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

Terms

a(0) =1a(1) =2a(2) =1a(3) =6a(4) =8a(5) =1a(6) =20a(7) =54a(8) =18a(9) =1a(10) =70a(11) =320a(12) =216a(13) =32a(14) =1a(15) =252a(16) =1750a(17) =2000a(18) =600a(19) =50a(20) =1a(21) =924a(22) =9072a(23) =15750a(24) =8000a(25) =1350a(26) =72a(27) =1a(28) =3432a(29) =45276