Triangle read by rows: T(n, k) = Stirling2(n, k)*CatalanNumber(k).

Terms

a(0) =1a(1) =0a(2) =1a(3) =0a(4) =1a(5) =2a(6) =0a(7) =1a(8) =6a(9) =5a(10) =0a(11) =1a(12) =14a(13) =30a(14) =14a(15) =0a(16) =1a(17) =30a(18) =125a(19) =140a(20) =42a(21) =0a(22) =1a(23) =62a(24) =450a(25) =910a(26) =630a(27) =132a(28) =0a(29) =1