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

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A082632 Decimal expansion of lim_{y->infinity} y^2*(Re(zeta(1 + i/y)) - gamma). 0

%I #22 Feb 18 2021 13:04:25

%S 0,0,4,8,4,5,1,8,1,5,9,6,4,3,6,1,5,9,2,4,2,2,6,5,1,9,3,0,1,7,6,0,6,2,

%T 6,4,6,7,9,5,3,2,9,0,3,0,5,0,6,7,0,3,7,4,9,4,0,3,5,0,6,8,2,7,2,5,9,2,

%U 5,3,7,7,6,9,1,1,4,0,2,0,7,0,8,5,9,8,9,0,9,8,6,9,0,6,8,7,2,6,8,6,5,9,6,4,3

%N Decimal expansion of lim_{y->infinity} y^2*(Re(zeta(1 + i/y)) - gamma).

%C Lim_{y->infinity} Im(zeta(1 + i/y))/y = -1. - _Vaclav Kotesovec_, Feb 18 2021

%F Equals lim_{y->infinity} y^2*(Re(zeta(1+i/y)) - gamma), where gamma is the Euler-Mascheroni constant A001620.

%F Equals A086279 / 2. - _R. J. Mathar_, Jul 15 2010

%e 0.00484518159643615924226519301760626...

%t StieltjesGamma[2]/2 // RealDigits[#, 10, 103]& // First // Join[{0, 0}, #]& (* _Jean-François Alcover_, Mar 04 2013 *)

%Y Cf. A086279.

%K cons,nonn

%O 0,3

%A _Benoit Cloitre_, May 24 2003

%E More terms from _Jean-François Alcover_, Mar 04 2013

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)