OFFSET
0,2
REFERENCES
H. M. Srivastava and Junesang Choi, Zeta and q-Zeta Functions and Associated Series and Integrals, Elsevier Insights (2011) p. 272.
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..10000
Eric Weisstein's MathWorld, Riemann Zeta Function
Wikipedia, Riemann Zeta Function
FORMULA
Equals A001620/2 + (1/2)*log(Pi) - log(2).
Equals Sum_{k>=1} (1/(2*k) - log(1 + 1/(2*k))). - Amiram Eldar, Jul 22 2020
EXAMPLE
0.167825594815521207957737599259554003269226940067362331039...
MATHEMATICA
RealDigits[EulerGamma/2 + (1/2)*Log[Pi] - Log[2], 10, 105] // First
PROG
(PARI) Euler/2 + log(Pi)/2 - log(2) \\ Michel Marcus, Apr 13 2015
(Magma) SetDefaultRealField(RealField(100)); R:= RealField(); EulerGamma(R)/2 + (1/2)*Log(Pi(R)) - Log(2); // G. C. Greubel, Sep 05 2018
CROSSREFS
KEYWORD
AUTHOR
Jean-François Alcover, Apr 13 2015
STATUS
approved