A233300 Number of (n+1)X(4+1) 0..1 arrays x(i,j) with row sums sum{x(i,j), j=1..4+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing.
34, 232, 1986, 21957, 239330, 2694620, 30257296, 338790472, 3761876941, 41492573432
Offset: 1
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Examples
Some solutions for n=5 ..0..0..0..0..0....0..0..0..0..0....0..0..1..0..1....0..0..0..1..1 ..0..0..1..0..0....0..0..1..1..1....0..0..1..0..1....0..1..1..0..0 ..1..0..0..1..1....0..1..0..1..1....1..1..0..0..0....1..0..0..1..0 ..1..0..1..0..1....0..1..1..1..1....1..0..1..0..1....0..0..1..1..0 ..0..0..1..1..1....1..0..1..1..1....0..0..1..1..1....1..0..0..0..1 ..0..1..0..1..1....1..1..1..1..1....0..1..0..1..1....0..1..1..1..1
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