The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A052886

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A052886

Expansion of e.g.f.: (1/2) - (1/2)*(5 - 4*exp(x))^(1/2).
(history; published version)

#68 by Michael De Vlieger at Mon Sep 09 09:33:25 EDT 2024

STATUS

reviewed

approved

#67 by Joerg Arndt at Mon Sep 09 02:40:14 EDT 2024

STATUS

proposed

reviewed

#66 by Seiichi Manyama at Mon Sep 09 01:26:05 EDT 2024

STATUS

editing

proposed

#65 by Seiichi Manyama at Mon Sep 09 01:14:52 EDT 2024

FORMULA

From Seiichi Manyama, Sep 09 2024: (Start)

E.g.f. satisfies A(x) = (exp(x / (1 - A(x))) - 1) / (1 - A(x)).

E.g.f.: Series_Reversion( log(1 + x * (1 - x)) ). - _Seiichi Manyama_, Sep 09 2024(End)

#64 by Seiichi Manyama at Mon Sep 09 01:13:27 EDT 2024

FORMULA

E.g.f. satisfies A(x) = (exp(x / (1 - A(x))) - 1) / (1 - A(x)).

#63 by Seiichi Manyama at Mon Sep 09 00:57:26 EDT 2024

LINKS

<a href="/index/Res#revert">Index entries for reversions of series</a>

#62 by Seiichi Manyama at Mon Sep 09 00:43:32 EDT 2024

FORMULA

E.g.f.: Series_Reversion( log(1 + x * (1 - x)) ). - Seiichi Manyama, Sep 09 2024

CROSSREFS

Cf. A371316, A371317.

Cf. A371329, A376036, A376037.

STATUS

approved

editing

#61 by Michael De Vlieger at Tue Jan 02 18:10:20 EST 2024

STATUS

proposed

approved

#60 by Antti Karttunen at Tue Jan 02 16:15:59 EST 2024

STATUS

editing

proposed

#59 by Antti Karttunen at Tue Jan 02 15:56:48 EST 2024

COMMENTS

From the symmetry present in _Vladeta Jovovic_'s Feb 02 2005 formula, it is easy to see that there are no positive even numbers in this sequence. Question: After the initial 0, are there any multiples of 5 after the initial zero? Compare also to the comments in A366884. - Antti Karttunen, Jan 02 2024