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

A233055

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

Terms

    a(0) =84a(1) =517a(2) =567a(3) =2504a(4) =12943a(5) =3133a(6) =10259a(7) =230008a(8) =263629a(9) =14845a(10) =36681a(11) =3388003a(12) =17810392a(13) =4493649a(14) =63271a(15) =117336a(16) =42636091a(17) =1003305932a(18) =1158868388a(19) =67014557a(20) =247417a(21) =342631a(22) =469323351a(23) =48050514719a(24) =252737269997a(25) =65031861708a(26) =897520231

External references