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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: A090124 A097943 A241420 * A156057 A125057 A021186

Adjacent sequences:  A077139 A077140 A077141 * A077143 A077144 A077145

KEYWORD

cons,nonn

AUTHOR

Benoit Cloitre, Nov 29 2002

STATUS

approved

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Last modified January 20 04:21 EST 2019. Contains 319323 sequences. (Running on oeis4.)