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%I #7 Dec 09 2018 07:58:10
%S 613,624,633,668,740,884,1172,1748,2900,5204,9812,19028,37460,74324,
%T 148052,295508,590420,1180244,2359892,4719188,9437780,18874964,
%U 37749332,75498068,150995540,301990484,603980372,1207960148,2415919700,4831838804
%N Number of (n+1) X (7+1) 0..1 arrays with every 2 X 2 subblock diagonal minus antidiagonal sum nondecreasing horizontally and vertically.
%H R. H. Hardin, <a href="/A253158/b253158.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) - 2*a(n-2) for n>5.
%F Empirical: a(n) = 9*2^(n-1) + 596 for n>3.
%F Empirical g.f.: x*(613 - 1215*x - 13*x^2 + 17*x^3 + 2*x^4) / ((1 - x)*(1 - 2*x)). - _Colin Barker_, Dec 09 2018
%e Some solutions for n=6:
%e ..0..1..1..1..1..1..1..1....1..1..1..1..1..1..1..1....1..0..0..1..1..0..1..0
%e ..0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0....1..0..0..1..1..0..1..0
%e ..1..1..1..1..1..1..1..1....1..1..1..1..1..1..1..1....1..0..0..1..1..0..1..0
%e ..0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0....1..0..0..1..1..0..1..0
%e ..0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0....1..0..0..1..1..0..1..0
%e ..1..1..1..1..1..1..1..1....1..1..1..1..1..1..1..1....1..0..0..1..1..0..1..0
%e ..1..1..1..1..1..1..1..1....0..0..0..0..0..0..0..1....1..0..0..1..1..0..1..0
%Y Column 7 of A253159.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 28 2014
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