013429 1,0,0,-90,1176,-185094,6953628,-2271831562,113771489552, %W A013429 -90523142172238,2740534463632996,-9209167403962507058, %X A013429 -464269042403340299048,-2066044589238157561264950 %N A013429 sech(arcsin(x)-tanh(x))=1-90/6!*x^6+1176/8!*x^8-185094/10!*x^10... %R A013429 %O A013429 0,4 %K A013429 sign,done %A A013429 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013430 %S A013430 1,0,0,1,0,15,10,495,840,29575,87750,2805075,12340900,387547875, %T A013430 2304422250,73485787375,556725078000,18311017515375,169707184396750, %U A013430 5801182757296875,63859173696337500,2277007830973646875 %V A013430 1,0,0,-1,0,-15,10,-495,840,-29575,87750,-2805075,12340900, %W A013430 -387547875,2304422250,-73485787375,556725078000,-18311017515375, %X A013430 169707184396750,-5801182757296875,63859173696337500 %N A013430 exp(arcsin(x)-arctanh(x))=1-1/3!*x^3-15/5!*x^5+10/6!*x^6-495/7!*x^7... %R A013430 %O A013430 0,6 %K A013430 sign,done %A A013430 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013431 %S A013431 1,15,495,29575,2805075,387547875,73496998575,18322452939375, %T A013431 5810121991600875,2283796491396190875,1089828106992320070375, %U A013431 620645663306405750934375,415796249727049685923771875 %N A013431 arcsin(arcsin(x)-arctanh(x))=-1/3!*x^3-15/5!*x^5-495/7!*x^7-29575/9!*x^9... %R A013431 %O A013431 0,2 %K A013431 sign,done %A A013431 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013432 %S A013432 1,15,495,29855,2874375,404150175,78074371375,19828087485375, %T A013432 6403087440228375,2561659553274989375,1243334307147747189375, %U A013432 719656795107349242609375,489659786386680109910734375 %N A013432 tan(arcsin(x)-arctanh(x))=-1/3!*x^3-15/5!*x^5-495/7!*x^7-29855/9!*x^9... %R A013432 %O A013432 0,2 %K A013432 sign,done %A A013432 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013433 %S A013433 1,15,495,28735,2597175,337740975,59815330575,13857008709375, %T A013433 4071452200086375,1480690661198331375,653488912610356197375, %U A013433 344332933648569891309375,213657034023415650312084375 %N A013433 arctan(arcsin(x)-atanh(x))=-1/3!*x^3-15/5!*x^5-495/7!*x^7-28735/9!*x^9... %R A013433 %O A013433 0,2 %K A013433 sign,done %A A013433 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013434 %S A013434 1,0,0,10,840,87750,12310100,2287605450,549013374000,166031512396750, %T A013434 61922192590147500,27960041702488691250,15045975711682274645000, %U A013434 9519627048988069071093750,6999392861155139923566562500 %V A013434 1,0,0,-10,-840,-87750,-12310100,-2287605450,-549013374000, %W A013434 -166031512396750,-61922192590147500,-27960041702488691250, %X A013434 -15045975711682274645000,-9519627048988069071093750 %N A013434 cos(arcsin(x)-arctanh(x))=1-10/6!*x^6-840/8!*x^8-87750/10!*x^10... %R A013434 %O A013434 0,4 %K A013434 sign,done %A A013434 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013435 %S A013435 1,15,495,29015,2666475,354343275,64361872575,15331195839375, %T A013435 4639834754377875,1739923436670397875,792214640482949058375, %U A013435 430673843640390204684375,275621285783640234105646875 %N A013435 arcsinh(arcsin(x)-arctanh(x))=-1/3!*x^3-15/5!*x^5-495/7!*x^7-29015/9!*x^9... %R A013435 %O A013435 0,2 %K A013435 sign,done %A A013435 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013436 %S A013436 1,0,0,10,840,87750,12340900,2304422250,556725078000,169707184396750, %T A013436 63859173696337500,29112458631692231250,15824678904821697625000, %U A013436 10117021949736621549093750,7518098018091686976236812500 %N A013436 cosh(arcsin(x)-arctanh(x))=1+10/6!*x^6+840/8!*x^8+87750/10!*x^10... %R A013436 %O A013436 0,4 %K A013436 nonn %A A013436 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013437 %S A013437 1,0,0,10,840,87750,12402500,2338055850,572148486000,177069963820750, %T A013437 67752690483757500,31441329951467231250,17409362545770168545000, %U A013437 11342985795968641587093750,8592815549188913685325312500 %N A013437 sec(arcsin(x)-arctanh(x))=1+10/6!*x^6+840/8!*x^8+87750/10!*x^10... %R A013437 %O A013437 0,4 %K A013437 nonn %A A013437 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013438 %S A013438 1,0,0,10,840,87750,12248500,2253971850,533589966000,158691603820750, %T A013438 58067784952807500,25679245305449531250,13515821293834796365000, %U A013438 8355912675896675805093750,5999035482301327475702062500 %V A013438 1,0,0,-10,-840,-87750,-12248500,-2253971850,-533589966000, %W A013438 -158691603820750,-58067784952807500,-25679245305449531250, %X A013438 -13515821293834796365000,-8355912675896675805093750 %N A013438 sech(arcsin(x)-arctanh(x))=1-10/6!*x^6-840/8!*x^8-87750/10!*x^10... %R A013438 %O A013438 0,4 %K A013438 sign,done %A A013438 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013439 %S A013439 1,0,1,0,9,8,225,616,11025,57584,901089,7218288,111426777,1206961208, %T A013439 19455493057,263225301400,4553837345057,73099331076960, %U A013439 1373357039852353,25286525625615712,517610171023053737 %V A013439 1,0,1,0,9,-8,225,-616,11025,-57584,901089,-7218288,111426777, %W A013439 -1206961208,19455493057,-263225301400,4553837345057,-73099331076960, %X A013439 1373357039852353,-25286525625615712,517610171023053737 %N A013439 exp(tan(x)-log(x+1))=1+1/2!*x^2+9/4!*x^4-8/5!*x^5+225/6!*x^6... %R A013439 %O A013439 0,5 %K A013439 sign,done %A A013439 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013440 %S A013440 1,0,0,4,0,8,160,992,1792,14464,484224,3391232,30840832,175044608, %T A013440 7718963200,53080130560,1315838558208,6862446264320,426971596029952, %U A013440 2514483259473920,136067874243248128,618017582260289536 %V A013440 1,0,0,4,0,-8,160,992,-1792,-14464,484224,3391232,-30840832, %W A013440 -175044608,7718963200,53080130560,-1315838558208,-6862446264320, %X A013440 426971596029952,2514483259473920,-136067874243248128 %N A013440 exp(tan(x)-arctan(x))=1+4/3!*x^3-8/5!*x^5+160/6!*x^6+992/7!*x^7... %R A013440 %O A013440 0,4 %K A013440 sign,done %A A013440 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013441 %S A013441 4,8,992,50304,4573952,738222080,127954033664,34953731964928, %T A013441 10769261343309824,4380269574963986432,2085941501322197073920, %U A013441 1202553346613607891730432,808239805736578791916961792 %V A013441 4,-8,992,-50304,4573952,-738222080,127954033664,-34953731964928, %W A013441 10769261343309824,-4380269574963986432,2085941501322197073920, %X A013441 -1202553346613607891730432,808239805736578791916961792 %N A013441 sin(tan(x)-arctan(x))=4/3!*x^3-8/5!*x^5+992/7!*x^7-50304/9!*x^9... %R A013441 %O A013441 0,1 %K A013441 sign,done %A A013441 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013442 %S A013442 4,8,992,14464,3391232,175044608,64560399360,8423762821120, %T A013442 4197760943882240,1054662864854450176,677817013904397697024, %U A013442 277456857021505605206016,226696976060712490528407552 %V A013442 4,-8,992,-14464,3391232,-175044608,64560399360,-8423762821120, %W A013442 4197760943882240,-1054662864854450176,677817013904397697024, %X A013442 -277456857021505605206016,226696976060712490528407552 %N A013442 arcsin(tan(x)-arctan(x))=4/3!*x^3-8/5!*x^5+992/7!*x^7-14464/9!*x^9... %R A013442 %O A013442 0,1 %K A013442 sign,done %A A013442 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013443 %S A013443 4,8,992,3456,2799872,106544128,37168683008,4255728041984, %T A013443 1543239875821568,355403465489907712,155864209273777553408, %U A013443 58585654628727325196288,32351390426329866422976512 %V A013443 4,-8,992,3456,2799872,106544128,37168683008,4255728041984, %W A013443 1543239875821568,355403465489907712,155864209273777553408, %X A013443 58585654628727325196288,32351390426329866422976512 %N A013443 tan(tan(x)-arctan(x))=4/3!*x^3-8/5!*x^5+992/7!*x^7+3456/9!*x^9... %R A013443 %O A013443 0,1 %K A013443 sign,done %A A013443 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013444 %S A013444 1,0,0,160,1792,484224,38725632,8292976640,1743232565248, %T A013444 521161362997248,188842450602393600,83511992640895975424, %U A013444 44545415648776825077760,27875257165637958804439040 %V A013444 1,0,0,-160,1792,-484224,38725632,-8292976640,1743232565248, %W A013444 -521161362997248,188842450602393600,-83511992640895975424, %X A013444 44545415648776825077760,-27875257165637958804439040 %N A013444 cos(tan(x)-arctan(x))=1-160/6!*x^6+1792/8!*x^8-484224/10!*x^10... %R A013444 %O A013444 0,4 %K A013444 sign,done %A A013444 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013445 %S A013445 4,8,992,68224,5165312,1019810816,186916489216,51926843359232, %T A013445 18052796043493376,7489482677372846080,3888725315407646818304, %U A013445 2359682003031000489132032,1689998575261701932163530752 %V A013445 4,-8,992,-68224,5165312,-1019810816,186916489216,-51926843359232, %W A013445 18052796043493376,-7489482677372846080,3888725315407646818304, %X A013445 -2359682003031000489132032,1689998575261701932163530752 %N A013445 tanh(tan(x)-arctan(x))=4/3!