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A017695 Numerator of sum of -16th powers of divisors of n. 3
1, 65537, 43046722, 4295032833, 152587890626, 1410576509857, 33232930569602, 281479271743489, 1853020231898563, 5000076293978081, 45949729863572162, 30814514057170571, 665416609183179842 (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[Total[1/Divisors[n]^16]], {n, 20}] (* Harvey P. Dale, Sep 26 2014 *)

Table[Numerator[DivisorSigma[16, n]/n^16], {n, 1, 20}] (* G. C. Greubel, Nov 05 2018 *)

PROG

(PARI) vector(20, n, numerator(sigma(n, 16)/n^16)) \\ G. C. Greubel, Nov 05 2018

(MAGMA) [Numerator(DivisorSigma(16, n)/n^16): n in [1..20]]; // G. C. Greubel, Nov 05 2018

CROSSREFS

Cf. A017696.

Sequence in context: A123388 A070816 A133864 * A013964 A036094 A133865

Adjacent sequences:  A017692 A017693 A017694 * A017696 A017697 A017698

KEYWORD

nonn,frac

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified May 29 10:05 EDT 2020. Contains 334699 sequences. (Running on oeis4.)