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

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =9a(5) =1a(6) =1a(7) =30a(8) =30a(9) =1a(10) =1a(11) =70a(12) =225a(13) =70a(14) =1a(15) =1a(16) =135a(17) =980a(18) =980a(19) =135a(20) =1a(21) =1a(22) =231a(23) =3150a(24) =7056a(25) =3150a(26) =231a(27) =1a(28) =1a(29) =364