*x^3-8/5!*x^5+992/7!*x^7-68224/9!*x^9... %R A013445 %O A013445 0,1 %K A013445 sign,done %A A013445 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013446 %S A013446 1,0,0,160,1792,484224,30840832,7718963200,1315838558208, %T A013446 426971596029952,136067874243248128,61019499461102272512, %U A013446 30246038986591439945728,18590454932996390870056960 %V A013446 1,0,0,160,-1792,484224,-30840832,7718963200,-1315838558208, %W A013446 426971596029952,-136067874243248128,61019499461102272512, %X A013446 -30246038986591439945728,18590454932996390870056960 %N A013446 cosh(tan(x)-arctan(x))=1+160/6!*x^6-1792/8!*x^8+484224/10!*x^10... %R A013446 %O A013446 0,4 %K A013446 sign,done %A A013446 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013447 %S A013447 1,0,0,160,1792,484224,15071232,6570936320,461050544128, %T A013447 285431558799360,41198126773469184,31834693166688370688, %U A013447 8575650915562515595264,7808988993818084822220800 %V A013447 1,0,0,160,-1792,484224,-15071232,6570936320,-461050544128, %W A013447 285431558799360,-41198126773469184,31834693166688370688, %X A013447 -8575650915562515595264,7808988993818084822220800 %N A013447 sec(tan(x)-arctan(x))=1+160/6!*x^6-1792/8!*x^8+484224/10!*x^10... %R A013447 %O A013447 0,4 %K A013447 sign,done %A A013447 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013448 %S A013448 1,0,0,160,1792,484224,54495232,9441003520,2598020579328, %T A013448 756380393635840,305071008569196544,144297159065656885248, %U A013448 81729693136918543335424,55094722790449057575731200 %V A013448 1,0,0,-160,1792,-484224,54495232,-9441003520,2598020579328, %W A013448 -756380393635840,305071008569196544,-144297159065656885248, %X A013448 81729693136918543335424,-55094722790449057575731200 %N A013448 sech(tan(x)-arctan(x))=1-160/6!*x^6+1792/8!*x^8-484224/10!*x^10... %R A013448 %O A013448 0,4 %K A013448 sign,done %A A013448 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013449 %S A013449 1,0,0,1,0,15,10,271,840,8215,60870,423091,4980580,35126715, %T A013449 501501130,4192844111,63445348720,652228720015,10063325322190, %U A013449 125163350892331,1976669210391260,28804173376146115 %N A013449 exp(tan(x)-sinh(x))=1+1/3!*x^3+15/5!*x^5+10/6!*x^6+271/7!*x^7... %R A013449 %O A013449 0,6 %K A013449 nonn %A A013449 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013450 %S A013450 1,0,0,3,0,7,90,497,1176,4471,185094,1537877,1964028,3633797, %T A013450 1848048202,22918664225,75962374768,1620122697905,67890529994062, %U A013450 1135357942624877,11941170933349628,252473078493886301 %V A013450 1,0,0,3,0,7,90,497,1176,4471,185094,1537877,1964028,-3633797, %W A013450 1848048202,22918664225,-75962374768,-1620122697905,67890529994062, %X A013450 1135357942624877,-11941170933349628,-252473078493886301 %N A013450 exp(tan(x)-arcsinh(x))=1+3/3!*x^3+7/5!*x^5+90/6!*x^6+497/7!*x^7... %R A013450 %O A013450 0,4 %K A013450 sign,done %A A013450 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013451 %S A013451 1,0,0,4,0,0,160,544,0,17920,261120,707584,3942400,149360640, %T A013451 1538068480,5242548224,111522611200,2782416732160,25458261360640, %U A013451 166243180478464,5279051703910400,109528131284500480 %N A013451 exp(tan(x)-tanh(x))=1+4/3!*x^3+160/6!*x^6+544/7!*x^7+17920/9!*x^9... %R A013451 %O A013451 0,4 %K A013451 nonn %A A013451 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013452 %S A013452 4,0,544,17920,707584,149360640,5242548224,2782416732160, %T A013452 166243180478464,109528131284500480,13239205658628194304, %U A013452 8328889253838297497600,1938205426199431158431744 %V A013452 4,0,544,-17920,707584,-149360640,5242548224,-2782416732160, %W A013452 166243180478464,-109528131284500480,13239205658628194304, %X A013452 -8328889253838297497600,1938205426199431158431744 %N A013452 sin(tan(x)-tanh(x))=4/3!*x^3+544/7!*x^7-17920/9!*x^9+707584/11!*x^11... %R A013452 %O A013452 0,1 %K A013452 sign,done %A A013452 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013453 %S A013453 4,0,544,35840,707584,298721280,26768052224,5564833464320, %T A013453 1787224334270464,379247341296680960,181364573942845538304, %U A013453 71776324876296729395200,35085662010847230106271744 %N A013453 tan(tan(x)-tanh(x))=4/3!*x^3+544/7!*x^7+35840/9!*x^9+707584/11!*x^11... %R A013453 %O A013453 0,1 %K A013453 nonn %A A013453 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013454 %S A013454 1,0,0,160,0,261120,3942400,1538068480,111522611200,25458261360640, %T A013454 5279051703910400,1021353507684352000,440307608869404672000, %U A013454 89935097031558126632960,62233557937327184019456000 %V A013454 1,0,0,-160,0,-261120,3942400,-1538068480,111522611200, %W A013454 -25458261360640,5279051703910400,-1021353507684352000, %X A013454 440307608869404672000,-89935097031558126632960 %N A013454 cos(tan(x)-tanh(x))=1-160/6!*x^6-261120/10!*x^10+3942400/12!*x^12... %R A013454 %O A013454 0,4 %K A013454 sign,done %A A013454 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013455 %S A013455 1,0,0,160,0,261120,19712000,1538068480,557613056000,72297758064640, %T A013455 26395258519552000,9009548633571328000,3030117499561574400000, %U A013455 1720760994441294994472960,838542041341593366036480000 %N A013455 sec(tan(x)-tanh(x))=1+160/6!*x^6+261120/10!*x^10+19712000/12!*x^12... %R A013455 %O A013455 0,4 %K A013455 nonn %A A013455 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013456 %S A013456 1,0,0,0,0,8,0,448,0,32384,8064,3275008,2838528,456633344,863070208, %T A013456 85339110400,280413765632,20783183790080,103486230003712, %U A013456 6429447050002432,44250652523855872,2470264983569432576 %V A013456 1,0,0,0,0,-8,0,-448,0,-32384,8064,-3275008,2838528,-456633344, %W A013456 863070208,-85339110400,280413765632,-20783183790080, %X A013456 103486230003712,-6429447050002432,44250652523855872 %N A013456 exp(tan(x)-arctanh(x))=1-8/5!*x^5-448/7!*x^7-32384/9!*x^9+8064/10!*x^10... %R A013456 %O A013456 0,6 %K A013456 sign,done %A A013456 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013457 %S A013457 8,448,32384,3275008,456633344,85209957376,20642665299968, %T A013457 6317122591227904,2385636036677599232,1090226048919008706560, %U A013457 593123978260373222981632,378879965375277796067115008 %N A013457 sin(tan(x)-arctanh(x))=-8/5!*x^5-448/7!*x^7-32384/9!*x^9... %R A013457 %O A013457 0,1 %K A013457 sign,done %A A013457 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013458 %S A013458 1,0,0,0,0,8064,2838528,863070208,280413765632,103486230003712, %T A013458 44246647746887680,22012763373859241984,12714213783118211448832, %U A013458 8481868824110022304727040,6494340221977598984831631360 %V A013458 1,0,0,0,0,-8064,-2838528,-863070208,-280413765632,-103486230003712, %W A013458 -44246647746887680,-22012763373859241984,-12714213783118211448832, %X A013458 -8481868824110022304727040,-6494340221977598984831631360 %N A013458 cos(tan(x)-arctanh(x))=1-8064/10!*x^10-2838528/12!*x^12... %R A013458 %O A013458 0,6 %K A013458 sign,done %A A013458 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013459 %S A013459 1,0,1,4,9,40,385,2700,15505,145360,1886625,19796500,190881625, %T A013459 2654379000,44269902625,625468889500,8553276590625,156119043652000, %U A013459 3194978818578625,57041478987070500,1012878775075155625 %V A013459 1,0,1,-4,9,-40,385,-2700,15505,-145360,1886625,-19796500,190881625, %W A013459 -2654379000,44269902625,-625468889500,8553276590625, %X A013459 -156119043652000,3194978818578625,-57041478987070500 %N A013459 exp(arctan(x)-log(x+1))=1+1/2!*x^2-4/3!*x^3+9/4!*x^4-40/5!*x^5... %R A013459 %O A013459 0,4 %K A013459 sign,done %A A013459 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013460 %S A013460 1,0,0,3,0,23,90,721,3864,32759,326214,2672461,38496876,310461227, %T A013460 6363118762,49895013169,1391451773264,10516703525327,390207547318222, %U A013460 2811203923750741,136581823796686036,926105108276716115 %V A013460 1,0,0,-3,0,23,90,-721,-3864,32759,326214,-2672461,-38496876, %W A013460 310461227,6363118762,-49895013169,-1391451773264,10516703525327, %X A013460 390207547318222,-2811203923750741,-136581823796686036 %N A013460 exp(arctan(x)-sinh(x))=1-3/3!*x^3+23/5!*x^5+90/6!*x^6-721/7!