login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

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 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A077142 Decimal expansion of b = log(2*Pi)-1-Gamma/2. 1
5, 4, 9, 2, 6, 9, 2, 3, 3, 9, 5, 8, 5, 7, 9, 0, 5, 3, 2, 5, 7, 4, 0, 3, 4, 2, 7, 7, 7, 0, 0, 3, 4, 0, 6, 4, 2, 0, 1, 7, 1, 5, 2, 7, 9, 3, 0, 5, 6, 0, 5, 0, 2, 6, 2, 3, 1, 4, 1, 9, 4, 6, 3, 5, 2, 3, 0, 9, 7, 5, 2, 8, 4, 6, 5, 6, 8, 8, 4, 5, 9, 9, 2, 1, 0, 1, 3, 0, 6, 5, 6, 2, 6, 0, 3, 5, 0, 2, 0, 4, 8, 6, 6, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Arises in the Riemann zeta function's expression (Hadamard product) : zeta(s)=exp(b*s)/(2(s-1)GAMMA(s/2+1))*prod( r, (1-s/r)^exp(s/r)) where r runs through the zeros.

LINKS

Table of n, a(n) for n=0..103.

Eric Weisstein's World of Mathematics, Hadamard Product

Index entries for zeta function.

FORMULA

b = 0.54926923395857905325740342777003406420171527930560...

MATHEMATICA

RealDigits[Log[2Pi]-1-EulerGamma/2, 10, 120][[1]] (* Harvey P. Dale, Nov 05 2011 *)

PROG

(PARI) log(2*Pi)-1-Euler/2 \\ Charles R Greathouse IV, Mar 10 2016

CROSSREFS

Sequence in context: A338346 A097943 A241420 * A156057 A125057 A021186

Adjacent sequences:  A077139 A077140 A077141 * A077143 A077144 A077145

KEYWORD

cons,nonn

AUTHOR

Benoit Cloitre, Nov 29 2002

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 December 5 06:52 EST 2021. Contains 349543 sequences. (Running on oeis4.)