Empirical: a(n) = (1/79154139657963313975938675596547504169883564055130082314813440000000000000)*n^57 + (1/50497058792959051978270287461912283361967186000082987122688000000000000)*n^56 + (2237/148785976800682921007403525557420120620081887321673087057920000000000000)*n^55 + (53203/7213865541851293139752898208844611908852455142868998160384000000000000)*n^54 + (63240743/24046218472837643799176327362815373029508183809563327201280000000000000)*n^53 + (7331827/10082271896367984821457579607050470871911188180110409728000000000000)*n^52 + (59500762049/366451805464144063702977412640872883613695108854012968960000000000000)*n^51 + (5089017391/169066576915406719124787733629007097399628654603927552000000000000)*n^50 + (126583568927/26777625536291126321006752841861372569506401816150016000000000000)*n^49 + (149811652589/234623004698931773479297262995356788228056092103409664000000000)*n^48 + (6053416628415001/80651657865257797133508434154653895953394281660547072000000000000)*n^47 + (53730860616791/6933303921363232076811384840288321165131681208729600000000000)*n^46 + (115387693776859459297/162944700071899194208679389633454309678272998285508608000000000000)*n^45 + (56899288473078604253/987543636799389055810178118990632179868321201730355200000000000)*n^44 + (4439004219817270221497/1058082467999345416939476556061391621287487001853952000000000000)*n^43 + (900682028889438183539/3280875869765412145548764514919043786937944191795200000000000)*n^42 + (1129429140462770930965961/69718612232515008092911245942029680472431314075648000000000000)*n^41 + (32671180331683146599051/37787865708680221188569780998390070716764939878400000000000)*n^40 + (1637534866557578271473966089/39143142046116540660044447182274637676125836279808000000000000)*n^39 + (2020405142555056922751102749/1098754864452394123790721324414726671610549790310400000000000)*n^38 + (19045912736287013968193838005351/258992218049492900607812883612042715451058164858880000000000000)*n^37 + (113661104556758855014711520291/42422967739474676594236344571997168788052115456000000000000)*n^36 + (796104918411622511469007098782027/8944175698405910981951495980596069752814321008640000000000000)*n^35 + (5735420009834100779899866668297/2125769625289580744373498747616415865196511232000000000000)*n^34 + (974734167302988076550892751933323713/13057539923341249722314216057233834451969570242560000000000000)*n^33 + (1641244010616810937046590478646160223/870502661556083314820947737148922296797971349504000000000000)*n^32 + (653834197020141390302848847202001909/15043248759609734703126977024462942917015633920000000000000)*n^31 + (229208089469056054190661994997257523/250720812660162245052116283741049048616927232000000000000)*n^30 + (140682384629248819589808329160982994207/8023066005125191841667721079713569555741671424000000000000)*n^29 + (10927844131802294195735318427034253911/35658071133889741518523204798726975803296317440000000000)*n^28 + (36035880785329463394266609610288426077297/7390426506650565832027598488786837096561115136000000000000)*n^27 + (1889653129077872803328107243190770413562693/26784697278648717379106084219966839901476041523200000000000)*n^26 + (355397111573718963043354839408309504443487821/383321815645967613512206970596974417977756614656000000000000)*n^25 + (359512890117521823420012475759311962557697161/32524275266930585388914530838531162737506621849600000000000)*n^24 + (52774284767297498047487529791002661853937729/441905913952861214523295255958303841542209536000000000000)*n^23 + (11473610219790428868517286649654566780409119/9820131421174693656073227910184529812049100800000000000)*n^22 + (658348750257806457388637781455416312347983176042439/63607605824939378572572226671196286223704483954688000000000000)*n^21 + (74196041174748746583557641088754319326067970331437/892738327367570225579961076086965420683571704627200000000000)*n^20 + (145069427557939869497701198065385460738305065609701/239126337687742024708918145380437166254528135168000000000000)*n^19 + (3794615387903807295704744153099533429665666648089/937750343873498136113404491687988887272659353600000000000)*n^18 + (7299870053262747708916360792633378424571815828755961/293698197977046985685517656771724297333312061440000000000000)*n^17 + (505222261594949922942560929598761962444259088932789/3559978157297539220430517051778476331312873472000000000000)*n^16 + (251025041196466082459601931567013971931495132154703369/330567362787199785704800054924157635940859248640000000000000)*n^15 + (7646765606385938517347436165083673525932629120900567/2003438562346665367907879120752470520853692416000000000000)*n^14 + (73869753221925673772866843882879618502548929507078319/4114204190533330666239394622973823391038832640000000000000)*n^13 + (344334310730565360427507136985660070564382015980973639/4388484469902219377322020931172078283774754816000000000000)*n^12 + (4575681342652301536729624796871416965387713051481241057/14323525700375299356537151650353311065098158080000000000000)*n^11 + (589058061227999260331999952166287100409001856085804183/477450856679176645217905055011777035503271936000000000000)*n^10 + (5660683491737687830084062030637416348679340280901585537/1231027458804477116920165200172031789872602808320000000000)*n^9 + (628984210114410888269069382782660067190059338658747271/41034248626815903897338840005734392995753426944000000000)*n^8 + (331840330736549796724115674461792084506466658056717703/8060298837410266836977272143983541481308708864000000000)*n^7 + (71114441595957009147443774063280121837272633381083/498472408003108647926856657018153462047539200000000)*n^6 + (106938018697566196131548451602470235977659880877/334264336169556408720217887096369298796544000000)*n^5 + (292078889769795516656019764989530027524584279/416021630514058300896375075931628456294400000)*n^4 + (9461543710200496912697808200172710502643/6646897698065493191178456596182387200000)*n^3 + (28211384353353689932236423174233537/13191429900106162560884449861440000)*n^2 + (20877269682318946747/9444503405499271200)*n + 1