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%I #6 Dec 01 2014 12:42:28
%S 423,6653,105897,1691169,27018053,431623476,6895174650,110149711356,
%T 1759629989746,28109907028935,449052877687701,7173573646078876,
%U 114597102921635046,1830676959844527106,29244876577234599586
%N Number of (n+1)X(2+1) 0..2 arrays with no 2X2 subblock having the sum of its diagonal elements less than the maximum of its antidiagonal elements
%C Column 2 of A251019
%H R. H. Hardin, <a href="/A251013/b251013.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 27*a(n-1) -234*a(n-2) +1104*a(n-3) -3214*a(n-4) +5993*a(n-5) -7505*a(n-6) +6551*a(n-7) -3996*a(n-8) +1649*a(n-9) -385*a(n-10) -18*a(n-11) +47*a(n-12) -14*a(n-13) +a(n-14)
%e Some solutions for n=3
%e ..2..1..0....2..2..1....0..0..1....2..0..0....0..0..2....2..0..1....2..1..2
%e ..0..0..0....2..1..1....1..1..2....1..1..1....2..2..2....0..0..1....2..1..2
%e ..2..2..2....1..1..0....2..2..1....0..1..0....0..0..0....2..2..2....0..0..1
%e ..2..2..0....1..0..2....1..0..1....0..1..2....0..0..0....0..0..0....1..1..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 29 2014
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