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.
%I A017676 #22 Sep 08 2022 08:44:43 %S A017676 1,64,729,4096,15625,23328,117649,262144,531441,100000,1771561,497664, %T A017676 4826809,3764768,2278125,16777216,24137569,34012224,47045881,32000000, %U A017676 85766121,56689952,148035889,95551488,244140625,11881376,387420489,240945152,594823321 %N A017676 Denominator of sum of -6th powers of divisors of n. %C A017676 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 A017676 G. C. Greubel, <a href="/A017676/b017676.txt">Table of n, a(n) for n = 1..10000</a> %F A017676 Denominators of coefficients in expansion of Sum_{k>=1} x^k/(k^6*(1 - x^k)). - _Ilya Gutkovskiy_, May 25 2018 %e A017676 1, 65/64, 730/729, 4161/4096, 15626/15625, 23725/23328, 117650/117649, 266305/262144, ... %t A017676 A017676[n_Integer] := Denominator[DivisorSigma[-6, n]]; A017676 /@ Range[100] (* _Vladimir Joseph Stephan Orlovsky_, Jul 22 2011 *) %t A017676 Table[Denominator[DivisorSigma[6, n]/n^6], {n, 1, 20}] (* _G. C. Greubel_, Nov 07 2018 *) %o A017676 (PARI) vector(20, n, denominator(sigma(n, 6)/n^6)) \\ _G. C. Greubel_, Nov 07 2018 %o A017676 (Magma) [Denominator(DivisorSigma(6,n)/n^6): n in [1..20]]; // _G. C. Greubel_, Nov 07 2018 %Y A017676 Cf. A017675. %K A017676 nonn,frac %O A017676 1,2 %A A017676 _N. J. A. Sloane_