*x^7... %R A013460 %O A013460 0,4 %K A013460 sign,done %A A013460 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013461 %S A013461 1,0,0,1,0,15,10,495,840,29015,87750,2666475,12310100,354343275, %T A013461 2287605450,64350661375,549013374000,15319760415375,166031512396750, %U A013461 4630895520073875,61922192590147500,1733150999302701875 %V A013461 1,0,0,-1,0,15,10,-495,-840,29015,87750,-2666475,-12310100, %W A013461 354343275,2287605450,-64350661375,-549013374000,15319760415375, %X A013461 166031512396750,-4630895520073875,-61922192590147500 %N A013461 exp(arctan(x)-arcsinh(x))=1-1/3!*x^3+15/5!*x^5+10/6!*x^6-495/7!*x^7... %R A013461 %O A013461 0,6 %K A013461 sign,done %A A013461 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013462 %S A013462 1,0,0,4,0,0,160,1440,0,17920,691200,7257600,3942400,395366400, %T A013462 14125363200,175791616000,295206912000,24049778688000, %U A013462 902471385088000,13090802909184000,43911376404480000 %V A013462 1,0,0,-4,0,0,160,-1440,0,-17920,691200,-7257600,3942400,-395366400, %W A013462 14125363200,-175791616000,295206912000,-24049778688000, %X A013462 902471385088000,-13090802909184000,43911376404480000 %N A013462 exp(arctan(x)-atanh(x))=1-4/3!*x^3+160/6!*x^6-1440/7!*x^7... %R A013462 %O A013462 0,4 %K A013462 sign,done %A A013462 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013463 %S A013463 4,0,1440,17920,7257600,395366400,175791616000,24049778688000, %T A013463 13090802909184000,3482386518507520000,2338795470534082560000, %U A013463 1043344639170183168000000,855872901958901432320000000 %V A013463 -4,0,-1440,17920,-7257600,395366400,-175791616000,24049778688000, %W A013463 -13090802909184000,3482386518507520000,-2338795470534082560000, %X A013463 1043344639170183168000000,-855872901958901432320000000 %N A013463 sin(arctan(x)-atanh(x))=-4/3!*x^3-1440/7!*x^7+17920/9!*x^9... %R A013463 %O A013463 0,1 %K A013463 sign,done %A A013463 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013464 %S A013464 4,0,1440,35840,7257600,790732800,208797388800,48099557376000, %T A013464 19670079356928000,7390762646372352000,4427057815048028160000, %U A013464 2474680614543006105600000,2020995311309719496294400000 %V A013464 -4,0,-1440,35840,-7257600,790732800,-208797388800,48099557376000, %W A013464 -19670079356928000,7390762646372352000,-4427057815048028160000, %X A013464 2474680614543006105600000,-2020995311309719496294400000 %N A013464 arctan(atan(x)-atanh(x))=-4/3!*x^3-1440/7!*x^7+35840/9!*x^9... %R A013464 %O A013464 0,1 %K A013464 sign,done %A A013464 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013465 %S A013465 1,0,0,160,0,691200,3942400,14125363200,295206912000,902471385088000, %T A013465 43911376404480000,140627264197754880000,12856220870209699840000, %U A013465 45500991975079280640000000,6879896103927262740480000000 %V A013465 1,0,0,-160,0,-691200,3942400,-14125363200,295206912000, %W A013465 -902471385088000,43911376404480000,-140627264197754880000, %X A013465 12856220870209699840000,-45500991975079280640000000 %N A013465 cos(arctan(x)-atanh(x))=1-160/6!*x^6-691200/10!*x^10+3942400/12!*x^12... %R A013465 %O A013465 0,4 %K A013465 sign,done %A A013465 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013466 %S A013466 1,0,0,160,0,691200,19712000,14125363200,1476034560000, %T A013466 949310881792000,219556882022400000,161772486589808640000, %U A013466 65109683806263050240000,58457850571785240576000000 %N A013466 sec(arctan(x)-atanh(x))=1+160/6!*x^6+691200/10!*x^10+19712000/12!*x^12... %R A013466 %O A013466 0,4 %K A013466 nonn %A A013466 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013467 %S A013467 1,4,7,53,215,1895,12122,132205,1144627,14912291,164213696, %T A013467 2477432371,33228911417,569758644845,9014907260096,173288317530505, %U A013467 3159048447572983,67337939660404735,1389152842003647000 %N A013467 log(cos(x)-log(x+1))=-1/2!*x^2-4/3!*x^3-7/4!*x^4-53/5!*x^5... %R A013467 %O A013467 0,2 %K A013467 sign,done %A A013467 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013468 %S A013468 1,1,1,4,5,32,55,390,961,6432,22463,134550,649761,3443208,22456551, %T A013468 105379838,911433121,3787776224,42942180863,157078439014, %U A013468 2324211078513,7384507525560,143088139308519,386932432900142 %V A013468 1,-1,-1,4,5,-32,-55,390,961,-6432,-22463,134550,649761,-3443208, %W A013468 -22456551,105379838,911433121,-3787776224,-42942180863, %X A013468 157078439014,2324211078513,-7384507525560,-143088139308519 %N A013468 exp(cos(x)-exp(x))=1-x-1/2!*x^2+4/3!*x^3+5/4!*x^4-32/5!*x^5... %R A013468 %O A013468 0,4 %K A013468 sign,done %A A013468 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013469 %S A013469 1,2,12,122,1792,35282,889152,27747722,1045556992,46640267042, %T A013469 2424156352512,144890071612442,9849171061952512,754330752297972722, %U A013469 64566114865428283392 %V A013469 1,-2,12,-122,1792,-35282,889152,-27747722,1045556992,-46640267042, %W A013469 2424156352512,-144890071612442,9849171061952512,-754330752297972722, %X A013469 64566114865428283392 %N A013469 exp(cos(x)-cosh(x))=1-2/2!*x^2+12/4!*x^4-122/6!*x^6+1792/8!*x^8... %R A013469 %O A013469 0,2 %K A013469 sign,done %A A013469 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013470 %S A013470 118,25202,7567558,2826256798,14573118501482,6535594068553682 %V A013470 118,-25202,7567558,2826256798,-14573118501482,-6535594068553682 %W A013470 %X A013470 %N A013470 sin(cos(x)-cosh(x))=118/6!*x^6-25202/10!*x^10+7567558/14!*x^14... %R A013470 %O A013470 0,1 %K A013470 sign,done %A A013470 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013471 %S A013471 122,277202,3983059082,200112585065762,26008401336337737242, %T A013471 7277388248057262118433522 %N A013471 arcsin(cos(x)-cosh(x))=-122/6!*x^6-277202/10!*x^10-3983059082/14!*x^14... %R A013471 %O A013471 0,1 %K A013471 sign,done %A A013471 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013472 %S A013472 242,493922,4867022162,146803464634562,10586916198380287922, %T A013472 1560405836504795306526242 %N A013472 tan(cos(x)-cosh(x))=-242/6!*x^6-493922/10!*x^10-4867022162/14!*x^14... %R A013472 %O A013472 0,1 %K A013472 sign,done %A A013472 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013473 %S A013473 238,715682,12212600398,693692750003522,99086243037690160558, %T A013473 29914788669101073817179362 %V A013473 238,-715682,12212600398,-693692750003522,99086243037690160558, %W A013473 -29914788669101073817179362 %X A013473 %N A013473 arctan(cos(x)-cosh(x))=238/6!*x^6-715682/10!*x^10+12212600398/14!*x^14... %R A013473 %O A013473 0,1 %K A013473 sign,done %A A013473 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013474 %S A013474 1,12,1568,445632,76844288,278739068928,467851397312512, %T A013474 2679102291371999232 %V A013474 1,-12,1568,-445632,76844288,278739068928,-467851397312512, %W A013474 -2679102291371999232 %X A013474 %N A013474 cos(cos(x)-cosh(x))=1-12/4!*x^4+1568/8!*x^8-445632/12!*x^12... %R A013474 %O A013474 0,2 %K A013474 sign,done %A A013474 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013475 %S A013475 122,35282,27747722,46640267042,144890071612442,754330752297972722 %N A013475 sinh(cos(x)-cosh(x))=-122/6!*x^6-35282/10!*x^10-27747722/14!*x^14... %R A013475 %O A013475 0,1 %K A013475 sign,done %A A013475 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013476 %S A013476 118,267122,3801437638,188997287445602,24300893634392843158, %T A013476 6725983870126469414416082 %V A013476 118,-267122,3801437638,-188997287445602,24300893634392843158, %W A013476 -6725983870126469414416082 %X A013476 %N A013476 arcsinh(cos(x)-cosh(x))=118/6!*x^6-267122/10!*x^10+3801437638/14!*x^14... %R A013476 %O A013476 0,1 %K A013476 sign,done %A A013476 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013477 %S A013477 238,473762,4544139598,133366253033282,9357776691549409198, %T A013477 1341930712996828590536162 %V A013477 238,-473762,4544139598,-133366253033282,9357776691549409198, %W A013477 -1341930712996828590536162 %X A013477 %N A013477 tanh(cos(x)-cosh(x))=238/6!*x^6-473762/10!*x^10+4544139598/14!*x^14... %R A013477 %O A013477 0,1 %K A013477 sign,done %A A013477 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013478 %S A013478 242,735842,12696924242,729261623797442,105330801708282667442, %T A013478 32155390653420235027326242 %N A013478 arctanh(cos(x)-cosh(x))=-242/6!*x^6-735842/10!*x^10... %R A013478 %O A013478 0,1 %K A013478 sign,done %A A013478 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013479 %S A013479 1,12,1792,889152,1045556992,2424156352512,9849171061952512, %T A013479 64566114865428283392 %N A013479 cosh(cos(x)-cosh(x))=1+12/4!*x^4+1792/8!*x^8+889152/12!*x^12... %R A013479 %O A013479 0,2 %K A013479 nonn %A A013479 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013480 %S A013480 1,12,8512,41692992,748457181952,35753146158600192, %T A013480 3745546830245915840512,756079630242293501892083712 %N A013480 sec(cos(x)-cosh(x))=1+12/4!