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A250736 Number of (7+1)X(n+1) 0..1 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction.

%I A250736 #6 Jul 23 2025 12:45:00
%S A250736 275,513,1418,3807,9728,23941,57397,135645,317769,741367,1725118,
%T A250736 4010707,9318138,21648961,50290988,116846565,271483896,630867956,
%U A250736 1466032586,3407186212,7918751613,18405536442,42780485640,99440346555,231144060876
%N A250736 Number of (7+1)X(n+1) 0..1 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction.
%C A250736 Row 7 of A250729
%H A250736 R. H. Hardin, <a href="/A250736/b250736.txt">Table of n, a(n) for n = 1..210</a>
%F A250736 Empirical: a(n) = 7*a(n-1) -13*a(n-2) -18*a(n-3) +95*a(n-4) -89*a(n-5) -102*a(n-6) +264*a(n-7) -143*a(n-8) -94*a(n-9) +150*a(n-10) -60*a(n-11) -a(n-12) +6*a(n-13) -a(n-14) for n>19
%e A250736 Some solutions for n=4
%e A250736 ..0..0..0..0..0....0..0..0..0..0....0..0..0..0..1....0..0..0..0..0
%e A250736 ..0..0..0..0..1....0..0..0..0..1....0..0..0..0..1....0..0..0..0..1
%e A250736 ..0..0..0..0..1....0..0..0..0..1....0..0..0..1..1....0..0..0..0..1
%e A250736 ..0..0..0..0..1....0..0..0..0..1....0..0..0..1..1....0..0..1..1..1
%e A250736 ..0..0..0..0..1....0..0..0..0..1....0..1..1..1..1....0..0..1..1..1
%e A250736 ..0..0..0..0..1....1..0..1..0..1....0..1..1..1..1....0..0..1..1..1
%e A250736 ..1..0..0..0..1....0..1..0..1..1....1..1..1..1..1....0..1..1..1..1
%e A250736 ..0..1..0..1..0....1..0..1..1..1....1..1..1..1..1....0..1..1..1..1
%K A250736 nonn
%O A250736 1,1
%A A250736 _R. H. Hardin_, Nov 27 2014