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%I #5 Dec 03 2013 18:32:19
%S 29,117,406,1236,3486,9301,23663,58115,138690,323840,742851,1679010,
%T 3749771,8289248,18168895,39536497,85496710,183891668,393668931,
%U 839245009,1782590609,3773864595,7965997430,16770228087,35219988730
%N Number of (n+1)X(1+1) 0..2 arrays x(i,j) with row sums sum{j*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 A233049
%H R. H. Hardin, <a href="/A233046/b233046.txt">Table of n, a(n) for n = 1..27</a>
%e Some solutions for n=5
%e ..0..0....0..1....2..1....1..0....1..0....0..0....2..0....0..0....2..1....0..1
%e ..0..1....2..0....2..1....1..0....1..0....1..0....0..1....2..0....2..1....0..1
%e ..1..1....0..1....0..2....2..1....1..1....1..0....1..1....2..0....0..2....0..1
%e ..2..1....0..1....1..2....0..2....1..1....2..0....2..1....0..2....0..2....1..1
%e ..1..2....2..1....1..2....0..2....0..2....0..1....0..2....0..2....2..1....1..1
%e ..1..2....1..2....1..2....2..1....0..2....0..1....2..2....2..2....0..2....1..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 03 2013