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%I #4 Nov 30 2013 09:43:16
%S 14,45,130,336,785,1682,3147,5503,9093,14712,23367,36381,55596,83178,
%T 120578,170723,237631,325525,440905,591178,785662,1032731,1340338,
%U 1720918,2188248,2758662,3455709,4299895,5321516,6544201,7995871,9711547
%N Number of (n+1)X(2+1) 0..1 arrays x(i,j) with row sums sum{j^4*x(i,j), j=1..2+1} nondecreasing, and column sums sum{i^4*x(i,j), i=1..n+1} nondecreasing
%C Column 2 of A232797
%H R. H. Hardin, <a href="/A232791/b232791.txt">Table of n, a(n) for n = 1..210</a>
%e Some solutions for n=5
%e ..0..0..1....1..0..0....0..0..0....0..0..0....1..0..0....1..0..0....0..0..0
%e ..0..0..1....1..1..0....0..0..0....0..1..0....1..0..0....1..0..0....0..1..0
%e ..0..0..1....1..0..1....1..0..0....0..0..1....1..0..0....1..0..0....0..1..0
%e ..1..1..1....0..1..1....1..0..0....1..0..1....1..0..0....0..1..0....0..0..1
%e ..1..1..1....0..1..1....0..1..1....1..0..1....0..1..1....1..0..1....1..1..1
%e ..1..1..1....1..1..1....1..1..1....0..1..1....0..1..1....0..1..1....1..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 30 2013