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A250773 Number of (5+1) X (n+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 A250773 #8 Nov 19 2018 07:19:07
%S A250773 144,258,418,648,996,1558,2526,4284,7600,14010,26586,51472,100956,
%T A250773 199614,396598,790212,1577064,3150370,6296562,12588504,25171924,
%U A250773 50338278,100670478,201334348,402661536,805315338,1610622346,3221235744
%N A250773 Number of (5+1) X (n+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 A250773 R. H. Hardin, <a href="/A250773/b250773.txt">Table of n, a(n) for n = 1..210</a>
%F A250773 Empirical: a(n) = 5*a(n-1) - 9*a(n-2) + 7*a(n-3) - 2*a(n-4); a(n) = 24*2^(n-1) + 11*n^2 + 57*n + 52.
%F A250773 Empirical g.f.: 2*x*(72 - 231*x + 212*x^2 - 64*x^3) / ((1 - x)^3*(1 - 2*x)). - _Colin Barker_, Nov 19 2018
%e A250773 Some solutions for n=4:
%e A250773 ..0..1..1..0..0....1..1..1..1..0....1..0..0..0..0....1..0..0..0..1
%e A250773 ..0..1..1..0..0....1..1..1..1..1....1..1..1..1..1....1..0..0..0..1
%e A250773 ..0..1..1..0..0....0..0..0..0..0....1..1..1..1..1....1..0..0..0..1
%e A250773 ..0..1..1..0..0....0..0..0..0..1....0..0..0..0..0....1..0..0..0..1
%e A250773 ..0..1..1..0..0....0..0..0..0..1....0..0..0..0..0....1..0..0..0..1
%e A250773 ..0..1..1..1..1....0..0..0..0..1....0..0..1..1..1....1..0..0..0..1
%Y A250773 Row 5 of A250769.
%K A250773 nonn
%O A250773 1,1
%A A250773 _R. H. Hardin_, Nov 27 2014