A233060 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.
22, 130, 723, 4393, 26819, 162916, 986252, 5942365, 35694392, 213988742, 1280906379, 7658873200, 45771779047, 273459449270, 1633697384455
Offset: 1
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Examples
Some solutions for n=5 ..0..0..1..0....0..0..1..0....0..0..0..1....0..0..1..1....0..0..1..1 ..1..0..0..0....0..0..1..1....0..0..0..1....1..0..0..1....0..1..0..1 ..1..0..0..0....1..0..0..1....1..0..0..0....1..0..0..1....1..0..0..1 ..0..0..1..1....0..0..1..1....0..0..1..0....0..0..1..1....0..0..1..1 ..0..1..0..1....0..1..0..1....0..0..0..1....0..1..1..0....0..1..1..1 ..1..1..1..1....0..1..1..0....0..1..1..1....0..1..1..1....1..1..1..1
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