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%I #4 Nov 30 2013 09:43:52
%S 25,130,650,2942,11819,42305,127788,340647,812254,1845329,4090533,
%T 8883930,18856951,39064639,78110927,150282496,279339615,503544700,
%U 885775170,1527791237,2592456480,4335154285,7134155240,11544683457
%N Number of (n+1)X(3+1) 0..1 arrays x(i,j) with row sums sum{j^4*x(i,j), j=1..3+1} nondecreasing, and column sums sum{i^4*x(i,j), i=1..n+1} nondecreasing
%C Column 3 of A232797
%H R. H. Hardin, <a href="/A232792/b232792.txt">Table of n, a(n) for n = 1..29</a>
%e Some solutions for n=5
%e ..0..1..0..0....1..0..0..1....0..0..0..0....1..0..0..0....1..1..0..1
%e ..1..0..1..0....1..0..0..1....1..0..0..0....1..1..0..1....1..1..0..1
%e ..0..1..1..0....1..0..0..1....0..1..0..0....1..1..0..1....0..0..1..1
%e ..1..1..0..1....1..0..1..1....0..0..1..1....1..1..0..1....1..1..1..1
%e ..1..1..0..1....0..1..1..1....1..0..1..1....0..0..1..1....1..1..1..1
%e ..0..0..1..1....1..1..1..1....0..1..1..1....0..1..1..1....1..1..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 30 2013