%I
%S 356,10020,250841,5049004,81165760,1100553095,12972830143,
%T 135388726387,1274013956481,10999910504747
%N Number of (n+1)X(3+1) 0..2 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 A232852
%e Some solutions for n=2
%e ..2..1..0..0....0..1..2..0....0..0..0..1....0..1..2..0....1..0..0..1
%e ..0..0..2..0....1..0..0..1....0..0..0..2....0..0..0..2....0..1..2..1
%e ..0..1..1..2....0..1..2..2....0..0..1..2....0..0..2..2....0..0..0..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 01 2013
