Triangle read by rows: T(n, k) = Lah(n, k)*CatalanNumber(k), and Lah = A271703.

Terms

a(0) =1a(1) =0a(2) =1a(3) =0a(4) =2a(5) =2a(6) =0a(7) =6a(8) =12a(9) =5a(10) =0a(11) =24a(12) =72a(13) =60a(14) =14a(15) =0a(16) =120a(17) =480a(18) =600a(19) =280a(20) =42a(21) =0a(22) =720a(23) =3600a(24) =6000a(25) =4200a(26) =1260a(27) =132a(28) =0a(29) =5040