Triangle T(n,k) = binomial(n,k)*binomial(n+k+1,n+1) read by rows, 0 <= k <= n.

Terms

a(0) =1a(1) =1a(2) =3a(3) =1a(4) =8a(5) =10a(6) =1a(7) =15a(8) =45a(9) =35a(10) =1a(11) =24a(12) =126a(13) =224a(14) =126a(15) =1a(16) =35a(17) =280a(18) =840a(19) =1050a(20) =462a(21) =1a(22) =48a(23) =540a(24) =2400a(25) =4950a(26) =4752a(27) =1716a(28) =1a(29) =63