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A017711 Numerator of sum of -24th powers of divisors of n. 3
1, 16777217, 282429536482, 281474993487873, 59604644775390626, 2369190810383965297, 191581231380566414402, 4722366764344638701569, 79766443077154939399843, 500000029802322396083921, 9849732675807611094711842 (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..1000

FORMULA

Dirichlet g.f.: zeta(s)*zeta(s+24) (for fraction A017711/A017712). - Franklin T. Adams-Watters, Sep 11 2005

MATHEMATICA

Table[Numerator[DivisorSigma[24, n]/n^24], {n, 1, 20}] (* G. C. Greubel, Nov 03 2018 *)

PROG

(PARI) a(n) = numerator(sigma(n, 24)/n^24); \\ Michel Marcus, Nov 01 2013

(MAGMA) [Numerator(DivisorSigma(24, n)/n^24): n in [1..20]]; // G. C. Greubel, Nov 03 2018

CROSSREFS

Cf. A017712.

Sequence in context: A017328 A017448 A017580 * A013972 A036102 A230636

Adjacent sequences:  A017708 A017709 A017710 * A017712 A017713 A017714

KEYWORD

nonn,frac

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified December 14 01:15 EST 2019. Contains 329977 sequences. (Running on oeis4.)