login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

Denominators of sum_{k=1..n} 1/k^9 = Zeta(9,n).
3

%I #11 Jan 17 2015 23:21:31

%S 1,512,10077696,5159780352,10077696000000000,373248000000000,

%T 15061903105536000000000,7711694390034432000000000,

%U 4098310578334288576512000000000,4098310578334288576512000000000

%N Denominators of sum_{k=1..n} 1/k^9 = Zeta(9,n).

%C For the numerators, comments and a link reference see A103351.

%t s=0;lst={};Do[s+=n^1/n^10;AppendTo[lst,Denominator[s]],{n,3*4!}];lst (* _Vladimir Joseph Stephan Orlovsky_, Jan 24 2009 *)

%t Table[ HarmonicNumber[n, 9] // Denominator, {n, 1, 10}] (* _Jean-François Alcover_, Dec 04 2013 *)

%K nonn,frac,easy

%O 1,2

%A _Wolfdieter Lang_, Feb 15 2005