A224646 - OEIS

%I #4 Apr 13 2013 08:22:32

%S 3200,5696,10304,19328,44096,103232,250304,672320,1832000,5072000,

%T 14598464,42259520,123062720,363331136,1075129664,3188732288,

%U 9504804416,28357861952,84686143424,253379455040,758408705600,2270956426880

%N Number of (n+2)X5 0..1 matrices with each 3X3 subblock having the same population

%C Column 3 of A224651

%H R. H. Hardin, <a href="/A224646/b224646.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -3*a(n-2) +36*a(n-3) -144*a(n-4) +108*a(n-5) -503*a(n-6) +2012*a(n-7) -1509*a(n-8) +3480*a(n-9) -13920*a(n-10) +10440*a(n-11) -12564*a(n-12) +50256*a(n-13) -37692*a(n-14) +22464*a(n-15) -89856*a(n-16) +67392*a(n-17) -15552*a(n-18) +62208*a(n-19) -46656*a(n-20)

%e Some solutions for n=2

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 13 2013