*x^4+8512/8!*x^8+41692992/12!*x^12... %R A013480 %O A013480 0,2 %K A013480 nonn %A A013480 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013481 %S A013481 1,12,8288,39475392,689369608448,32038788679636992, %T A013481 3265606511334528831488,641363922266872095050022912 %V A013481 1,-12,8288,-39475392,689369608448,-32038788679636992, %W A013481 3265606511334528831488,-641363922266872095050022912 %X A013481 %N A013481 sech(cos(x)-cosh(x))=1-12/4!*x^4+8288/8!*x^8-39475392/12!*x^12... %R A013481 %O A013481 0,2 %K A013481 sign,done %A A013481 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013482 %S A013482 1,0,4,60,824,120,1331156,151389420,15474229936,1609208740560, %T A013482 165275248217516,13317787644945300,752763454703346104, %U A013482 1012558531283275284360,490748297800639153012924 %V A013482 1,0,-4,60,-824,120,1331156,-151389420,15474229936,-1609208740560, %W A013482 165275248217516,-13317787644945300,-752763454703346104, %X A013482 1012558531283275284360,-490748297800639153012924 %N A013482 exp(cos(x)-sech(x))=1-4/4!*x^4+60/6!*x^6-824/8!*x^8+120/10!*x^10... %R A013482 %O A013482 0,3 %K A013482 sign,done %A A013482 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013483 %S A013483 4,60,1384,50520,2333164,98460180,2691348656,2502877578960, %T A013483 816953866876076,250462447769994900,80927047278922241096, %U A013483 28429551522622456235640,10951929595731882160395716 %V A013483 -4,60,-1384,50520,-2333164,98460180,2691348656,-2502877578960, %W A013483 816953866876076,-250462447769994900,80927047278922241096, %X A013483 -28429551522622456235640,10951929595731882160395716 %N A013483 sin(cos(x)-sech(x))=-4/4!*x^4+60/6!*x^6-1384/8!*x^8+50520/10!*x^10... %R A013483 %O A013483 0,1 %K A013483 sign,done %A A013483 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013484 %S A013484 4,60,1384,50520,3072364,300261780,41474372944,7312636929840, %T A013484 1583769010071124,419274242117870700,135426142315445694904, %U A013484 52712459533258432020360,24241226489057470908932284 %V A013484 -4,60,-1384,50520,-3072364,300261780,-41474372944,7312636929840, %W A013484 -1583769010071124,419274242117870700,-135426142315445694904, %X A013484 52712459533258432020360,-24241226489057470908932284 %N A013484 arcsin(cos(x)-sech(x))=-4/4!*x^4+60/6!*x^6-1384/8!*x^8+50520/10!*x^10... %R A013484 %O A013484 0,1 %K A013484 sign,done %A A013484 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013485 %S A013485 4,60,1384,50520,3441964,401162580,63557233744,12220394184240, %T A013485 2791952278560724,763176800730283500,250643745125452446904, %U A013485 98116093958813794548360,45044453508933100607756284 %V A013485 -4,60,-1384,50520,-3441964,401162580,-63557233744,12220394184240, %W A013485 -2791952278560724,763176800730283500,-250643745125452446904, %X A013485 98116093958813794548360,-45044453508933100607756284 %N A013485 tan(cos(x)-sech(x))=-4/4!*x^4+60/6!*x^6-1384/8!*x^8+50520/10!*x^10... %R A013485 %O A013485 0,1 %K A013485 sign,done %A A013485 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013486 %S A013486 4,60,1384,50520,1963564,2440620,24774209456,7410634833360, %T A013486 1946918835205676,504022869697607700,125734569960701153096, %U A013486 25506896972028634763640,308739978510619283180284 %V A013486 -4,60,-1384,50520,-1963564,-2440620,24774209456,-7410634833360, %W A013486 1946918835205676,-504022869697607700,125734569960701153096, %X A013486 -25506896972028634763640,-308739978510619283180284 %N A013486 arctan(cos(x)-sech(x))=-4/4!*x^4+60/6!*x^6-1384/8!*x^8+50520/10!*x^10... %R A013486 %O A013486 0,1 %K A013486 sign,done %A A013486 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013487 %S A013487 1,0,0,0,560,50400,4403520,451651200,55603258880,8098495142400, %T A013487 1364657183216640,258905686980864000,53203592135631564800, %U A013487 11000355030582368256000,1812425415209721012879360 %V A013487 1,0,0,0,-560,50400,-4403520,451651200,-55603258880,8098495142400, %W A013487 -1364657183216640,258905686980864000,-53203592135631564800, %X A013487 11000355030582368256000,-1812425415209721012879360 %N A013487 cos(cos(x)-sech(x))=1-560/8!*x^8+50400/10!*x^10-4403520/12!*x^12... %R A013487 %O A013487 0,5 %K A013487 sign,done %A A013487 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013488 %S A013488 1,0,1,1,9,33,235,1517,12593,111465,1122819,12313409,147949593, %T A013488 1922353925,26918452691,403744456541,6460109224801,109820584161393, %U A013488 1976779056442179,37558742545087481,751175283283221129 %V A013488 1,0,1,-1,9,-33,235,-1517,12593,-111465,1122819,-12313409,147949593, %W A013488 -1922353925,26918452691,-403744456541,6460109224801, %X A013488 -109820584161393,1976779056442179,-37558742545087481 %N A013488 exp(sinh(x)-log(x+1))=1+1/2!*x^2-1/3!*x^3+9/4!*x^4-33/5!*x^5... %R A013488 %O A013488 0,5 %K A013488 sign,done %A A013488 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013489 %S A013489 1,0,0,2,0,8,40,226,896,8784,62304,745186,6036096,87930776,878453888, %T A013489 14731669954,172356091904,3284180017312,44229410876928, %U A013489 942576417055042,14356887611836416,338316707471357480 %V A013489 1,0,0,2,0,-8,40,226,-896,-8784,62304,745186,-6036096,-87930776, %W A013489 878453888,14731669954,-172356091904,-3284180017312,44229410876928, %X A013489 942576417055042,-14356887611836416,-338316707471357480 %N A013489 exp(sinh(x)-arcsinh(x))=1+2/3!*x^3-8/5!*x^5+40/6!*x^6+226/7!*x^7... %R A013489 %O A013489 0,4 %K A013489 sign,done %A A013489 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013490 %S A013490 1,0,0,3,0,15,90,273,2520,375,126630,269907,7232940,44118165, %T A013490 525494970,6182721087,41497943760,965945373105,2901128941710, %U A013490 171088458444267,81569169583020,34527329266886445,147991203194615550 %V A013490 1,0,0,3,0,-15,90,273,-2520,-375,126630,-269907,-7232940,44118165, %W A013490 525494970,-6182721087,-41497943760,965945373105,2901128941710, %X A013490 -171088458444267,81569169583020,34527329266886445 %N A013490 exp(sinh(x)-tanh(x))=1+3/3!*x^3-15/5!*x^5+90/6!*x^6+273/7!*x^7... %R A013490 %O A013490 0,4 %K A013490 sign,done %A A013490 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013491 %S A013491 1,0,0,1,0,23,10,719,1288,40599,152934,3735059,21982884,510402683, %T A013491 4077409466,96691506911,972083601136,24171783139087,292315200462606, %U A013491 7694747756773355,108645176948603484,3036089243696854595 %V A013491 1,0,0,-1,0,-23,10,-719,1288,-40599,152934,-3735059,21982884, %W A013491 -510402683,4077409466,-96691506911,972083601136,-24171783139087, %X A013491 292315200462606,-7694747756773355,108645176948603484 %N A013491 exp(sinh(x)-arctanh(x))=1-1/3!*x^3-23/5!*x^5+10/6!*x^6-719/7!*x^7... %R A013491 %O A013491 0,6 %K A013491 sign,done %A A013491 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013492 %S A013492 1,0,1,3,9,45,315,2205,16065,144585,1545075,16995825,194126625, %T A013492 2523646125,36735774075,551036611125,8542663754625,145225283828625, %U A013492 2683905224875875,50994199272641625,997322397997550625 %V A013492 1,0,1,-3,9,-45,315,-2205,16065,-144585,1545075,-16995825,194126625, %W A013492 -2523646125,36735774075,-551036611125,8542663754625, %X A013492 -145225283828625,2683905224875875,-50994199272641625 %N A013492 exp(arcsinh(x)-log(x+1))=1+1/2!*x^2-3/3!*x^3+9/4!*x^4-45/5!*x^5... %R A013492 %O A013492 0,4 %K A013492 sign,done %A A013492 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013493 %S A013493 1,0,0,1,0,7,10,47,392,3369,11814,571573,434412,88260053,239703334, %T A013493 16363524721,66778596688,3810346797553,19103113532274, %U A013493 1115878992933037,6219304575954900,405808123338059597 %V A013493 1,0,0,1,0,-7,10,47,-392,3369,11814,-571573,434412,88260053, %W A013493 -239703334,-16363524721,66778596688,3810346797553,-19103113532274, %X A013493 -1115878992933037,6219304575954900,405808123338059597 %N A013493 exp(arcsinh(x)-tanh(x))=1+1/3!*x^3-7/5!*x^5+10/6!*x^6+47/7!*x^7... %R A013493 %O A013493 0,6 %K A013493 sign,done %A A013493 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013494 %S A013494 1,0,0,3,0,15,90,945,2520,36855,368550,5145525,31808700,541215675, %T A013494 7577019450,134726216625,1338322986000,27408165159375, %U A013494 493346972868750,10700744687758125,147490229469082500 %V A013494 1,0,0,-3,0,-15,90,-945,2520,-36855,368550,-5145525,31808700, %W A013494 -541215675,7577019450,-134726216625,1338322986000,-27408165159375, %X A013494 493346972868750,-10700744687758125,147490229469082500 %N A013494 exp(arcsinh(x)-arctanh(x))=1-3/3!*x^3-15/5!*x^5+90/6!*x^6-945/7!