Re: [math-fun] Factorials in non-hypergeometric sums

'sum(1/(x^k + k!), k, 0, inf);

That looked intriguing. Looks to have poles at -1 and -6^(1/3) and -120^(1/5); the limit from below at those is -inf and the limit from above is +inf. To 53 bits (the precision of a 64 bit float), it about ten to fifteen terms is enough to converge. Would finding all of the poles help to determine a closed form, if there is one? There does seem to be a pattern to those poles. I didn't look at values in C, just R.... -JimC -- James Cloos <cloos@jhcloos.com> OpenPGP: 1024D/ED7DAEA6