The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A085361

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A085361

Decimal expansion of the number c = Sum_{n>=1} (zeta(n+1)-1)/n.
(history; published version)

#52 by Andrey Zabolotskiy at Mon Jan 01 13:16:33 EST 2024

STATUS

editing

approved

#51 by Andrey Zabolotskiy at Mon Jan 01 13:16:26 EST 2024

NAME

Decimal expansion of the number c = Sum_{n>=1} (zeta(n+1)-1)/n).

STATUS

approved

editing

#50 by Michel Marcus at Sun Feb 06 02:55:03 EST 2022

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reviewed

approved

#49 by Joerg Arndt at Sun Feb 06 02:31:14 EST 2022

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proposed

reviewed

#48 by Amiram Eldar at Sun Feb 06 02:20:41 EST 2022

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editing

proposed

#47 by Amiram Eldar at Sun Feb 06 02:04:49 EST 2022

FORMULA

Equals -log(A242624). - Amiram Eldar, Feb 06 2022

PROG

(MAGMAMagma) SetDefaultRealField(RealField(120)); L:=RiemannZeta(); (&+[(Evaluate(L, n+1)-1)/n: n in [1..1000]]); // G. C. Greubel, Nov 15 2018

CROSSREFS

Cf. A002210, A085291, A242624, A244109, A245254.

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approved

editing

#46 by Joerg Arndt at Sun Jun 27 03:37:45 EDT 2021

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proposed

approved

#45 by Michel Marcus at Sun Jun 27 02:32:46 EDT 2021

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editing

proposed

#44 by Michel Marcus at Sun Jun 27 02:32:44 EDT 2021

FORMULA

c = Equals Sum_{n>=2} log(n/(n-1))/n = Sum_{n>=1, k>=2} 1/(n*k^(n+1)). [From Mathworld links]

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proposed

editing

#43 by Amiram Eldar at Sun Jun 27 02:27:13 EDT 2021

STATUS

editing

proposed