T(n, k) = n! * [x^n] exp(k * x/(1 - x))/(1 - x). Triangle read by rows, T(n, k) for 0 <= k <= n.

Terms

a(0) =1a(1) =1a(2) =2a(3) =2a(4) =7a(5) =14a(6) =6a(7) =34a(8) =86a(9) =168a(10) =24a(11) =209a(12) =648a(13) =1473a(14) =2840a(15) =120a(16) =1546a(17) =5752a(18) =14988a(19) =32344a(20) =61870a(21) =720a(22) =13327a(23) =58576a(24) =173007a(25) =414160a(26) =866695a(27) =1649232a(28) =5040a(29) =130922