Triangle T(n,k) = binomial(2*n,k) *binomial(2*n-2*k,n-k), read by rows; 0<=k<=n.

Terms

a(0) =1a(1) =2a(2) =2a(3) =6a(4) =8a(5) =6a(6) =20a(7) =36a(8) =30a(9) =20a(10) =70a(11) =160a(12) =168a(13) =112a(14) =70a(15) =252a(16) =700a(17) =900a(18) =720a(19) =420a(20) =252a(21) =924a(22) =3024a(23) =4620a(24) =4400a(25) =2970a(26) =1584a(27) =924a(28) =3432a(29) =12936