A103350 - OEIS

A103350

Denominators of sum_{k=1..n} 1/k^8 = Zeta(8,n).

1, 256, 1679616, 429981696, 167961600000000, 167961600000000, 968265199641600000000, 247875891108249600000000, 1626313721561225625600000000, 1626313721561225625600000000

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OFFSET

1,2

COMMENTS

For the numerators, comments and a link reference see A103349.

LINKS

Table of n, a(n) for n=1..10.

MATHEMATICA

s=0; lst={}; Do[s+=n^1/n^9; AppendTo[lst, Denominator[s]], {n, 3*4!}]; lst (* Vladimir Joseph Stephan Orlovsky, Jan 24 2009 *)

Table[ HarmonicNumber[n, 8] // Denominator, {n, 1, 10}] (* Jean-François Alcover, Dec 04 2013 *)

CROSSREFS

Sequence in context: A013759 A283933 A016832 * A069447 A227606 A016880

Adjacent sequences: A103347 A103348 A103349 * A103351 A103352 A103353

KEYWORD

nonn,frac,easy

AUTHOR

Wolfdieter Lang, Feb 15 2005

STATUS

approved