T(n,k)=Number of nXk 0..2 arrays with rows and columns in nondecreasing order.

Terms

a(0) =3a(1) =6a(2) =6a(3) =10a(4) =29a(5) =10a(6) =15a(7) =112a(8) =112a(9) =15a(10) =21a(11) =356a(12) =1169a(13) =356a(14) =21a(15) =28a(16) =972a(17) =10020a(18) =10020a(19) =972a(20) =28a(21) =36a(22) =2359a(23) =70243a(24) =250841a(25) =70243a(26) =2359a(27) =36a(28) =45a(29) =5217