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A250525 Number of (n+1)X(6+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 A250525 #6 Jul 23 2025 12:30:00
%S A250525 35064,214812,896191,3088923,9580060,27910024,78204775,213775147,
%T A250525 575554760,1537251580,4096973351,10948193747,29449843532,79976028008,
%U A250525 219684249567,610918710611,1719898743144,4898224161036,14095078529871
%N A250525 Number of (n+1)X(6+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 A250525 Column 6 of A250527
%H A250525 R. H. Hardin, <a href="/A250525/b250525.txt">Table of n, a(n) for n = 1..210</a>
%F A250525 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 A250525 Some solutions for n=1
%e A250525 ..2..1..1..2..2..2..0....2..1..1..0..1..1..2....2..1..1..1..0..2..0
%e A250525 ..0..0..0..2..2..2..1....0..1..1..0..1..1..2....0..0..1..1..0..2..1
%K A250525 nonn
%O A250525 1,1
%A A250525 _R. H. Hardin_, Nov 24 2014