%I #3 Dec 07 2013 06:24:46
%S 22,105,567,3556,21856,135636,836259,5134856,31326263,190404404,
%T 1153108628,6966626079,42004555617,252889763684
%N Number of (n+1)X(3+1) 0..1 arrays x(i,j) with row sums sum{x(i,j), j=1..3+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing
%C Column 3 of A233301
%e Some solutions for n=5
%e ..1..0..0..0....0..0..0..1....0..1..1..0....0..0..1..0....0..1..1..0
%e ..1..0..0..1....1..0..0..0....0..1..0..1....0..0..0..1....0..1..1..0
%e ..1..1..0..0....0..0..0..1....1..0..0..1....0..0..1..0....1..1..0..0
%e ..1..1..0..0....1..1..0..0....0..1..1..0....0..0..0..1....0..0..1..1
%e ..1..0..1..1....0..0..1..1....0..1..0..1....0..0..0..1....1..0..0..1
%e ..0..1..1..1....0..1..1..1....0..0..1..1....0..1..1..1....0..1..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 07 2013
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