Is there a closed form for the following infinite series? $$\sum_{n=1}^\infty \frac{1}{P(n)}=1+\frac{1}{2}+\frac{1}{3}+\frac{1}{5}+...$$ where $P(n)$ is the partition function.

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    $\begingroup$ Interesting question. Does it come from some applications? Inverse symbolic calculator does not propose anything promising. $\endgroup$ – Start wearing purple Sep 11 '15 at 15:06
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    $\begingroup$ To be more precise, with $20$ digits ISC says "Wow, really found nothing". $\endgroup$ – Start wearing purple Sep 11 '15 at 15:30
  • $\begingroup$ See OEIS A$078506$. $\endgroup$ – Lucian Sep 11 '15 at 22:51

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