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%I #12 Jan 17 2015 23:15:02
%S 1,128,279936,35831808,2799360000000,933120000000,768464444160000000,
%T 98363448852480000000,645362587921121280000000,
%U 645362587921121280000000,12576291107821424895098880000000,12576291107821424895098880000000
%N Denominators of sum_{k=1..n} 1/k^7 = Zeta(7,n).
%C For the numerators, comments and a link reference see A103347.
%t s=0;lst={};Do[s+=n^1/n^8;AppendTo[lst,Denominator[s]],{n,3*4!}];lst (* _Vladimir Joseph Stephan Orlovsky_, Jan 24 2009 *)
%t Table[ HarmonicNumber[n, 7] // Denominator, {n, 1, 12}] (* _Jean-François Alcover_, Dec 04 2013 *)
%K nonn,frac,easy
%O 1,2
%A _Wolfdieter Lang_, Feb 15 2005