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 A103346 #22 Jul 11 2020 02:32:33 %S A103346 1,64,46656,2985984,46656000000,46656000000,5489031744000000, %T A103346 351298031616000000,256096265048064000000,51219253009612800000, %U A103346 90738031080962661580800000,90738031080962661580800000 %N A103346 Denominators of Sum_{k=1..n} 1/k^6 = Zeta(6,n). %C A103346 For the numerators and comments, see A103345. %F A103346 a(n) = denominator(Sum_{k=1..n} 1/k^6) = denominator(A291456(n)/(n!)^6). - _Petros Hadjicostas_, May 10 2020 %e A103346 The first few fractions are 1, 65/64, 47449/46656, 3037465/2985984, 47463376609/46656000000, ... = A103345/A103346. - _Petros Hadjicostas_, May 10 2020 %t A103346 s=0; lst={}; Do[s+=n^1/n^7; AppendTo[lst,Denominator[s]],{n,3*4!}]; lst (* _Vladimir Joseph Stephan Orlovsky_, Jan 24 2009 *) %t A103346 Table[ HarmonicNumber[n, 6] // Denominator, {n, 1, 12}] (* _Jean-François Alcover_, Dec 04 2013 *) %Y A103346 Cf. A103345, A291456. %K A103346 nonn,frac,easy %O A103346 1,2 %A A103346 _Wolfdieter Lang_, Feb 15 2005