The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A017692 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A017692

Denominator of sum of -14th powers of divisors of n.
(history; published version)

#12 by Charles R Greathouse IV at Thu Sep 08 08:44:43 EDT 2022

PROG

(MAGMAMagma) [Denominator(DivisorSigma(14, n)/n^14): n in [1..20]]; // G. C. Greubel, Nov 06 2018

Discussion

Thu Sep 08

08:44

OEIS Server: https://oeis.org/edit/global/2944

#11 by Bruno Berselli at Wed Nov 07 03:52:19 EST 2018

STATUS

reviewed

approved

#10 by Michel Marcus at Wed Nov 07 00:53:51 EST 2018

STATUS

proposed

reviewed

#9 by G. C. Greubel at Tue Nov 06 22:45:14 EST 2018

STATUS

editing

proposed

#8 by G. C. Greubel at Tue Nov 06 22:45:06 EST 2018

LINKS

G. C. Greubel, <a href="/A017692/b017692.txt">Table of n, a(n) for n = 1..10000</a>

MATHEMATICA

Table[Denominator[DivisorSigma[14, n]/n^14], {n, 1, 20}] (* G. C. Greubel, Nov 06 2018 *)

PROG

(PARI) vector(20, n, denominator(sigma(n, 14)/n^14)) \\ G. C. Greubel, Nov 06 2018

(MAGMA) [Denominator(DivisorSigma(14, n)/n^14): n in [1..20]]; // G. C. Greubel, Nov 06 2018

STATUS

approved

editing

#7 by Jon E. Schoenfield at Fri Mar 13 18:35:39 EDT 2015

STATUS

editing

approved

#6 by Jon E. Schoenfield at Fri Mar 13 18:35:37 EDT 2015

NAME

Denominator of sum of -14 th 14th powers of divisors of n.

COMMENTS

Sum_{d|n} 1/d^k is equal to sigma_k(n)/n^k. So sequences A017665-A017712 also give the numerators and denominators of sigma_k(n)/n^k for k = 1..24. The power sums sigma_k(n) are in sequences A000203 (k=1), A001157-A001160 (k=2,3,4,5), A013954-A013972 for k = 6,7,...,24. - comment from Ahmed Fares (ahmedfares(AT)my-deja.com), Apr 05 2001.

AUTHOR

N. J. A. Sloane.

STATUS

approved

editing

#5 by Russ Cox at Fri Mar 30 16:46:19 EDT 2012

AUTHOR

_N. J. A. Sloane (njas(AT)research.att.com)_.

Discussion

Fri Mar 30

16:46

OEIS Server: https://oeis.org/edit/global/110

#4 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009

KEYWORD

nonn,frac,new

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

#3 by N. J. A. Sloane at Fri May 16 03:00:00 EDT 2003

COMMENTS

KEYWORD

nonn,frac,new