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A250526 Number of (n+1)X(7+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)-x(i-1,j) in the j direction.

%I A250526 #6 Jul 23 2025 12:30:06
%S A250526 112373,682921,2771901,9240559,27710543,78204775,212707851,565044857,
%T A250526 1478308633,3832617341,9897332961,25578008747,66435440107,
%U A250526 174080131035,461563409759,1240974976389,3386986664197,9384561755841,26376931311941
%N A250526 Number of (n+1)X(7+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)-x(i-1,j) in the j direction.
%C A250526 Column 7 of A250527
%H A250526 R. H. Hardin, <a href="/A250526/b250526.txt">Table of n, a(n) for n = 1..194</a>
%F A250526 Empirical: a(n) = 14*a(n-1) -85*a(n-2) +294*a(n-3) -639*a(n-4) +906*a(n-5) -839*a(n-6) +490*a(n-7) -164*a(n-8) +24*a(n-9)
%e A250526 Some solutions for n=1
%e A250526 ..1..0..1..2..0..0..0..0....2..1..2..1..1..0..1..1....2..1..2..2..0..1..0..0
%e A250526 ..0..0..1..2..0..1..1..2....0..0..1..1..1..0..1..2....1..0..1..1..1..2..1..2
%K A250526 nonn
%O A250526 1,1
%A A250526 _R. H. Hardin_, Nov 24 2014