%I #4 Dec 08 2013 06:24:16
%S 25,139,568,1964,6412,19711,56427,150258,375826,893100,2024828,
%T 4391269,9165068,18490081,36156100,68675984,126997620,229017852,
%U 403366974,695484750,1176286197,1955039200,3196887389,5147543575,8168623537
%N Number of (3+1)X(n+1) 0..1 arrays x(i,j) with row sums sum{j*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 A233366
%H R. H. Hardin, <a href="/A233368/b233368.txt">Table of n, a(n) for n = 1..31</a>
%e Some solutions for n=5
%e ..1..1..1..0..0..0....1..1..1..0..0..0....0..0..0..1..0..0....0..0..0..0..0..0
%e ..1..1..0..1..1..1....0..0..0..0..0..1....1..0..0..0..1..1....0..1..1..0..0..0
%e ..1..1..0..1..1..1....0..0..0..1..1..1....1..0..1..1..1..1....0..1..0..1..1..1
%e ..0..0..1..1..1..1....1..1..1..1..1..1....0..1..1..1..1..1....0..0..1..1..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 08 2013