Timeline for What does the generating function $x/(1 - e^{-x})$ count?
Current License: CC BY-SA 2.5
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Oct 13, 2022 at 14:53 | comment | added | Sidharth Ghoshal | Ah so the answer for the evens is given by the euler numbers... Seems like there should be a way to analytically continue the euler numbers and end up with another interesting complex function. | |
Oct 13, 2022 at 2:39 | comment | added | Sidharth Ghoshal | This is very cool especially with that $2n$ in the numerator which stronlgy suggests a bridge between the riemann zeta function and alternating permutations too. Curiously where $B_{2n}$ is 0 the alternating permutation example might still be definable and that could imply the existence of "even permutation"-zeta function. | |
Feb 23, 2010 at 16:44 | history | edited | David E Speyer | CC BY-SA 2.5 |
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Feb 23, 2010 at 16:24 | history | answered | David E Speyer | CC BY-SA 2.5 |