A103352 Denominators of sum_{k=1..n} 1/k^9 = Zeta(9,n).

1, 512, 10077696, 5159780352, 10077696000000000, 373248000000000, 15061903105536000000000, 7711694390034432000000000, 4098310578334288576512000000000, 4098310578334288576512000000000

Offset: 1

Author

Wolfdieter Lang, Feb 15 2005

Keywords

• nonn
• frac
• easy

Comments

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

Programs

Mathematica

s=0;lst={};Do[s+=n^1/n^10;AppendTo[lst,Denominator[s]],{n,3*4!}];lst (* Vladimir Joseph Stephan Orlovsky, Jan 24 2009 *)
Table[ HarmonicNumber[n, 9] // Denominator, {n, 1, 10}] (* Jean-François Alcover, Dec 04 2013 *)