T(n,k)=Number of nXk 0,1 arrays with the row and column sums nondecreasing.

Terms

a(0) =2a(1) =3a(2) =3a(3) =4a(4) =8a(5) =4a(6) =5a(7) =17a(8) =17a(9) =5a(10) =6a(11) =37a(12) =66a(13) =37a(14) =6a(15) =7a(16) =73a(17) =235a(18) =235a(19) =73a(20) =7a(21) =8a(22) =151a(23) =824a(24) =1526a(25) =824a(26) =151a(27) =8a(28) =9a(29) =293