The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A112932 Denominator of rational values arising in an asymptotic formula for 1/(zeta(s)-1) as s-->infinity. 2
 1, 3, 1, 9, 5, 3, 27, 7, 15, 9, 5, 81, 21, 11, 45, 25, 13, 27, 7, 15, 243, 63, 33, 135, 17, 35, 9, 75, 19, 39, 81, 21, 11, 45, 729, 23, 189, 49, 99, 25, 405, 51, 13, 105, 27, 55, 225, 57, 29, 117, 15, 243, 31, 125, 63, 65, 33, 135 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..57. Andrei Vieru, Euler constant as a renormalized value of Riemann zeta function at its pole. Rationals related to Dirichlet L-functions, arXiv:1306.0496 [math.GM], 2015. EXAMPLE 1/(zeta(s)-1)=2^s-(4/3)^s-1+(8/9)^s-(4/5)^s+(2/3)^s-(16/27)^s-(4/7)^s+2*(8/15)^s-2*(4/9)^s+(2/5)^s+(32/81)^s+2*(8/21)^s-(4/11)^s-3*(16/45)^s+o((16/45)^x) and here sequence consists of denominators of 2/1,4/3,1/1,8/9,4/5,... MATHEMATICA nmax = 20; lz = ConstantArray[0, nmax]; ax = 0; Do[le = Exp[Limit[Log[Abs[(1/(Zeta[x] - 1) - ax)]]/x, x -> Infinity]]; ls = Limit[(1/(Zeta[x] - 1) - ax)/le^x, x -> Infinity]; ax = ax + ls*le^x; lz[[j]] = le; , {j, 1, nmax}]; Denominator[lz] (* Vaclav Kotesovec, Aug 11 2019 *) CROSSREFS Cf. A112931, A112933. Sequence in context: A050155 A270236 A140714 * A337680 A077895 A105539 Adjacent sequences: A112929 A112930 A112931 * A112933 A112934 A112935 KEYWORD frac,more,nonn AUTHOR Benoit Cloitre, Oct 06 2005 EXTENSIONS a(15)-a(33) computed by Andrei Vieru, added by Vaclav Kotesovec, Aug 11 2019 Terms a(34) and beyond from Vaclav Kotesovec, Aug 11 2019 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 May 23 05:59 EDT 2024. Contains 372758 sequences. (Running on oeis4.)