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A250768 Number of (n+1) X (7+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction.

%I A250768 #8 Nov 19 2018 07:18:34
%S A250768 519,798,1158,1680,2526,4020,6810,12192,22758,43692,85362,168504,
%T A250768 334590,666564,1330314,2657616,5312022,10620636,21237666,42471528,
%U A250768 84939054,169873908,339743418,679482240,1358959686,2717914380,5435823570
%N A250768 Number of (n+1) X (7+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction.
%H A250768 R. H. Hardin, <a href="/A250768/b250768.txt">Table of n, a(n) for n = 1..210</a>
%F A250768 Empirical: a(n) = 4*a(n-1) - 5*a(n-2) + 2*a(n-3); a(n) = 81*2^(n-1) + 198*n + 240.
%F A250768 Empirical g.f.: 3*x*(173 - 426*x + 187*x^2) / ((1 - x)^2*(1 - 2*x)). - _Colin Barker_, Nov 19 2018
%e A250768 Some solutions for n=4:
%e A250768 ..1..0..1..0..1..1..0..0....0..0..0..0..0..0..0..0....0..1..1..0..0..0..0..0
%e A250768 ..1..0..1..0..1..1..1..1....0..0..0..0..0..0..0..0....0..1..1..0..0..0..0..0
%e A250768 ..1..0..1..0..1..1..1..1....0..0..0..0..0..0..0..0....0..1..1..1..1..1..1..1
%e A250768 ..1..0..1..0..1..1..1..1....0..0..0..0..0..0..0..0....0..1..1..1..1..1..1..1
%e A250768 ..1..0..1..0..1..1..1..1....0..0..0..0..1..1..1..1....0..1..1..1..1..1..1..1
%Y A250768 Column 7 of A250769.
%K A250768 nonn
%O A250768 1,1
%A A250768 _R. H. Hardin_, Nov 27 2014