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%I #3 Dec 03 2013 19:32:09
%S 22,130,723,4393,26819,162916,986252,5942365,35694392,213988742,
%T 1280906379,7658873200,45771779047,273459449270,1633697384455
%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*x(i,j), i=1..n+1} nondecreasing
%C Column 3 of A233062
%e Some solutions for n=5
%e ..0..0..1..0....0..0..1..0....0..0..0..1....0..0..1..1....0..0..1..1
%e ..1..0..0..0....0..0..1..1....0..0..0..1....1..0..0..1....0..1..0..1
%e ..1..0..0..0....1..0..0..1....1..0..0..0....1..0..0..1....1..0..0..1
%e ..0..0..1..1....0..0..1..1....0..0..1..0....0..0..1..1....0..0..1..1
%e ..0..1..0..1....0..1..0..1....0..0..0..1....0..1..1..0....0..1..1..1
%e ..1..1..1..1....0..1..1..0....0..1..1..1....0..1..1..1....1..1..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 03 2013