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

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =18a(5) =1a(6) =1a(7) =90a(8) =90a(9) =1a(10) =1a(11) =280a(12) =1400a(13) =280a(14) =1a(15) =1a(16) =675a(17) =10500a(18) =10500a(19) =675a(20) =1a(21) =1a(22) =1386a(23) =51975a(24) =161700a(25) =51975a(26) =1386a(27) =1a(28) =1a(29) =2548