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Denominators of sum_{k=1..n} 1/k^10 =: Zeta(10,n).
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Denominators of sum(_{k=1..n} 1/k^10,k=1..n) =: Zeta(10,n).
s=0; lst={}; Do[s+=n^1/n^11; AppendTo[lst, Denominator[s]], {n, 3*4!}]; lst [From _(* _Vladimir Joseph Stephan Orlovsky_, Jan 24 2009] *)
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Table[ HarmonicNumber[n, 10] // Denominator, {n, 1, 10}] (* Jean-François Alcover, Dec 04 2013 *)
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Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Feb 15 2005
Wolfdieter Lang, Feb 15 2005
s=0; lst={}; Do[s+=n^1/n^11; AppendTo[lst, Denominator[s]], {n, 3*4!}]; lst [From _Vladimir Joseph Stephan Orlovsky (4vladimir(AT)gmail.com), _, Jan 24 2009]