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

Terms

a(0) =1a(1) =1a(2) =1a(3) =3a(4) =5a(5) =2a(6) =13a(7) =29a(8) =21a(9) =5a(10) =73a(11) =200a(12) =202a(13) =90a(14) =15a(15) =501a(16) =1609a(17) =2045a(18) =1295a(19) =410a(20) =52a(21) =4051a(22) =14809a(23) =22418a(24) =18085a(25) =8220a(26) =1998a(27) =203a(28) =37633a(29) =153453