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%I #8 Nov 24 2018 12:08:25
%S 3593,9086,15411,28616,48017,82898,139553,240972,420611,755534,
%T 1387095,2607904,4990157,9687898,18995941,37513316,74424559,148107894,
%U 295305995,589513112,1177703721,2353835426,4705809161,9409435196,18816319547
%N Number of (n+1) X (7+1) 0..2 arrays with no 2 X 2 subblock having the sum of its diagonal elements greater than the absolute difference of its antidiagonal elements.
%H R. H. Hardin, <a href="/A251087/b251087.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 6*a(n-1) - 13*a(n-2) + 10*a(n-3) + 5*a(n-4) - 14*a(n-5) + 9*a(n-6) - 2*a(n-7) for n>8.
%F Empirical g.f.: x*(3593 - 12472*x + 7604*x^2 + 18338*x^3 - 32161*x^4 + 17566*x^5 - 1962*x^6 - 756*x^7) / ((1 - x)^5*(1 + x)*(1 - 2*x)). - _Colin Barker_, Nov 24 2018
%e Some solutions for n=4:
%e ..0..0..0..1..0..0..1..2....1..0..0..2..0..1..0..2....0..1..0..1..0..0..0..2
%e ..0..0..0..1..0..0..0..0....1..0..0..2..0..1..0..1....0..1..0..1..0..0..0..1
%e ..0..0..0..1..0..0..0..0....1..0..0..2..0..1..0..1....0..1..0..1..0..0..0..0
%e ..1..0..0..1..0..0..0..0....1..0..0..2..0..1..0..1....0..1..0..1..0..0..0..0
%e ..2..1..0..1..0..0..0..0....1..0..0..2..0..1..0..0....2..1..0..1..0..0..0..0
%Y Column 7 of A251088.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 29 2014
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