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A017704 Denominator of sum of -20th powers of divisors of n. 3
1, 1048576, 3486784401, 1099511627776, 95367431640625, 1828079220031488, 79792266297612001, 1152921504606846976, 12157665459056928801, 50000000000000000000, 672749994932560009201, 638959998741245853696 (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

Denominator[DivisorSigma[-20, Range[20]]] (* Harvey P. Dale, Dec 31 2014 *)

Table[Denominator[DivisorSigma[20, n]/n^20], {n, 1, 20}] (* G. C. Greubel, Nov 05 2018 *)

PROG

(PARI) vector(20, n, denominator(sigma(n, 20)/n^20)) \\ G. C. Greubel, Nov 05 2018

(MAGMA) [Denominator(DivisorSigma(20, n)/n^20): n in [1..20]]; // G. C. Greubel, Nov 05 2018

CROSSREFS

Cf. A017703.

Sequence in context: A016786 A016810 A016906 * A010808 A016966 A017038

Adjacent sequences:  A017701 A017702 A017703 * A017705 A017706 A017707

KEYWORD

nonn,frac

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified April 5 12:34 EDT 2020. Contains 333241 sequences. (Running on oeis4.)