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%I #7 Nov 15 2018 15:04:28
%S 159,286,445,636,859,1114,1401,1720,2071,2454,2869,3316,3795,4306,
%T 4849,5424,6031,6670,7341,8044,8779,9546,10345,11176,12039,12934,
%U 13861,14820,15811,16834,17889,18976,20095,21246,22429,23644,24891,26170,27481,28824
%N 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 min(x(i,j),x(i-1,j)) in the j direction.
%H R. H. Hardin, <a href="/A250659/b250659.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 16*n^2 + 79*n + 64.
%F Conjectures from _Colin Barker_, Nov 15 2018: (Start)
%F G.f.: x*(159 - 191*x + 64*x^2) / (1 - x)^3.
%F a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n>3.
%F (End)
%e Some solutions for n=4:
%e ..0..0..0..0..0....1..1..1..1..1....0..0..0..0..0....1..1..1..0..0
%e ..1..1..1..1..1....1..1..1..1..1....1..1..1..1..1....0..0..0..0..0
%e ..1..1..1..1..1....0..0..0..0..0....1..1..1..1..1....1..1..1..1..1
%e ..0..0..0..0..0....1..1..1..1..1....1..1..1..1..1....1..1..1..1..1
%e ..0..1..1..1..1....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0
%e ..0..1..1..1..1....1..1..1..1..1....0..0..0..0..1....0..1..1..1..1
%Y Row 5 of A250656.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 26 2014
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