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%I #3 Dec 03 2013 18:51:24
%S 567,12943,230008,3388003,42636091,469323351,4607489801,40982900059,
%T 334422112594,2527496746520,17840951367541,118449958746452,
%U 743824605320424
%N Number of (2+1)X(n+1) 0..3 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..2+1} nondecreasing
%C Row 2 of A233055
%e Some solutions for n=2
%e ..0..3..0....1..1..1....0..3..0....0..1..3....0..0..0....0..2..1....0..0..1
%e ..0..3..0....3..2..3....2..0..2....0..3..3....2..0..3....1..1..3....2..1..1
%e ..0..1..3....2..3..3....1..3..3....0..3..3....0..1..3....3..3..3....0..3..3
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 03 2013