%I #6 Mar 31 2012 12:36:08
%S 30276,578832,11193852,222367896,4615930512,96136061832,2017081911744,
%T 42927291866736,914458652106192,19532723220116064,419468515980340032,
%U 9010601090995887648,193766691356725207680,4175790604481932746048
%N Half the number of (n+2)X3 0..3 arrays with each 3X3 subblock having sum 13 or 14
%C Column 1 of A187376
%H R. H. Hardin, <a href="/A187373/b187373.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n)=12*a(n-1)+144*a(n-2)+8364*a(n-3)-85968*a(n-4)-1025856*a(n-5)-22540932*a(n-6)+175623984*a(n-7)+2326114368*a(n-8)+23022501696*a(n-9)-124292765952*a(n-10)-2240639656704*a(n-11)-6241406088960*a(n-12)+3951551070720*a(n-13)+929936095649280*a(n-14)-2199121049454336*a(n-15)+27388235408044032*a(n-16)-126009950324438016*a(n-17)+1363797544592636928*a(n-18)-10200775372373569536*a(n-19)-9861110258169065472*a(n-20)-200171738877536047104*a(n-21)+1251463466276954062848*a(n-22)+2567465691549838442496*a(n-23)+4989615573505839759360*a(n-24)-39261875389490334597120*a(n-25)-112864472074442185113600*a(n-26)+850401008516066652979200*a(n-27)-1287421175527968905625600*a(n-28)-3120464501194565615616000*a(n-29)-63180604151805785407488000*a(n-30)+42574222265676925501440000*a(n-31)+166130233406853532876800000*a(n-32)+1270747183358845491609600000*a(n-33)+425660202835763842252800000*a(n-34)+2189044430502025494528000000*a(n-35)-2240376895000509677568000000*a(n-36)+16131556022908260188160000000*a(n-37)-65768732975904042516480000000*a(n-38)+34116345635915641651200000000*a(n-39)+227442304239437611008000000000*a(n-40)
%e Some solutions for 4X3
%e ..0..2..2....0..2..0....0..0..3....0..2..2....0..2..3....0..2..2....0..0..3
%e ..3..1..3....0..2..3....2..2..0....2..0..3....0..1..3....3..1..0....3..2..3
%e ..3..0..0....2..3..1....3..2..1....2..3..0....2..0..3....2..3..0....1..1..1
%e ..0..0..3....0..3..0....0..1..2....2..0..2....3..1..0....1..0..3....1..1..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Mar 09 2011