%I #6 Apr 13 2013 17:01:38

%S 67797,171315,444933,1221507,4334499,15889635,60542019,273661767,

%T 1250235675,5772573567,29686552515,152970689943,789762091707,

%U 4359410074935,24070513701123,132943684168287,763351676388819

%N Number of (n+2)X4 0..2 matrices with each 3X3 subblock having the same population

%C Column 2 of A224658

%H R. H. Hardin, <a href="/A224655/b224655.txt">Table of n, a(n) for n = 1..194</a>

%F Empirical: a(n) = 12*a(n-1) -47*a(n-2) +348*a(n-3) -3348*a(n-4) +12972*a(n-5) -49427*a(n-6) +364596*a(n-7) -1389085*a(n-8) +3772368*a(n-9) -20796876*a(n-10) +77287176*a(n-11) -171642744*a(n-12) +698143104*a(n-13) -2502532296*a(n-14) +4892327424*a(n-15) -14620764384*a(n-16) +49757063616*a(n-17) -89453718576*a(n-18) +196873374528*a(n-19) -621816192720*a(n-20) +1056742723584*a(n-21) -1726363585728*a(n-22) +4896142132608*a(n-23) -8008163864064*a(n-24) +9842526245376*a(n-25) -23861468063232*a(n-26) +38016777904128*a(n-27) -35833344288768*a(n-28) +68762860941312*a(n-29) -107591820521472*a(n-30) +79705062014976*a(n-31) -105889576734720*a(n-32) +163624374632448*a(n-33) -98033569284096*a(n-34) +66296082825216*a(n-35) -101559956668416*a(n-36) +50779978334208*a(n-37)

%e Some solutions for n=2

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 13 2013