Numerators of the rational number triangle R(n, k) = (n^4 - 30*n^2*k^2 + 60*n*k^3 -30*k^4) / (120*n), n >= 1, k = 1, ..., n. This is a regularized Sum_{j >= 0} (k + n*j)^(-s) for s = -3 defined by analytic continuation of a generalized Hurwitz zeta function.

A268919

Numerators of the rational number triangle R(n, k) = (n^4 - 30*n^2*k^2 + 60*n*k^3 -30*k^4) / (120*n), n >= 1, k = 1, ..., n. This is a regularized Sum_{j >= 0} (k + n*j)^(-s) for s = -3 defined by analytic continuation of a generalized Hurwitz zeta function.