Triangle T(n, k) = Eulerian(n+1, k)*Binomial(n+1, k)/(k+1), read by rows.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =6a(5) =1a(6) =1a(7) =22a(8) =22a(9) =1a(10) =1a(11) =65a(12) =220a(13) =65a(14) =1a(15) =1a(16) =171a(17) =1510a(18) =1510a(19) =171a(20) =1a(21) =1a(22) =420a(23) =8337a(24) =21140a(25) =8337a(26) =420a(27) =1a(28) =1a(29) =988