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%I #4 Dec 08 2013 06:36:45
%S 28,117,444,1588,5387,17645,56425,177289,549976,1690006,5158577,
%T 15668130,47422454,143161949,431407408,1298283373,3903506520,
%U 11728583997,35224065039,105750970102
%N Number of (n+1)X(1+1) 0..2 arrays x(i,j) with row sums sum{x(i,j), j=1..1+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing
%C Column 1 of A233374
%e Some solutions for n=5
%e ..0..1....0..0....0..2....1..0....1..0....0..1....2..0....0..2....1..0....0..0
%e ..1..0....0..1....0..2....0..1....1..0....0..1....0..2....2..1....0..1....1..2
%e ..1..0....0..1....2..0....1..0....1..0....0..2....1..1....2..1....2..0....2..1
%e ..0..2....1..0....1..1....1..1....0..1....0..2....1..1....1..2....0..2....2..1
%e ..1..1....1..2....1..2....0..2....0..2....0..2....1..1....2..1....0..2....1..2
%e ..2..2....2..2....2..2....2..1....0..2....1..1....1..1....1..2....2..2....1..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 08 2013