Triangle read by rows: T(n, k) = (k+1)*S2(n+1, k+1), for n >= k >= 0, and S2 = A048993 (Stirling2).

Terms

a(0) =1a(1) =1a(2) =2a(3) =1a(4) =6a(5) =3a(6) =1a(7) =14a(8) =18a(9) =4a(10) =1a(11) =30a(12) =75a(13) =40a(14) =5a(15) =1a(16) =62a(17) =270a(18) =260a(19) =75a(20) =6a(21) =1a(22) =126a(23) =903a(24) =1400a(25) =700a(26) =126a(27) =7a(28) =1a(29) =254