Triangle read by rows: T(n, k) = binomial(2*n, n + k) * binomial(n + 1, k)/(n + 1).

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =4a(5) =1a(6) =5a(7) =15a(8) =9a(9) =1a(10) =14a(11) =56a(12) =56a(13) =16a(14) =1a(15) =42a(16) =210a(17) =300a(18) =150a(19) =25a(20) =1a(21) =132a(22) =792a(23) =1485a(24) =1100a(25) =330a(26) =36a(27) =1a(28) =429a(29) =3003