Exponential transform of Stirling2 triangle A008277.

Terms

a(0) =1a(1) =1a(2) =2a(3) =1a(4) =6a(5) =5a(6) =1a(7) =14a(8) =30a(9) =15a(10) =1a(11) =30a(12) =125a(13) =150a(14) =52a(15) =1a(16) =62a(17) =450a(18) =975a(19) =780a(20) =203a(21) =1a(22) =126a(23) =1505a(24) =5250a(25) =7280a(26) =4263a(27) =877a(28) =1a(29) =254