The OEIS is supported by the many generous donors to the OEIS Foundation.

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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 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-François 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 8 06:47 EST 2022. Contains 358673 sequences. (Running on oeis4.)