Generalized Bell numbers, square array read by ascending antidiagonals, A(n, k) for n, k >= 0.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =1a(5) =2a(6) =1a(7) =1a(8) =2a(9) =4a(10) =1a(11) =1a(12) =4a(13) =5a(14) =8a(15) =1a(16) =1a(17) =11a(18) =31a(19) =15a(20) =16a(21) =1a(22) =1a(23) =36a(24) =365a(25) =379a(26) =52a(27) =32a(28) =1a(29) =1