%I #8 Dec 16 2018 09:16:24
%S 428,784,1332,2088,3052,4248,5692,7404,9404,11712,14348,17332,20684,
%T 24424,28572,33148,38172,43664,49644,56132,63148,70712,78844,87564,
%U 96892,106848,117452,128724,140684,153352,166748,180892,195804,211504,228012
%N Number of (n+2) X (3+2) 0..1 arrays with every 2 X 2 and 3 X 3 subblock diagonal maximum minus antidiagonal minimum nondecreasing horizontally and vertically.
%H R. H. Hardin, <a href="/A253505/b253505.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = (10/3)*n^3 + 64*n^2 + (566/3)*n + 92 for n>4.
%F Conjectures from _Colin Barker_, Dec 16 2018: (Start)
%F G.f.: 4*x*(107 - 232*x + 191*x^2 - 62*x^3 - 4*x^4 + 6*x^5 - 2*x^6 + x^7) / (1 - x)^4.
%F a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n>8.
%F (End)
%e Some solutions for n=4:
%e ..0..1..1..1..0....0..0..0..0..1....0..1..1..1..0....0..1..1..1..0
%e ..1..1..1..1..0....0..0..0..0..0....1..1..1..1..0....1..1..1..1..0
%e ..1..1..1..1..0....0..0..0..0..0....1..1..1..1..1....1..1..1..1..0
%e ..1..1..1..1..0....0..0..0..0..0....1..1..1..0..1....1..1..1..1..1
%e ..1..1..1..1..0....0..0..0..0..0....1..1..1..0..1....1..1..1..0..0
%e ..0..0..0..1..1....0..1..1..1..1....1..1..0..0..1....1..0..1..0..1
%Y Column 3 of A253510.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 02 2015
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