T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with rows and columns nondecreasing.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =1a(6) =1a(7) =2a(8) =4a(9) =1a(10) =1a(11) =3a(12) =7a(13) =9a(14) =1a(15) =1a(16) =3a(17) =14a(18) =29a(19) =21a(20) =1a(21) =1a(22) =4a(23) =21a(24) =112a(25) =140a(26) =51a(27) =1a(28) =1a(29) =4