Triangle T(n,k) = total of number at last index for all set partitions of n into k parts.

Terms

a(0) =1a(1) =1a(2) =2a(3) =1a(4) =5a(5) =3a(6) =1a(7) =11a(8) =15a(9) =4a(10) =1a(11) =23a(12) =57a(13) =34a(14) =5a(15) =1a(16) =47a(17) =195a(18) =200a(19) =65a(20) =6a(21) =1a(22) =95a(23) =633a(24) =1010a(25) =550a(26) =111a(27) =7a(28) =1a(29) =191