%I #3 Nov 30 2013 17:35:30
%S 23,128,578,2329,8898,32279,111609,367415,1156446,3507097,10298283,
%T 29408921,81999117,223720287,598317070,1572579642,4069639443,
%U 10383180004,26154898488,65117553622
%N Number of (n+1)X(3+1) 0..1 arrays x(i,j) with row sums sum{j*x(i,j), j=1..3+1} nondecreasing, and column sums sum{i*x(i,j), i=1..n+1} nondecreasing
%C Column 3 of A232831
%e Some solutions for n=5
%e ..0..0..1..0....0..0..1..0....0..1..0..0....0..0..0..1....0..0..0..0
%e ..0..0..0..1....0..0..0..1....1..0..0..1....1..1..1..1....1..1..0..1
%e ..0..0..0..1....0..0..1..1....0..1..1..0....1..1..1..1....0..0..1..1
%e ..0..0..1..1....0..0..1..1....0..1..0..1....1..1..1..1....0..1..1..1
%e ..0..0..1..1....1..1..1..1....0..0..1..1....1..1..1..1....1..1..1..1
%e ..1..1..0..1....1..1..1..1....1..1..1..1....1..1..1..1....1..1..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 30 2013