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#44 by N. J. A. Sloane at Sun Sep 04 12:56:37 EDT 2022
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#43 by Bernard Schott at Thu Sep 01 06:23:52 EDT 2022
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Discussion
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| Thu Sep 01
| 06:54
| Joerg Arndt: Yes, according to Wikipedia and Mathworld this one should be "Levy's constant" (not "inverse ...") and A089729 should be "inverse ..."; another set of eyes would be helpful.
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| 06:56
| Amiram Eldar: Yes, this is confusing. But note that Finch (Mathematical Constants, 2003, pp. 156) says that the coefficient of ln(N), i.e., 12*log(2)/Pi^2 is Levy's constant. So it appears that there are 3 (and not 2) versions for what exactly is Levy's constant.
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| 07:06
| Amiram Eldar: But as far as I can tell by looking at the sources, only Finch and A089729 calls 12*log(2)/Pi^2 the Levy's constant.
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| 12:50
| Bernard Schott: Thanks. So, maybe, is it possible to propose three versions for the Levy's constant: A086702, A089729, A100199 with version 1, version 2,
and version 3 in the order you want (?)
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#42 by Bernard Schott at Thu Sep 01 06:18:01 EDT 2022
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| COMMENTS
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The term "Lévy's constant" is sometimes used to refer to this constant (Wikipedia). - Bernard Schott, Sep 01 2022
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| LINKS
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Wikipedia, <a href="https://en.wikipedia.org/wiki/Lévy's_constant">Lévy's constant</a>.
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| STATUS
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proposed
editing
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Discussion
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| Thu Sep 01
| 06:23
| Bernard Schott: I think that second part of the Name "inverse of Levy's constant" is not right (?) and name of A089729 is not right too (?) See Wolfram and Wikipedia links.
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| 06:23
| Bernard Schott: Thanks Amiram.
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#41 by Amiram Eldar at Thu Sep 01 05:22:40 EDT 2022
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#40 by Amiram Eldar at Thu Sep 01 05:22:36 EDT 2022
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| LINKS
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R. M. Corless, <a href="https://www.jstor.org/stable/2325053?origin=crossref#metadata_info_tab_contents">Continued Fractions and Chaos</a>, Amer. Math. Monthly 99, 203-215, 1992.
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| STATUS
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proposed
editing
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#39 by Amiram Eldar at Thu Sep 01 05:21:22 EDT 2022
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#38 by Amiram Eldar at Thu Sep 01 05:21:20 EDT 2022
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| FORMULA
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Equals (-1/log(2)) * Integral_{x=0..1} lnlog(x)/(1+x) dx (from Corless, 1992). - Bernard Schott, Sep 01 2022
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| STATUS
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proposed
editing
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#37 by Bernard Schott at Thu Sep 01 04:52:01 EDT 2022
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#36 by Bernard Schott at Thu Sep 01 04:39:40 EDT 2022
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| FORMULA
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Equals - (-1/log(2) )) * Integral_{x=0..1} ln(x)/(1+x) dx (from Corless, 1992). - Bernard Schott, Sep 01 2022
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Discussion
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| Thu Sep 01
| 04:51
| Bernard Schott: Formula with link.
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#35 by Bernard Schott at Thu Sep 01 04:38:41 EDT 2022
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| LINKS
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R. M. Corless, <a href="https://www.jstor.org/stable/2325053?origin=crossref#metadata_info_tab_contents">Continued Fractions and Chaos</a>, Amer. Math. Monthly 99, 203-215, 1992.
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| FORMULA
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Equals -1/log(2) IntIntegral_{x=0..1} ln(x)/(1+x) dx (from Corless, 1992). - Bernard Schott, Sep 01 2022
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