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%I #4 Dec 30 2014 14:45:05
%S 125,735,4800,31156,200740,1294016,8338384,53745952,346434848,
%T 2233207264,14396108256,92804450272,598267360480,3856769267168,
%U 24862957621984,160281121228768,1033266051966176,6661040300308960,42940986249529056
%N Number of (3+1)X(n+1) 0..1 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally
%C Row 3 of A253350
%H R. H. Hardin, <a href="/A253352/b253352.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 9*a(n-1) -8*a(n-2) -72*a(n-3) +96*a(n-4) +128*a(n-5) -128*a(n-6) -64*a(n-7) for n>10
%e Some solutions for n=4
%e ..0..1..1..1..1....1..1..1..1..0....1..1..1..0..0....1..1..1..1..0
%e ..1..1..0..0..1....0..0..0..1..1....1..1..1..0..0....0..0..0..1..1
%e ..0..1..0..0..1....1..1..1..1..1....1..1..1..1..1....1..1..1..1..0
%e ..0..1..1..1..1....1..0..1..1..0....1..1..1..1..0....1..1..1..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 30 2014
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