%I #7 Dec 08 2013 13:37:32
%S 444,10496,202692,3297833,46482312,579835701,6509469538,66642934268,
%T 628883018246,5518306278777,45357047785845,351381939241378,
%U 2579374029688225,18023614609572379,120364975288294768
%N Number of (3+1)X(n+1) 0..2 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 A233374.
%H R. H. Hardin, <a href="/A233377/b233377.txt">Table of n, a(n) for n = 1..17</a>
%e Some solutions for n=2
%e ..1..2..0....1..0..2....0..0..2....2..0..0....1..1..0....1..1..0....0..0..2
%e ..1..2..1....2..0..2....2..1..0....2..0..0....0..0..2....1..1..0....2..2..0
%e ..1..2..1....2..0..2....1..1..1....0..1..1....0..1..1....1..1..2....0..2..2
%e ..1..1..2....0..2..2....0..1..2....0..1..2....0..2..2....2..2..2....1..1..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 08 2013
