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

Terms

a(0) =1a(1) =1a(2) =3a(3) =1a(4) =8a(5) =6a(6) =1a(7) =15a(8) =30a(9) =10a(10) =1a(11) =24a(12) =90a(13) =80a(14) =15a(15) =1a(16) =35a(17) =210a(18) =350a(19) =175a(20) =21a(21) =1a(22) =48a(23) =420a(24) =1120a(25) =1050a(26) =336a(27) =28a(28) =1a(29) =63