Triangle of certain generalized Bell numbers.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =1a(5) =1a(6) =5a(7) =7a(8) =1a(9) =1a(10) =15a(11) =87a(12) =34a(13) =1a(14) =1a(15) =52a(16) =1657a(17) =2971a(18) =209a(19) =1a(20) =1a(21) =203a(22) =43833a(23) =513559a(24) =163121a(25) =1546a(26) =1a(27) =1a(28) =877a(29) =1515903