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A205200 Number of (n+1)X3 0..2 arrays with the permanents of 2X2 subblocks nondecreasing rightwards and downwards 1

%I

%S 491,6138,71355,717013,7041879,65935448,615253868,5678303205,

%T 52503088487,484989654969,4487727330140,41547820860109,

%U 384970648940127,3568292822328962,33084527880078088,306796370379258600

%N Number of (n+1)X3 0..2 arrays with the permanents of 2X2 subblocks nondecreasing rightwards and downwards

%C Column 2 of A205206

%H R. H. Hardin, <a href="/A205200/b205200.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 20*a(n-1) +8*a(n-2) -2503*a(n-3) +9343*a(n-4) +143356*a(n-5) -860876*a(n-6) -4893570*a(n-7) +41544983*a(n-8) +106320606*a(n-9) -1346704389*a(n-10) -1332598194*a(n-11) +32280936930*a(n-12) +780839126*a(n-13) -602623241849*a(n-14) +391493775490*a(n-15) +9050573074059*a(n-16) -10560045370616*a(n-17) -111796063030272*a(n-18) +178530194474790*a(n-19) +1153745054657041*a(n-20) -2287130903257078*a(n-21) -10060852634899015*a(n-22) +23678541954061334*a(n-23) +74722985677802069*a(n-24) -204550886839844046*a(n-25) -475063951902272493*a(n-26) +1503133328900272621*a(n-27) +2590627635300901404*a(n-28) -9518621674891877380*a(n-29) -12096070494878431782*a(n-30) +52430969595275511958*a(n-31) +47988134913838961195*a(n-32) -252979863297966885980*a(n-33) -158684713612169586100*a(n-34) +1075001867010613840637*a(n-35) +416752788155094949165*a(n-36) -4039878517469352580936*a(n-37) -741481597803967886842*a(n-38) +13469429022652329561738*a(n-39) +75649228055454045569*a(n-40) -39937117575998086260854*a(n-41) +6110874113766372389513*a(n-42) +105475073644291609411224*a(n-43) -31412589990281591236598*a(n-44) -248344642000083383870122*a(n-45) +107643966757774951837299*a(n-46) +521384274336560361785190*a(n-47) -294151859475945454642515*a(n-48) -975382971869003648511992*a(n-49) +677306586129474184830088*a(n-50) +1623340712792781391601964*a(n-51) -1346061673421421471682673*a(n-52) -2396840313170580108162590*a(n-53) +2337272014364876356971493*a(n-54) +3125456021420016522881274*a(n-55) -3568996525415869600059837*a(n-56) -3574181295810389714770538*a(n-57) +4808290286599255352972233*a(n-58) +3544047629371924752271741*a(n-59) -5721617762299585877132936*a(n-60) -2987590823370918813049608*a(n-61) +6010149529208414063289948*a(n-62) +2058672434704980268349378*a(n-63) -5561700771958558789757538*a(n-64) -1047882883676476042481192*a(n-65) +4518169893213503026730148*a(n-66) +237445338532832539555112*a(n-67) -3205549801838857399328204*a(n-68) +227315469048310535428928*a(n-69) +1971844977688188640631416*a(n-70) -369588976536845074797656*a(n-71) -1041037224021696481194288*a(n-72) +315509699361365823165488*a(n-73) +464901426556009509269024*a(n-74) -198182731734539718091520*a(n-75) -171759927785583917717760*a(n-76) +98256516157715913958144*a(n-77) +50552350351924599066240*a(n-78) -39153038073653726521344*a(n-79) -10951483329558692087040*a(n-80) +12506594583956546867200*a(n-81) +1345745896535936128512*a(n-82) -3149446976104097608704*a(n-83) +92017365154287783936*a(n-84) +605314059339766695936*a(n-85) -89984146446906810368*a(n-86) -83729688894594058240*a(n-87) +22607080595776299008*a(n-88) +7367002857001996288*a(n-89) -3239862277138825216*a(n-90) -266222946314698752*a(n-91) +270179637625733120*a(n-92) -14981932905627648*a(n-93) -11120960158433280*a(n-94) +1711387776909312*a(n-95) +114382275084288*a(n-96) -38984893857792*a(n-97) +2092789923840*a(n-98)

%e Some solutions for n=4

%e ..1..2..2....2..0..0....1..1..1....2..1..2....2..2..2....0..0..2....0..1..1

%e ..0..0..0....0..0..1....0..2..1....2..0..2....0..1..2....0..0..0....0..0..2

%e ..2..0..2....2..2..0....2..2..2....0..2..2....2..2..2....2..0..0....0..1..0

%e ..2..0..1....0..1..1....0..2..1....2..0..2....0..1..2....1..0..1....1..1..2

%e ..0..0..0....2..0..2....2..2..2....1..2..2....2..2..2....2..2..1....0..1..0

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 23 2012

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Last modified July 1 08:17 EDT 2022. Contains 354953 sequences. (Running on oeis4.)