A233048 Number of (n+1)X(3+1) 0..2 arrays x(i,j) with row sums sum{j*x(i,j), j=1..3+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing

316, 8494, 205965, 4406966, 82425923, 1386551033, 21335158650, 304189186996