A232859 Number of (n+1)X(6+1) 0..1 arrays x(i,j) with row sums sum{j^3*x(i,j), j=1..6+1} nondecreasing, and column sums sum{i^3*x(i,j), i=1..n+1} nondecreasing

86, 1494, 37040, 1054179, 29338491, 672737568, 12123627839, 180942639975, 2360925109300