*x^7... %R A013494 %O A013494 0,4 %K A013494 sign,done %A A013494 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013495 %S A013495 1,0,1,4,9,48,385,2420,17297,170688,1760289,18395012,219987801, %T A013495 2936841776,40948952993,606801250484,9752505856033,166636197964032, %U A013495 2990053004436417,56703580249101188,1136188531912802985 %V A013495 1,0,1,-4,9,-48,385,-2420,17297,-170688,1760289,-18395012,219987801, %W A013495 -2936841776,40948952993,-606801250484,9752505856033, %X A013495 -166636197964032,2990053004436417,-56703580249101188 %N A013495 exp(tanh(x)-log(x+1))=1+1/2!*x^2-4/3!*x^3+9/4!*x^4-48/5!*x^5... %R A013495 %O A013495 0,4 %K A013495 sign,done %A A013495 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013496 %S A013496 1,0,0,4,0,8,160,992,1792,50304,484224,4573952,38725632,738222080, %T A013496 8292976640,127954033664,1743232565248,34953731964928, %U A013496 521161362997248,10769261343309824,188842450602393600 %V A013496 1,0,0,-4,0,-8,160,-992,1792,-50304,484224,-4573952,38725632, %W A013496 -738222080,8292976640,-127954033664,1743232565248,-34953731964928, %X A013496 521161362997248,-10769261343309824,188842450602393600 %N A013496 exp(tanh(x)-arctanh(x))=1-4/3!*x^3-8/5!*x^5+160/6!*x^6-992/7!*x^7... %R A013496 %O A013496 0,4 %K A013496 sign,done %A A013496 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013497 %S A013497 1,2,5,13,63,453,1822,9683,174325,960133,2767796,180618579, %T A013497 1333355779,2799332651,400791892784,3944083024649,32532084129049, %U A013497 1656524167774985,21382796711385164,305269868753768647 %V A013497 1,2,5,-13,-63,-453,1822,9683,174325,-960133,-2767796,-180618579, %W A013497 1333355779,-2799332651,400791892784,-3944083024649,32532084129049, %X A013497 -1656524167774985,21382796711385164,-305269868753768647 %N A013497 log(cosh(x)-log(x+1))=1/2!*x^2+2/3!*x^3+5/4!*x^4-13/5!*x^5... %R A013497 %O A013497 0,2 %K A013497 sign,done %A A013497 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013500 %S A013500 1,2,9,7,3,593,1554,11125,167725,778307,16757708,89177255,119165473, %T A013500 33154669351,100077477488,2532930861593,104388972197833, %U A013500 390031832553017,23726173002432588,516211740521004739 %V A013500 1,2,9,7,-3,-593,-1554,-11125,167725,778307,16757708,-89177255, %W A013500 -119165473,-33154669351,100077477488,-2532930861593, %X A013500 104388972197833,-390031832553017,23726173002432588 %N A013500 log(sec(x)-log(x+1))=1/2!*x^2+2/3!*x^3+9/4!*x^4+7/5!*x^5-3/6!*x^6... %R A013500 %O A013500 0,2 %K A013500 sign,done %A A013500 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) (There is a missing -1 and the offset and signs are wrong. Corrected Dec 17 2011) %I A013501 %S A013501 1,1,1,2,9,32,157,828,5481,35496,290649,2290840,22092829,204459452, %T A013501 2273871485,24119527604,303515669169,3629239434576,50931449481777, %U A013501 677485393669744,10484228007290613,153504673218503140 %V A013501 1,-1,1,-2,9,-32,157,-828,5481,-35496,290649,-2290840,22092829, %W A013501 -204459452,2273871485,-24119527604,303515669169,-3629239434576, %X A013501 50931449481777,-677485393669744,10484228007290613 %N A013501 exp(sec(x)-exp(x))=1-x+1/2!*x^2-2/3!*x^3+9/4!*x^4-32/5!*x^5... %R A013501 %O A013501 0,4 %K A013501 sign,done %A A013501 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013502 %S A013502 1,0,4,60,1944,100920,7475884,751912980,98422975824,16234482600240, %T A013502 3291096841607764,803683798982126700,232547478441133195704, %U A013502 78638339747954023956360,30716698087655852509331644 %N A013502 exp(sec(x)-cosh(x))=1+4/4!*x^4+60/6!*x^6+1944/8!*x^8+100920/10!*x^10... %R A013502 %O A013502 0,3 %K A013502 nonn %A A013502 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013503 %S A013503 1,2,12,242,8512,438722,34406592,3496736882,471749623552, %T A013503 79119810366722,16325059994068992,4053422315328489842, %U A013503 1187794482738667098112,407438035244753039317442 %N A013503 exp(sec(x)-sech(x))=1+2/2!*x^2+12/4!*x^4+242/6!*x^6+8512/8!*x^8... %R A013503 %O A013503 0,2 %K A013503 nonn %A A013503 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013504 %S A013504 2,2,176158,1468303198,23972242057918,659094144077286718, %T A013504 17783195610659060805598 %V A013504 2,2,-176158,-1468303198,-23972242057918,-659094144077286718, %W A013504 -17783195610659060805598 %X A013504 %N A013504 sin(sec(x)-sech(x))=2/2!*x^2+2/6!*x^6-176158/10!*x^10... %R A013504 %O A013504 0,1 %K A013504 sign,done %A A013504 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013505 %S A013505 2,242,680642,12295286642,793097630442242,133559779986589891442, %T A013505 48615807873566074448898242 %N A013505 arcsin(sec(x)-sech(x))=2/2!*x^2+242/6!*x^6+680642/10!*x^10... %R A013505 %O A013505 0,1 %K A013505 nonn %A A013505 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013506 %S A013506 2,362,1199762,19881945722,1018678051268642,125201903398211562122, %T A013506 31486196823329536613622962 %N A013506 tan(sec(x)-sech(x))=2/2!*x^2+362/6!*x^6+1199762/10!*x^10... %R A013506 %O A013506 0,1 %K A013506 nonn %A A013506 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013507 %S A013507 2,118,211922,2213888038,77172528228002,6766445807663391958, %T A013507 1253992673039461505620082 %V A013507 2,-118,211922,-2213888038,77172528228002,-6766445807663391958, %W A013507 1253992673039461505620082 %X A013507 %N A013507 arctan(sec(x)-sech(x))=2/2!*x^2-118/6!*x^6+211922/10!*x^10... %R A013507 %O A013507 0,1 %K A013507 sign,done %A A013507 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013508 %S A013508 1,12,5152,7351872,23844355328,2971598628507648, %T A013508 259172055916070309888,31874732857037574011240448 %V A013508 1,-12,-5152,-7351872,23844355328,2971598628507648, %W A013508 259172055916070309888,31874732857037574011240448 %X A013508 %N A013508 cos(sec(x)-sech(x))=1-12/4!*x^4-5152/8!*x^8-7351872/12!*x^12... %R A013508 %O A013508 0,2 %K A013508 sign,done %A A013508 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013509 %S A013509 2,242,438722,3496736882,79119810366722,4053422315328489842, %T A013509 407438035244753039317442 %N A013509 sinh(sec(x)-sech(x))=2/2!*x^2+242/6!*x^6+438722/10!*x^10... %R A013509 %O A013509 0,1 %K A013509 nonn %A A013509 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013510 %S A013510 2,2,65762,418934878,14989881142082,1159565898643479358, %T A013510 201365713271464069504802 %V A013510 2,2,65762,-418934878,14989881142082,-1159565898643479358, %W A013510 201365713271464069504802 %X A013510 %N A013510 arcsinh(sec(x)-sech(x))=2/2!*x^2+2/6!*x^6+65762/10!*x^10... %R A013510 %O A013510 0,1 %K A013510 sign,done %A A013510 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) (This one is OK) %I A013511 %S A013511 2,118,29998,611334362,1141045350238,231711278648170198, %T A013511 7649386255065750464882 %V A013511 2,-118,-29998,611334362,-1141045350238,-231711278648170198, %W A013511 7649386255065750464882 %X A013511 %N A013511 tanh(sec(x)-sech(x))=2/2!*x^2-118/6!*x^6-29998/10!*x^10... %R A013511 %O A013511 0,1 %K A013511 sign,done %A A013511 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013512 %S A013512 2,362,1441682,32555086202,2447023018597922,462534850269339720842, %T A013512 184789477601927787169878962 %N A013512 arctanh(sec(x)-sech(x))=2/2!*x^2+362/6!*x^6+1441682/10!*x^10... %R A013512 %O A013512 0,1 %K A013512 nonn %A A013512 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013513 %S A013513 1,12,8512,34406592,471749623552,16325059994068992, %T A013513 1187794482738667098112,160833904474220565517811712 %N A013513 cosh(sec(x)-sech(x))=1+12/4!*x^4+8512/8!*x^8+34406592/12!*x^12... %R A013513 %O A013513 0,2 %K A013513 nonn %A A013513 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013514 %S A013514 1,12,15232,128432832,3951670227712,322851365262723072, %T A013514 57788996387839852122112,19922979338554898934445228032 %N A013514 sec(sec(x)-sech(x))=1+12/4!*x^4+15232/8!*x^8+128432832/12!*x^12... %R A013514 %O A013514 0,2 %K A013514 nonn %A A013514 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013515 %S A013515 1,12,1568,6840768,41485549312,616649036623872,51689032519042469888, %T A013515 309411873154808535072768 %V A013515 1,-12,1568,6840768,-41485549312,-616649036623872, %W A013515 51689032519042469888,309411873154808535072768 %X A013515 %N A013515 sech(sec(x)-sech(x))=1-12/4!*x^4+1568/8!*x^8+6840768/12!*x^12... %R A013515 %O A013515 0,2 %K A013515 sign,done %A A013515 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013516 %S A013516 1,1,0,0,0,1,2,7,23,81,317,1315,6056,29490,156130,873019,5222053, %T A013516 32927732,219608613,1539722693,11329325209,87349056771,702896988285, %U A013516 5906687034102,51598761563750,469165708349731,4421165829768128 %N A013516 exp(cosec(x)-cotan(x))=1+x+1/5!*x^5+2/6!