cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A017686 Denominator of sum of -11th powers of divisors of n.

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%I A017686 #16 Sep 08 2022 08:44:43
%S A017686 1,2048,177147,4194304,48828125,30233088,1977326743,8589934592,
%T A017686 31381059609,50000000000,285311670611,185752092672,1792160394037,
%U A017686 506195646208,2883251953125,17592186044416,34271896307633
%N A017686 Denominator of sum of -11th powers of divisors of n.
%C A017686 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
%H A017686 Harvey P. Dale, <a href="/A017686/b017686.txt">Table of n, a(n) for n = 1..1000</a>
%t A017686 Denominator[DivisorSigma[-11,Range[20]]] (* _Harvey P. Dale_, Dec 18 2012 *)
%o A017686 (PARI) vector(20, n, denominator(sigma(n, 11)/n^11)) \\ _G. C. Greubel_, Nov 06 2018
%o A017686 (Magma) [Denominator(DivisorSigma(11,n)/n^11): n in [1..20]]; // _G. C. Greubel_, Nov 06 2018
%Y A017686 Cf. A017685.
%K A017686 nonn,frac
%O A017686 1,2
%A A017686 _N. J. A. Sloane_