tea.mathoverflow.net - Discussion Feed (Factorial series)2018-11-04T14:19:34-08:00http://mathoverflow.tqft.net/
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Mariano comments on "Factorial series" (18000)http://mathoverflow.tqft.net/discussion/1268/factorial-series/?Focus=18000#Comment_180002012-01-08T19:47:48-08:002018-11-04T14:19:34-08:00Marianohttp://mathoverflow.tqft.net/account/61/
http://www.wolframalpha.com/input/?i=sum+n!%2F%28%282^%28n-1%29%29%282n-1%29!%29
http://www.wolframalpha.com/input/?i=sum+n!%2F%28%282^%28n-1%29%29%282n-1%29!%29
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j2m comments on "Factorial series" (17985)http://mathoverflow.tqft.net/discussion/1268/factorial-series/?Focus=17985#Comment_179852012-01-07T20:10:13-08:002018-11-04T14:19:34-08:00j2mhttp://mathoverflow.tqft.net/account/402/
Yes it can; a little bird told me that your series is equal to $\frac18\left(4+5\sqrt[8]{e}\sqrt{2\pi}\mathrm{erf}\left(\frac1{\sqrt{8}}\right)\right)$.
As for this being a good MO query, well...
Yes it can; a little bird told me that your series is equal to $\frac18\left(4+5\sqrt[8]{e}\sqrt{2\pi}\mathrm{erf}\left(\frac1{\sqrt{8}}\right)\right)$.
As for this being a good MO query, well...
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Vassilis Parassidis comments on "Factorial series" (17984)http://mathoverflow.tqft.net/discussion/1268/factorial-series/?Focus=17984#Comment_179842012-01-07T14:38:34-08:002018-11-04T14:19:34-08:00Vassilis Parassidishttp://mathoverflow.tqft.net/account/644/
During my work on particular functions I came up with the following: n!/[(2^{n-1})(2n-1)!]As n takes values from 1 to infinity the sum converges to a limit that I cannot express in a closed form. ...
As n takes values from 1 to infinity the sum converges to a limit that I cannot express in a closed form. Does anyone have an idea whether this limit can be expressed in a closed form?
If this, in its present form, is not a good MO question, how can I improve it?]]>