*x^6+7/7!*x^7+23/8!*x^8... %R A013516 %O A013516 0,7 %K A013516 nonn %A A013516 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013517 %S A013517 1,0,0,2,29,472,9399,226838,6436145,204900427,6710520010, %T A013517 169838964895,4892457927484,1766066623281321 %V A013517 1,0,-0,-2,-29,-472,-9399,-226838,-6436145,-204900427,-6710520010, %W A013517 -169838964895,4892457927484,1766066623281321 %X A013517 %N A013517 sin(cosec(x)-cotan(x))=x-2/7!*x^7-29/9!*x^9-472/11!*x^11... %R A013517 %O A013517 0,4 %K A013517 sign,done %A A013517 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013518 %S A013518 1,0,1,13,260,8344,403168,27349840,2477492109,288775951845, %T A013518 42093519538115,7501311247733691,1604410485932111420, %U A013518 405597224742782782748 %N A013518 arcsin(cosec(x)-cotan(x))=x+1/5!*x^5+13/7!*x^7+260/9!*x^9+8344/11!*x^11... %R A013518 %O A013518 0,4 %K A013518 nonn %A A013518 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013519 %S A013519 1,0,2,22,398,10796,416548,21667424,1460906463,123895148145, %T A013519 12905943055137,1619822967628619,241083450709124212, %U A013519 41982107936600149905 %N A013519 tan(cosec(x)-cotan(x))=x+2/5!*x^5+22/7!*x^7+398/9!*x^9+10796/11!*x^11... %R A013519 %O A013519 0,3 %K A013519 nonn %A A013519 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013521 %S A013521 1,0,0,1,8,52,183,10182,666593,35852656,2018858843,125071157012, %T A013521 8620041035346,659928772296573,55709294548178662 %V A013521 1,-0,-0,-1,-8,-52,-183,10182,666593,35852656,2018858843, %W A013521 125071157012,8620041035346,659928772296573,55709294548178662 %X A013521 %N A013521 cos(cosec(x)-cotan(x))=1-1/6!*x^6-8/8!*x^8-52/10!*x^10-183/12!*x^12... %R A013521 %O A013521 0,5 %K A013521 sign,done %A A013521 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013522 %S A013522 1,0,1,7,81,1315,29490,873019,32927732,1539722693,87349056771, %T A013522 5906687034102,469165708349731,43233351467889862 %N A013522 sinh(cosec(x)-cotan(x))=x+1/5!*x^5+7/7!*x^7+81/9!*x^9+1315/11!*x^11... %R A013522 %O A013522 0,4 %K A013522 nonn %A A013522 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013523 %S A013523 1,0,0,0,2,24,329,6084,147945,4586943,176606744,8267030047, %T A013523 462369148837,30451063135960 %N A013523 arcsinh(cosec(x)-cotan(x))=x+2/9!*x^9+24/11!*x^11+329/13!*x^13... %R A013523 %O A013523 0,5 %K A013523 nonn %A A013523 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013524 %S A013524 1,0,0,0,0,53,993,10799,73749,9826550,393425870,9111055933, %T A013524 61133749883,17593342728245 %V A013524 1,0,-0,-0,-0,53,993,10799,-73749,-9826550,-393425870,-9111055933, %W A013524 61133749883,17593342728245 %X A013524 %N A013524 tanh(cosec(x)-cotan(x))=x+53/11!*x^11+993/13!*x^13+10799/15!*x^15... %R A013524 %O A013524 0,6 %K A013524 sign,done %A A013524 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013525 %S A013525 1,0,2,30,692,25260,1351382,99680490,9695756072,1202439837720, %T A013525 185185594118762,34674437196568950,7757267081778543452, %U A013525 2043536254646561946180 %N A013525 arctanh(cosec(x)-cotan(x))=x+2/5!*x^5+30/7!*x^7+692/9!*x^9... %R A013525 %O A013525 0,3 %K A013525 nonn %A A013525 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013526 %S A013526 1,0,0,2,23,317,6056,156130,5222053,219608613,11329325209, %T A013526 702896988285,51598761563750,4421165829768128 %N A013526 cosh(cosec(x)-cotan(x))=1+2/6!*x^6+23/8!*x^8+317/10!*x^10... %R A013526 %O A013526 0,4 %K A013526 nonn %A A013526 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013527 %S A013527 1,0,0,6,86,1949,63978,2891775,172271714,13081394744,1233361971998, %T A013527 141367364921044,19359087198531895,3121647491681894455, %U A013527 585443826258761287500 %N A013527 sec(cosec(x)-cotan(x))=1+6/6!*x^6+86/8!*x^8+1949/10!*x^10... %R A013527 %O A013527 0,4 %K A013527 nonn %A A013527 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013528 %S A013528 1,0,0,0,2,24,148,797,56216,1231179,2073199,1267787055,60043234780, %T A013528 695957262334 %V A013528 1,-0,-0,0,2,24,148,-797,-56216,-1231179,-2073199,1267787055, %W A013528 60043234780,-695957262334 %X A013528 %N A013528 sech(cosec(x)-cotan(x))=1+2/8!*x^8+24/10!*x^10+148/12!*x^12... %R A013528 %O A013528 0,5 %K A013528 sign,done %A A013528 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013529 %S A013529 1,1,9,0,0,21,42,1,1,1958,9988,206,350,3190,28500,123635,340579, %T A013529 827754000,10134683676,185433755,755135726,2409296136229, %U A013529 33886941752432,587755907572,3311762975270,20386280235589 %N A013529 exp(cosec(x)-cosech(x))=1+x+9/2!*x^2+21/5!*x^5+42/6!*x^6+1/7!*x^7... %R A013529 %O A013529 0,3 %K A013529 nonn %A A013529 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013530 %S A013530 1,0,21,1,1958,206,3190,123635,827754000,185433755,2409296136229, %T A013530 587755907572,20386280235589,3504664356222853 %V A013530 1,-0,21,-1,1958,-206,3190,-123635,827754000,-185433755, %W A013530 2409296136229,-587755907572,20386280235589,-3504664356222853 %X A013530 %N A013530 sin(cosec(x)-cosech(x))=x+21/5!*x^5-1/7!*x^7+1958/9!*x^9-206/11!*x^11... %R A013530 %O A013530 0,3 %K A013530 sign,done %A A013530 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013531 %S A013531 1,0,21,1,2772,281,8000,255521,4367718461,705140399,27918839266101, %T A013531 4781541644580,524472263000036,67827241362679118 %N A013531 arcsin(cosec(x)-cosech(x))=x+21/5!*x^5+1/7!*x^7+2772/9!*x^9... %R A013531 %O A013531 0,3 %K A013531 nonn %A A013531 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013532 %S A013532 1,0,21,2,3399,499,10867,386756,5560448040,851066318,29099101102308, %T A013532 4367412770048,411109225002823,44984491359492820 %N A013532 tan(cosec(x)-cosech(x))=x+21/5!*x^5+2/7!*x^7+3399/9!*x^9+499/11!*x^11... %R A013532 %O A013532 0,3 %K A013532 nonn %A A013532 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013533 %S A013533 1,0,28,2,4334,657,17958,691186,12402153898,2201502851, %T A013533 92293363158988,16823861898189,1938814946059564,263007617927588825 %V A013533 1,-0,28,-2,4334,-657,17958,-691186,12402153898,-2201502851, %W A013533 92293363158988,-16823861898189,1938814946059564,-263007617927588825 %X A013533 %N A013533 arctan(cosec(x)-cosech(x))=x+28/5!*x^5-2/7!*x^7+4334/9!*x^9... %R A013533 %O A013533 0,3 %K A013533 sign,done %A A013533 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013534 %S A013534 1,9,0,42,1,9988,350,28500,340579,10134683676,755135726, %T A013534 33886941752432,3311762975270,295566625063709,26009482073116595 %V A013534 1,-9,0,-42,1,-9988,350,-28500,340579,-10134683676,755135726, %W A013534 -33886941752432,3311762975270,-295566625063709,26009482073116595 %X A013534 %N A013534 cos(cosec(x)-cosech(x))=1-9/2!*x^2-42/6!*x^6+1/8!*x^8-9988/10!*x^10... %R A013534 %O A013534 0,2 %K A013534 sign,done %A A013534 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013535 %S A013535 1,9,0,49,5,13805,2001,61346,2310393,39139717204,6659649648, %T A013535 249033626119192,41496912840373,4183398612326823,498795037496600869 %N A013535 sec(cosec(x)-cosech(x))=1+9/2!*x^2+49/6!*x^6+5/8!*x^8+13805/10!*x^10... %R A013535 %O A013535 0,2 %K A013535 nonn %A A013535 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) (This seems to be totally wrong) %I A013536 %S A013536 1,1,0,0,0,0,28,1,2,770,6688,60,182,2467,17958,6107,17685,908567327, %T A013536 5678176505,2220134,217978410,2972888028290,16282489132553, %U A013536 3106166724,1338392625706,24245415901777,119079250087729 %V A013536 1,-1,0,0,-0,0,28,1,-2,770,6688,60,-182,2467,17958,6107,17685, %W A013536 908567327,5678176505,-2220134,217978410,2972888028290, %X A013536 16282489132553,-3106166724,1338392625706,24245415901777 %N A013536 exp(cosec(x)-cotanh(x))=1-x+28/6!*x^6+1/7!*x^7-2/8!*x^8+770/9!*x^9... %R A013536 %O A013536 0,7 %K A013536 sign,done %A A013536 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) (This seems to be totally wrong) %I A013537 %S A013537 1,0,0,2,836,299,2907,126895,1186012376,152704013,4324761408100, %T A013537 425429094147,39425056468203,2396634582170486 %V A013537 -1,0,-0,2,-836,299,-2907,126895,-1186012376,152704013, %W A013537 -4324761408100,425429094147,-39425056468203,2396634582170486 %X A013537 %N A013537 sin(cosec(x)-cotanh(x))=-x+2/7!*x^7-836/9!*x^9+299/11!*x^11... %R A013537 %O A013537 0,4 %K A013537 sign,done %A A013537 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013538 %S A013538 1,0,0,1,550,111,1230,43910,387215611,55251677,1288012623642, %T A013538 173068076674,12030718595112,1149894862124624 %V A013538 -1,0,0,1,550,111,1230,43910,387215611,55251677,1288012623642, %W A013538 173068076674,12030718595112,1149894862124624 %X A013538 %N A013538 arcsin(cosec(x)-cotanh(x))=-x+1/7!