Triangle read by rows. T(n, k) = binomial(n, k) * CatalanNumber(n - k).

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =2a(5) =1a(6) =5a(7) =6a(8) =3a(9) =1a(10) =14a(11) =20a(12) =12a(13) =4a(14) =1a(15) =42a(16) =70a(17) =50a(18) =20a(19) =5a(20) =1a(21) =132a(22) =252a(23) =210a(24) =100a(25) =30a(26) =6a(27) =1a(28) =429a(29) =924