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%I #5 Nov 30 2013 08:49:56
%S 29,110,338,898,2139,4667,9450,18046,32763,57062,95885,155991,246809,
%T 380608,573789,847563,1229220,1753394,2463291,3412633,4667474,6308592,
%U 8433051,11157362,14622029,18993121,24467077,31273565,39680313,50001421
%N Number of (n+1)X(1+1) 0..2 arrays x(i,j) with row sums sum{j^2*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 A232783
%H R. H. Hardin, <a href="/A232780/b232780.txt">Table of n, a(n) for n = 1..75</a>
%e Some solutions for n=6
%e ..0..0....1..0....0..0....0..0....0..0....0..1....1..0....1..0....0..0....0..0
%e ..0..0....0..1....0..1....1..0....0..0....0..1....1..0....2..0....2..0....0..0
%e ..1..0....2..1....0..1....0..1....0..0....0..1....1..0....2..0....0..1....0..0
%e ..1..1....2..1....2..1....0..1....0..0....0..2....1..1....2..0....2..1....0..0
%e ..0..2....0..2....1..2....0..1....1..0....0..2....2..1....2..1....2..1....2..0
%e ..0..2....2..2....1..2....2..1....0..2....1..2....1..2....0..2....0..2....0..1
%e ..1..2....2..2....1..2....2..2....1..2....1..2....1..2....0..2....1..2....0..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 30 2013