The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A136677 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A136677

Numerator of Sum_{k=1..n} (-1)^(k+1)/k^6.
(history; published version)

#32 by OEIS Server at Mon Aug 21 11:55:41 EDT 2023

LINKS

Harvey P. Dale, <a href="/A136677/b136677_1.txt">Table of n, a(n) for n = 1..382</a>

#31 by Harvey P. Dale at Mon Aug 21 11:55:41 EDT 2023

STATUS

editing

approved

Discussion

Mon Aug 21

11:55

OEIS Server: Installed first b-file as b136677.txt.

#30 by Harvey P. Dale at Mon Aug 21 11:55:38 EDT 2023

LINKS

Harvey P. Dale, <a href="/A136677/b136677_1.txt">Table of n, a(n) for n = 1..382</a>

STATUS

approved

editing

#29 by Harvey P. Dale at Mon Aug 21 11:53:37 EDT 2023

STATUS

editing

approved

#28 by Harvey P. Dale at Mon Aug 21 11:53:34 EDT 2023

MATHEMATICA

Accumulate[Table[(-1)^(k+1)/k^6, {k, 20}]]//Numerator (* Harvey P. Dale, Aug 21 2023 *)

STATUS

approved

editing

#27 by Peter Luschny at Mon Jun 07 01:15:26 EDT 2021

STATUS

proposed

approved

#26 by Hugo Pfoertner at Sun Jun 06 15:59:46 EDT 2021

STATUS

editing

proposed

#25 by Hugo Pfoertner at Sun Jun 06 15:59:01 EDT 2021

EXAMPLE

The first few fractions are 1, 63/64, 45991/46656, 2942695/2985984, 45982595359/46656000000, 5109066151/5184000000, ... = A136677a(n)/A334605(n). - Petros Hadjicostas, May 07 2020

STATUS

proposed

editing

Discussion

Sun Jun 06

15:59

Hugo Pfoertner: Avoid self-reference in example.

#24 by Jon E. Schoenfield at Sun Jun 06 12:54:06 EDT 2021

STATUS

editing

proposed

#23 by Jon E. Schoenfield at Sun Jun 06 12:54:04 EDT 2021

COMMENTS

p divides a(p-1) for prime p > 2. a(n) is prime for n = {19, 47, 164, ...} = A136686.

EXAMPLE

The first few fractions are: 1, 63/64, 45991/46656, 2942695/2985984, 45982595359/46656000000, 5109066151/5184000000, ... = A136677/A334605. - Petros Hadjicostas, May 07 2020

STATUS

approved

editing