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^2*x(i,j), i=1..n+1} nondecreasing.

A233049

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^2*x(i,j), i=1..n+1} nondecreasing.

Terms

    a(0) =29a(1) =106a(2) =117a(3) =316a(4) =1112a(5) =406a(6) =830a(7) =8494a(8) =10029a(9) =1236a(10) =1957a(11) =55833a(12) =205965a(13) =76535a(14) =3486a(15) =4221a(16) =321015a(17) =3663434a(18) =4406966a(19) =517022a(20) =9301a(21) =8521a(22) =1643645a(23) =56606272a(24) =222064761a(25) =82425923a(26) =3217676a(27) =23663a(28) =16235a(29) =7654949

External references