An Asymptotic Form of the Generating Function ${\prod }_{k=1}^{\infty }(1+x^k/k)$

Andreas B. G. Blobel

It is shown that the sequence of rational numbers $r(k)$ generated by the ordinary generating function ${\prod }_{k=1}^{\infty }(1+x^k/k)$ converges to a limit $C>0$. $C$ can be expre…