login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A188157 Decimal expansion of the integral of the logarithm of the Riemann zeta function from 1 to infinity. 1
1, 7, 9, 7, 5, 6, 9, 9, 5, 8, 6, 2, 8, 7, 3, 9, 4, 0, 7, 9, 3, 0, 2, 5, 0, 7, 8, 2, 1, 2, 1, 5, 3, 1, 6, 5, 8, 6, 4, 6, 0, 5, 1, 8, 3, 0, 7, 5, 7, 0, 8, 7, 1, 6, 7, 9, 8, 2, 0, 3, 4, 8, 4, 8, 3, 1, 5, 5, 4, 1, 7, 0, 5, 1, 9, 8, 6, 6, 1, 0, 6, 6, 7, 9, 1, 3, 0, 5, 9, 6, 8, 9, 1, 5, 5, 2, 6, 1, 3, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..100.

H. Cohen, High-precision calculation of Hardy-Littlewood constants, 1998, variable I(1).

R. J. Mathar, Twenty digits of some integrals of the prime zeta function, arXiv:0811.4739, table in Section 2.4.

EXAMPLE

Equals 1.79756995862873940793025078... = Integral_{s=1..infinity} log zeta(s) ds.

MATHEMATICA

RealDigits[ NIntegrate[ Log[ Zeta[x]], {x, 1, Infinity}, WorkingPrecision -> 100, AccuracyGoal -> 100]][[1]] (* Jean-Fran├žois Alcover, Nov 08 2012 *)

CROSSREFS

Sequence in context: A248674 A108743 A177271 * A135000 A257239 A199742

Adjacent sequences:  A188154 A188155 A188156 * A188158 A188159 A188160

KEYWORD

cons,nonn

AUTHOR

R. J. Mathar, Mar 26 2011

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 22 05:11 EST 2019. Contains 319353 sequences. (Running on oeis4.)