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 A103351 #13 Jan 17 2015 23:16:12 %S A103351 1,513,10097891,5170139875,10097934603139727,373997614931101, %T A103351 15092153145114981831307,7727182467755471289426059, %U A103351 4106541588424891370931874221019,4106541592523201949266162797531 %N A103351 Numerators of sum_{k=1..n} 1/k^9 = Zeta(9,n). %C A103351 a(n) gives the partial sums, Zeta(9,n), of Euler's Zeta(9). Zeta(k,n) is also called H(k,n) because for k=1 these are the harmonic numbers H(n) A001008/A002805. %C A103351 For the denominators see A103352 and for the rationals Zeta(9,n) see the W. Lang link under A103345. %F A103351 a(n) = numerator(sum_{k=1..n} 1/k^9). %F A103351 G.f. for rationals Zeta(9, n): polylogarithm(9, x)/(1-x). %t A103351 s=0;lst={};Do[s+=n^1/n^10;AppendTo[lst,Numerator[s]],{n,3*4!}];lst (* _Vladimir Joseph Stephan Orlovsky_, Jan 24 2009 *) %t A103351 Table[ HarmonicNumber[n, 9] // Numerator, {n, 1, 10}] (* _Jean-François Alcover_, Dec 04 2013 *) %Y A103351 For k=1..8 see: A001008/A002805, A007406/A007407, A007408/A007409, A007410/A007480, A099828/A069052, A103345/A103346, A103347/A103348, A103349/A103350. %K A103351 nonn,frac,easy %O A103351 1,2 %A A103351 _Wolfdieter Lang_, Feb 15 2005