Triangle read by rows: T(n, k) = (-1)^(n-k)*Stirling1(n, k)*CatalanNumber(k).

Terms

a(0) =1a(1) =0a(2) =1a(3) =0a(4) =1a(5) =2a(6) =0a(7) =2a(8) =6a(9) =5a(10) =0a(11) =6a(12) =22a(13) =30a(14) =14a(15) =0a(16) =24a(17) =100a(18) =175a(19) =140a(20) =42a(21) =0a(22) =120a(23) =548a(24) =1125a(25) =1190a(26) =630a(27) =132a(28) =0a(29) =720