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A250654 Number of (n+1) X (6+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 A250654 #7 Nov 15 2018 12:50:26
%S A250654 64,134,274,554,1114,2234,4474,8954,17914,35834,71674,143354,286714,
%T A250654 573434,1146874,2293754,4587514,9175034,18350074,36700154,73400314,
%U A250654 146800634,293601274,587202554,1174405114,2348810234,4697620474
%N A250654 Number of (n+1) X (6+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.
%H A250654 R. H. Hardin, <a href="/A250654/b250654.txt">Table of n, a(n) for n = 1..210</a>
%F A250654 Empirical: a(n) = 3*a(n-1) - 2*a(n-2); also a(n) = 2^(n-1)*36 + (5*2^(n-1)-1)*6 + 2^(n+1).
%F A250654 Empirical g.f.: 2*x*(32 - 29*x) / ((1 - x)*(1 - 2*x)). - _Colin Barker_, Nov 15 2018
%e A250654 Some solutions for n=4:
%e A250654 ..0..0..0..0..0..0..0....1..1..1..1..1..1..0....1..1..1..1..1..1..1
%e A250654 ..0..0..1..1..1..1..1....0..0..0..0..0..0..0....0..0..0..0..0..0..0
%e A250654 ..0..0..1..1..1..1..1....1..1..1..1..1..1..1....1..1..1..1..1..1..1
%e A250654 ..0..0..1..1..1..1..1....1..1..1..1..1..1..1....1..1..1..1..1..1..1
%e A250654 ..0..0..1..1..1..1..1....0..1..1..1..1..1..1....0..0..0..1..1..1..1
%Y A250654 Column 6 of A250656.
%K A250654 nonn
%O A250654 1,1
%A A250654 _R. H. Hardin_, Nov 26 2014