*x^7+550/9!*x^9+111/11!*x^11... %R A013538 %O A013538 0,5 %K A013538 sign,done %A A013538 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) (This seems to be totally wrong) %I A013539 %S A013539 1,0,0,0,1144,41,2506,33945,670688733,73416800,2015179844080, %T A013539 291833551358,19544286946604,2084842786896549 %V A013539 -1,0,0,0,1144,41,2506,33945,670688733,73416800,2015179844080, %W A013539 291833551358,19544286946604,2084842786896549 %X A013539 %N A013539 tan(cosec(x)-cotanh(x))=-x+1144/9!*x^9+41/11!*x^11+2506/13!*x^13... %R A013539 %O A013539 0,5 %K A013539 sign,done %A A013539 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013540 %S A013540 1,0,7,3,2354,614,12609,511465,8778184775,1439863636,60634748503370, %T A013540 10164567364169,1158337190520188,147712142913341929 %V A013540 -1,0,-7,3,-2354,614,-12609,511465,-8778184775,1439863636, %W A013540 -60634748503370,10164567364169,-1158337190520188, %X A013540 147712142913341929 %N A013540 arctan(cosec(x)-cotanh(x))=-x-7/5!*x^5+3/7!*x^7-2354/9!*x^9... %R A013540 %O A013540 0,3 %K A013540 sign,done %A A013540 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013541 %S A013541 1,0,0,28,3,8767,546,29391,360119,11724454488,676367024, %T A013541 42617610907709,2816592861875,393305153087866,22155826410571557 %V A013541 1,-0,0,-28,3,-8767,546,-29391,360119,-11724454488,676367024, %W A013541 -42617610907709,2816592861875,-393305153087866,22155826410571557 %X A013541 %N A013541 cos(cosec(x)-cotanh(x))=1-28/6!*x^6+3/8!*x^8-8767/10!*x^10... %R A013541 %O A013541 0,4 %K A013541 sign,done %A A013541 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013542 %S A013542 1,0,0,1,770,60,2467,6107,908567327,2220134,2972888028290,3106166724, %T A013542 24245415901777,115311857392279 %V A013542 -1,0,0,1,770,60,2467,6107,908567327,-2220134,2972888028290, %W A013542 -3106166724,24245415901777,115311857392279 %X A013542 %N A013542 sinh(cosec(x)-cotanh(x))=-x+1/7!*x^7+770/9!*x^9+60/11!*x^11... %R A013542 %O A013542 0,5 %K A013542 sign,done %A A013542 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013543 %S A013543 1,0,0,2,1078,366,5270,234137,3306664031,534743666,20542552037016, %T A013543 3273200688729,355025065641454,43004969702632110 %V A013543 -1,0,-0,2,-1078,366,-5270,234137,-3306664031,534743666, %W A013543 -20542552037016,3273200688729,-355025065641454,43004969702632110 %X A013543 %N A013543 arcsinh(cosec(x)-cotanh(x))=-x+2/7!*x^7-1078/9!*x^9+366/11!*x^11... %R A013543 %O A013543 0,4 %K A013543 sign,done %A A013543 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013544 %S A013544 1,0,7,3,2101,538,9598,358770,5412633284,757790106,28633556265321, %T A013544 3921506901899,399181576270198,41250320267640406 %V A013544 -1,0,-7,3,-2101,538,-9598,358770,-5412633284,757790106, %W A013544 -28633556265321,3921506901899,-399181576270198,41250320267640406 %X A013544 %N A013544 tanh(cosec(x)-cotanh(x))=-x-7/5!*x^5+3/7!*x^7-2101/9!*x^9... %R A013544 %O A013544 0,3 %K A013544 sign,done %A A013544 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013545 %S A013545 1,0,0,0,935,83,1752,46838,572909090,71935358,2100824435964, %T A013545 265975589922,21442193357716,2026945386421692 %V A013545 -1,0,0,0,935,83,1752,46838,572909090,71935358,2100824435964, %W A013545 265975589922,21442193357716,2026945386421692 %X A013545 %N A013545 arctanh(cosec(x)-cotanh(x))=-x+935/9!*x^9+83/11!*x^11+1752/13!*x^13... %R A013545 %O A013545 0,5 %K A013545 sign,done %A A013545 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013546 %S A013546 1,0,0,28,2,6688,182,17958,17685,5678176505,217978410,16282489132553, %T A013546 1338392625706,119079250087729 %V A013546 1,0,-0,28,-2,6688,-182,17958,17685,5678176505,217978410, %W A013546 16282489132553,1338392625706,119079250087729 %X A013546 %N A013546 cosh(cosec(x)-cotanh(x))=1+28/6!*x^6-2/8!*x^8+6688/10!*x^10... %R A013546 %O A013546 0,4 %K A013546 sign,done %A A013546 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013547 %S A013547 1,0,0,21,0,3234,277,5856,303280,2437972574,588899927,13407976985576, %T A013547 2342711674594,183937462367205,18926632135623132 %N A013547 sec(cosec(x)-cotanh(x))=1+21/6!*x^6+3234/10!*x^10+277/12!*x^12... %R A013547 %O A013547 0,4 %K A013547 nonn %A A013547 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013548 %S A013548 1,0,0,35,5,13684,1572,66226,1853110,40553751164,5789555879, %T A013548 242818131784156,38257326112356,3934030213342971 %V A013548 1,-0,0,-35,5,-13684,1572,-66226,1853110,-40553751164,5789555879, %W A013548 -242818131784156,38257326112356,-3934030213342971 %X A013548 %N A013548 sech(cosec(x)-cotanh(x))=1-35/6!*x^6+5/8!*x^8-13684/10!*x^10... %R A013548 %O A013548 0,4 %K A013548 sign,done %A A013548 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013550 %S A013550 1,1,0,0,0,0,28,2,3,836,8767,299,546,2907,29391,126895,360119, %T A013550 1186012376,11724454488,152704013,676367024,4324761408100, %U A013550 42617610907709,425429094147,2816592861875,39425056468203 %V A013550 1,-1,0,-0,0,-0,28,-2,3,-836,8767,-299,546,-2907,29391,-126895, %W A013550 360119,-1186012376,11724454488,-152704013,676367024,-4324761408100, %X A013550 42617610907709,-425429094147,2816592861875,-39425056468203 %N A013550 exp(cotan(x)-cosech(x))=1-x+28/6!*x^6-2/7!*x^7+3/8!*x^8-836/9!*x^9... %R A013550 %O A013550 0,7 %K A013550 sign,done %A A013550 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013551 %S A013551 1,2,36,0,0,28,98,4,8,3410,18480,638,1988,7702,51807,321430,1504110, %T A013551 2568338262,19363455845,436353779,2792247067,8599066594858, %U A013551 70514452702594,1310649549217,10760943015089,76376529836464 %V A013551 1,-2,36,-0,0,-28,98,-4,8,-3410,18480,-638,1988,-7702,51807,-321430, %W A013551 1504110,-2568338262,19363455845,-436353779,2792247067, %X A013551 -8599066594858,70514452702594,-1310649549217,10760943015089 %N A013551 exp(cotan(x)-cotanh(x))=1-2*x+36/2!*x^2-28/5!*x^5+98/6!*x^6... %R A013551 %O A013551 0,2 %K A013551 sign,done %A A013551 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013552 %S A013552 2,0,28,4,3410,638,7702,321430,2568338262,436353779,8599066594858, %T A013552 1310649549217,76376529836464,7646205388186861 %V A013552 -2,0,-28,4,-3410,638,-7702,321430,-2568338262,436353779, %W A013552 -8599066594858,1310649549217,-76376529836464,7646205388186861 %X A013552 %N A013552 sin(cotan(x)-cotanh(x))=-2*x-28/5!*x^5+4/7!*x^7-3410/9!*x^9... %R A013552 %O A013552 0,1 %K A013552 sign,done %A A013552 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013553 %S A013553 2,0,77,17,50336,15577,883675,70053013,2674617374804,1007210116665, %T A013553 90531387233486381,35534621348820224,8852932975072283203, %U A013553 2606314411198792414715 %N A013553 arcsin(cotan(x)-cotanh(x))=-2*x-77/5!*x^5-17/7!*x^7-50336/9!*x^9... %R A013553 %O A013553 0,1 %K A013553 sign,done %A A013553 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013554 %S A013554 2,0,126,25,51326,10929,399223,19660361,452803663896,100636857978, %T A013554 5246019768064285,1177349661754531,165748040744729226, %U A013554 27301091307299787326 %N A013554 tan(cotan(x)-cotanh(x))=-2*x-126/5!*x^5-25/7!*x^7-51326/9!*x^9... %R A013554 %O A013554 0,1 %K A013554 sign,done %A A013554 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013555 %S A013555 2,0,175,51,165495,58021,3611094,309840909,12655791634431, %T A013555 5057482411145,479296834769075641,197343009714299615, %U A013555 51356061329529716482,15737507445617573854441 %V A013555 -2,0,-175,51,-165495,58021,-3611094,309840909,-12655791634431, %W A013555 5057482411145,-479296834769075641,197343009714299615, %X A013555 -51356061329529716482,15737507445617573854441 %N A013555 arctan(cotan(x)-cotanh(x))=-2*x-175/5!*x^5+51/7!*x^7-165495/9!*x^9... %R A013555 %O A013555 0,1 %K A013555 sign,done %A A013555 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013556 %S A013556 1,36,0,98,8,18480,1988,51807,1504110,19363455845,2792247067, %T A013556 70514452702594,10760943015089,679199039759214,76833670605013207 %V A013556 1,-36,0,-98,8,-18480,1988,-51807,1504110,-19363455845,2792247067, %W A013556 -70514452702594,10760943015089,-679199039759214,76833670605013207 %X A013556 %N A013556 cos(cotan(x)-cotanh(x))=1-36/2!*x^2-98/6!*x^6+8/8!*x^8-18480/10!*x^10... %R A013556 %O A013556 0,2 %K A013556 sign,done %A A013556 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013557 %S A013557 1,36,0,357,96,246862,63265,2702139,152243470,3946109992628, %T A013557 974761022098,55898417585925641,13686533679920614, %U A013557 2087412316757286746,370281073116766830343 %N A013557 sec(cotan(x)-cotanh(x))=1+36/2!*x^2+357/6!*x^6+96/8!