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%I #7 Dec 09 2018 07:49:50
%S 325,336,345,380,452,596,884,1460,2612,4916,9524,18740,37172,74036,
%T 147764,295220,590132,1179956,2359604,4718900,9437492,18874676,
%U 37749044,75497780,150995252,301990196,603980084,1207959860,2415919412,4831838516
%N Number of (n+1) X (6+1) 0..1 arrays with every 2 X 2 subblock diagonal minus antidiagonal sum nondecreasing horizontally and vertically.
%H R. H. Hardin, <a href="/A253157/b253157.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) + 308 for n>3.
%F Empirical g.f.: x*(325 - 639*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....0..1..1..1..1..1..1
%e ..0..0..0..0..0..0..0....1..1..1..1..1..1..1....1..1..1..1..1..1..1
%e ..1..1..1..1..1..1..1....1..1..1..1..1..1..1....0..0..0..0..0..0..0
%e ..0..0..0..0..0..0..0....1..1..1..1..1..1..1....1..1..1..1..1..1..1
%e ..1..1..1..1..1..1..1....0..0..0..0..0..0..0....0..0..0..0..0..0..0
%e ..1..1..1..1..1..1..1....0..0..0..0..0..0..0....1..1..1..1..1..1..1
%e ..0..0..0..0..0..0..1....0..0..0..0..0..0..0....0..0..0..0..0..0..1
%Y Column 6 of A253159.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 28 2014
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