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A017691 Numerator of sum of -14th powers of divisors of n. 3
1, 16385, 4782970, 268451841, 6103515626, 39184481725, 678223072850, 4398314962945, 22876797237931, 10000610353201, 379749833583242, 213999516991295, 3937376385699290, 5556342524323625, 5838586426737844 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

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. - Ahmed Fares (ahmedfares(AT)my-deja.com), Apr 05 2001

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..10000

MATHEMATICA

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

PROG

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

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

CROSSREFS

Cf. A017692.

Sequence in context: A185566 A160868 A230635 * A013962 A036092 A282597

Adjacent sequences:  A017688 A017689 A017690 * A017692 A017693 A017694

KEYWORD

nonn,frac

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified June 7 02:48 EDT 2020. Contains 334836 sequences. (Running on oeis4.)