T(n,k) = numerator of 2PiSum_{j=0..n-k-1} ((-1)^jn(k + j + 2)(n + k +j)!(k + j)!^2)/((n - k - j - 1)!(2k + j + 1)!j!Gamma(k + j + 3/2)*Gamma(k + j + 5/2)), triangle read by rows (n >= 1, 0 <= k <= n - 1).

A159982

T(n,k) = numerator of 2*Pi*Sum_{j=0..n-k-1} ((-1)^j*n*(k + j + 2)*(n + k +j)!*(k + j)!^2)/((n - k - j - 1)!*(2*k + j + 1)!*j!*Gamma(k + j + 3/2)*Gamma(k + j + 5/2)), triangle read by rows (n >= 1, 0 <= k <= n - 1).