A233061 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*x(i,j), i=1..n+1} nondecreasing

34, 319, 2875, 30692, 334580, 3654675, 39886178, 433495407, 4690717033, 50556528980