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A103346 Denominators of Sum_{k=1..n} 1/k^6 = Zeta(6,n). 8
1, 64, 46656, 2985984, 46656000000, 46656000000, 5489031744000000, 351298031616000000, 256096265048064000000, 51219253009612800000, 90738031080962661580800000, 90738031080962661580800000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

For the numerators and comments, see A103345.

LINKS

Table of n, a(n) for n=1..12.

FORMULA

a(n) = denominator(Sum_{k=1..n} 1/k^6) = denominator(A291456(n)/(n!)^6). - Petros Hadjicostas, May 10 2020

EXAMPLE

The first few fractions are 1, 65/64, 47449/46656, 3037465/2985984, 47463376609/46656000000, ... = A103345/A103346. - Petros Hadjicostas, May 10 2020

MATHEMATICA

s=0; lst={}; Do[s+=n^1/n^7; AppendTo[lst, Denominator[s]], {n, 3*4!}]; lst (* Vladimir Joseph Stephan Orlovsky, Jan 24 2009 *)

Table[ HarmonicNumber[n, 6] // Denominator, {n, 1, 12}] (* Jean-Fran├žois Alcover, Dec 04 2013 *)

CROSSREFS

Cf. A103345, A291456.

Sequence in context: A016830 A249076 A334605 * A123394 A069445 A227604

Adjacent sequences:  A103343 A103344 A103345 * A103347 A103348 A103349

KEYWORD

nonn,frac,easy

AUTHOR

Wolfdieter Lang, Feb 15 2005

STATUS

approved

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Last modified August 12 02:46 EDT 2020. Contains 336436 sequences. (Running on oeis4.)