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

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =20a(5) =1a(6) =1a(7) =105a(8) =105a(9) =1a(10) =1a(11) =336a(12) =1764a(13) =336a(14) =1a(15) =1a(16) =825a(17) =13860a(18) =13860a(19) =825a(20) =1a(21) =1a(22) =1716a(23) =70785a(24) =226512a(25) =70785a(26) =1716a(27) =1a(28) =1a(29) =3185