Table T(n,k) by antidiagonals: T(n,k) = number of partitions of n balls of k colors.

Terms

a(0) =1a(1) =2a(2) =2a(3) =3a(4) =6a(5) =3a(6) =4a(7) =12a(8) =14a(9) =5a(10) =5a(11) =20a(12) =38a(13) =33a(14) =7a(15) =6a(16) =30a(17) =80a(18) =117a(19) =70a(20) =11a(21) =7a(22) =42a(23) =145a(24) =305a(25) =330a(26) =149a(27) =15a(28) =8a(29) =56