%I #6 Jan 17 2016 17:48:30
%S 31,141,567,1986,6292,18205,48913,123084,292784,662512,1434508,
%T 2985639,5997455,11666253,22040149,40541549,72770415,127706638,
%U 219494579,370035418,612722058,997726253,1599424522,2526675993,3936943281
%N Number of (3+1)X(n+1) 0..1 arrays x(i,j) with row sums sum{x(i,j), j=1..n+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..3+1} nondecreasing
%C Row 3 of A233301, row 4 of A267245.
%H R. H. Hardin, <a href="/A233303/b233303.txt">Table of n, a(n) for n = 1..66</a>
%e Some solutions for n=5
%e ..0..0..1..0..0..0....0..1..0..0..0..1....0..0..0..0..0..1....1..1..1..0..0..0
%e ..1..0..0..1..0..0....0..0..0..1..1..1....1..0..1..0..0..1....0..0..0..1..1..1
%e ..1..0..0..0..1..1....0..0..0..1..1..1....0..1..1..0..0..1....1..0..1..1..1..1
%e ..0..1..1..1..1..1....0..0..1..1..1..1....0..0..0..1..1..1....0..1..1..1..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 07 2013
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