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

A232778

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

Terms

    a(0) =30a(1) =118a(2) =118a(3) =387a(4) =1176a(5) =387a(6) =1175a(7) =9607a(8) =9607a(9) =1175a(10) =3294a(11) =71172a(12) =216153a(13) =71172a(14) =3294a(15) =8679a(16) =474271a(17) =4315199a(18) =4315199a(19) =474271a(20) =8679a(21) =21991a(22) =2888324a(23) =77206290a(24) =237056318a(25) =77206290a(26) =2888324a(27) =21991a(28) =53823a(29) =16411386

External references