*x^8... %R A013557 %O A013557 0,2 %K A013557 nonn %A A013557 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013558 %S A013558 1,4,3,33,155,1195,5418,72373,496027,6851051,59706592,986009607, %T A013558 10430165629,193892831665,2439695949632,50409517110169, %U A013558 737532991565959,16755308524034767,279581740874221016 %N A013558 log(sech(x)-log(x+1))=-1/2!*x^2-4/3!*x^3-3/4!*x^4-33/5!*x^5... %R A013558 %O A013558 0,2 %K A013558 sign,done %A A013558 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013559 %S A013559 1,1,0,0,0,0,1,2,8,29,52,472,183,9399,10182,226838,666593,6436145, %T A013559 35852656,204900427,2018858843,6710520010,125071157012,169838964895, %U A013559 8620041035346,4892457927484,659928772296573,1766066623281321 %V A013559 1,-1,0,0,-0,0,1,-2,-8,29,52,-472,-183,9399,-10182,-226838,666593, %W A013559 6436145,-35852656,-204900427,2018858843,6710520010,-125071157012, %X A013559 -169838964895,8620041035346,-4892457927484,-659928772296573 %N A013559 exp(cosech(x)-cotanh(x))=1-x+1/6!*x^6-2/7!*x^7-8/8!*x^8+29/9!*x^9... %R A013559 %O A013559 0,8 %K A013559 sign,done %A A013559 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013562 %S A013562 1,3,9,42,313,3025,35091,482468,7704257,139729063,2834494245, %T A013562 63612631742,1564879314945,41866671551549,1210176423684151, %U A013562 37583615159233544,1248017801182054753,44124684998406215691 %V A013562 1,-3,9,-42,313,-3025,35091,-482468,7704257,-139729063,2834494245, %W A013562 -63612631742,1564879314945,-41866671551549,1210176423684151, %X A013562 -37583615159233544,1248017801182054753,-44124684998406215691 %N A013562 arcsin(log(x+1)/exp(x))=x-3/2!*x^2+9/3!*x^3-42/4!*x^4+313/5!*x^5... %R A013562 %O A013562 0,2 %K A013562 sign,done %A A013562 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013563 %S A013563 1,3,6,12,317,2915,11886,171920,5115653,68721223,210613062, %T A013563 17051988316,550238104665,8495695565695,24062949136594, %U A013563 6101110377673856,206210494097275657,3111467353854907467 %V A013563 1,-3,6,12,-317,2915,-11886,-171920,5115653,-68721223,210613062, %W A013563 17051988316,-550238104665,8495695565695,24062949136594, %X A013563 -6101110377673856,206210494097275657,-3111467353854907467 %N A013563 arctan(log(x+1)/exp(x))=x-3/2!*x^2+6/3!*x^3+12/4!*x^4-317/5!*x^5... %R A013563 %O A013563 0,2 %K A013563 sign,done %A A013563 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013564 %S A013564 1,3,7,6,117,1385,8297,25956,1648321,27076303,193866363,3316610110, %T A013564 155740823565,3027137980477,15561540714197,1235594001526472, %U A013564 54043406644859329,1102221843621842235,2057500737658676849 %V A013564 1,-3,7,-6,-117,1385,-8297,-25956,1648321,-27076303,193866363, %W A013564 3316610110,-155740823565,3027137980477,-15561540714197, %X A013564 -1235594001526472,54043406644859329,-1102221843621842235 %N A013564 arcsinh(log(x+1)/exp(x))=x-3/2!*x^2+7/3!*x^3-6/4!*x^4-117/5!*x^5... %R A013564 %O A013564 0,2 %K A013564 sign,done %A A013564 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013565 %S A013565 1,3,10,60,543,5905,75430,1130304,19427485,375334543,8051851146, %T A013565 190026879548,4892935459995,136482933172157,4099807995824710, %U A013565 131951024352136160,4529936084197057465,165234290913883348059 %V A013565 1,-3,10,-60,543,-5905,75430,-1130304,19427485,-375334543, %W A013565 8051851146,-190026879548,4892935459995,-136482933172157, %X A013565 4099807995824710,-131951024352136160,4529936084197057465 %N A013565 arctanh(log(x+1)/exp(x))=x-3/2!*x^2+10/3!*x^3-60/4!*x^4+543/5!*x^5... %R A013565 %O A013565 0,2 %K A013565 sign,done %A A013565 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013566 %S A013566 1,0,1,9,64,510,5140,62650,868516,13417104,229831820,4334605748, %T A013566 89205406112,1988081805528,47701228486496,1226141059648440, %U A013566 33617215231898512,979251053876769920,30201854389236416848 %V A013566 1,0,1,-9,64,-510,5140,-62650,868516,-13417104,229831820,-4334605748, %W A013566 89205406112,-1988081805528,47701228486496,-1226141059648440, %X A013566 33617215231898512,-979251053876769920,30201854389236416848 %N A013566 sec(log(x+1)/exp(x))=1+1/2!*x^2-9/3!*x^3+64/4!*x^4-510/5!*x^5... %R A013566 %O A013566 0,4 %K A013566 sign,done %A A013566 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013567 %S A013567 1,0,1,9,54,210,510,24500,355544,3310776,7970880,511460048, %T A013567 14772993312,247420878848,2080751146656,34093875419760, %U A013567 2085552636479488,56037789835944320,880848150693672192 %V A013567 1,0,-1,9,-54,210,510,-24500,355544,-3310776,7970880,511460048, %W A013567 -14772993312,247420878848,-2080751146656,-34093875419760, %X A013567 2085552636479488,-56037789835944320,880848150693672192 %N A013567 sech(log(x+1)/exp(x))=1-1/2!*x^2+9/3!*x^3-54/4!*x^4+210/5!*x^5... %R A013567 %O A013567 0,4 %K A013567 sign,done %A A013567 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013568 %S A013568 1,0,0,0,7,665,219,598,11570,5357968,995254,4960662,126624718, %T A013568 783821598,22344623929,166137700653,5222279193717,16426560893778654, %U A013568 1561364880901471,15643758252397591,581233980566953138 %V A013568 1,-0,0,-0,7,-665,219,-598,11570,-5357968,995254,-4960662,126624718, %W A013568 -783821598,22344623929,-166137700653,5222279193717, %X A013568 -16426560893778654,1561364880901471,-15643758252397591 %N A013568 log(arcsin(x)/log(x+1))=x+7/5!*x^5-665/6!*x^6+219/7!*x^7-598/8!*x^8... %R A013568 %O A013568 0,5 %K A013568 sign,done %A A013568 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013569 %S A013569 1,1,1,1,9,15,25,471,1295,3329,65647,98129,3713721,33219953, %T A013569 270347415,6061172807,68349644129,1202915380097,19022739778399, %U A013569 352452078288991,6138793986311401,130474490203385201 %V A013569 1,1,-1,-1,9,-15,-25,471,-1295,3329,65647,-98129,3713721,33219953, %W A013569 270347415,6061172807,68349644129,1202915380097,19022739778399, %X A013569 352452078288991,6138793986311401,130474490203385201 %N A013569 exp(arcsin(x)/exp(x))=1+x-1/2!*x^2-1/3!*x^3+9/4!*x^4-15/5!*x^5... %R A013569 %O A013569 0,5 %K A013569 sign,done %A A013569 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013570 %S A013570 1,9,0,1,7,4977,219,1039,11570,33344784,995254,7720297,126624718, %T A013570 4415407356,22344623929,241815032188,5222279193717,86652127610560844, %U A013570 1561364880901471,21735423877239687,581233980566953138 %V A013570 1,-9,0,1,7,-4977,219,1039,11570,-33344784,995254,7720297,126624718, %W A013570 -4415407356,22344623929,241815032188,5222279193717, %X A013570 -86652127610560844,1561364880901471,21735423877239687 %N A013570 log(arctan(x)/log(x+1))=x-9/2!*x^2+1/4!*x^4+7/5!*x^5-4977/6!*x^6... %R A013570 %O A013570 0,2 %K A013570 sign,done %A A013570 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013571 %S A013571 1,1,1,4,9,60,175,2154,6433,140984,404063,14300174,38333361, %T A013571 2070386084,5007071823,406148697538,844312637249,103808494182512, %U A013571 173366392362431,33528470038125974,40208654504239441 %V A013571 1,1,-1,-4,9,60,-175,-2154,6433,140984,-404063,-14300174,38333361, %W A013571 2070386084,-5007071823,-406148697538,844312637249,103808494182512, %X A013571 -173366392362431,-33528470038125974,40208654504239441 %N A013571 exp(arctan(x)/exp(x))=1+x-1/2!*x^2-4/3!*x^3+9/4!*x^4+60/5!*x^5... %R A013571 %O A013571 0,4 %K A013571 sign,done %A A013571 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013572 %S A013572 1,1,1,3,9,25,145,539,3857,30129,192673,2816979,17218201,364417417, %T A013572 2297788337,63429766763,417350455329,14529736975457,99514205291841, %U A013572 4252720982041379,30285000226110761,1549157611064817401 %V A013572 1,1,-1,-3,9,25,-145,-539,3857,30129,-192673,-2816979,17218201, %W A013572 364417417,-2297788337,-63429766763,417350455329,14529736975457, %X A013572 -99514205291841,-4252720982041379,30285000226110761 %N A013572 exp(arcsinh(x)/exp(x))=1+x-1/2!*x^2-3/3!*x^3+9/4!*x^4+25/5!*x^5... %R A013572 %O A013572 0,4 %K A013572 sign,done %A A013572 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com) %I A013573 %S A013573 1,1,1,0,9,20,65,406,511,21624,88577,1053426,14764321,143838916, %T A013573 2193647521,29669704702,457719400449,7433158061552,128311987616769, %U A013573 2329120580336746,45112841958764321,905762343424701116 %V A013573 1,1,-1,0,9,-20,65,406,-511,21624,88577,1053426,14764321,143838916, %W A013573 2193647521,29669704702,457719400449,7433158061552,128311987616769, %X A013573 2329120580336746,45112841958764321,905762343424701116 %N A013573 exp(arctanh(x)/exp(x))=1+x-1/2!*x^2+9/4!*x^4-20/5!*x^5+65/6!*x^6... %R A013573 %O A013573 0,5 %K A013573 sign,done %A A013573 Patrick DEMICHEL (dml@hpfrcu03.france.hp.com)