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%I #5 Nov 30 2014 18:06:31
%S 512,7776,209952,10077696,259200000,9600000000,512000000000,
%T 16807000000000,720600125000000,40353607000000000,1525017689435520000,
%U 71151225318303621120,4098310578334288576512,169762607240564688666624
%N Number of (n+2)X(n+2) 0..1 arrays with nondecreasing sum of every three consecutive values in every row and column
%C Diagonal of A251192
%H R. H. Hardin, <a href="/A251186/b251186.txt">Table of n, a(n) for n = 1..20</a>
%e Some solutions for n=2
%e ..0..0..1..1....0..1..0..0....0..0..0..0....0..1..1..1....0..0..0..0
%e ..1..0..1..1....1..1..1..1....0..1..1..1....1..0..0..1....0..1..0..0
%e ..0..0..0..0....0..0..1..0....0..0..0..0....0..1..1..1....0..0..0..1
%e ..0..1..1..1....1..1..0..1....0..1..0..1....1..1..1..1....0..0..0..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 30 2014
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