OFFSET
0,3
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..10000
H. M. Srivastava and Junesang Choi, Zeta and q-Zeta Functions and Associated Series and Integrals, Elsevier Insights, 2011, pp. 272 and 314.
Eric Weisstein's MathWorld, Riemann Zeta Function.
Wikipedia, Riemann Zeta Function.
FORMULA
Equals log(2) - EulerGamma.
Equals Sum_{k>=1} (zeta(2*k+1)-1)/(k+1). - Amiram Eldar, May 24 2021
Equals Sum_{k>=1} psi(k)/2^k, where psi(x) is the digamma function. - Amiram Eldar, Sep 12 2022
EXAMPLE
0.1159315156584124488107200313757741370333407984203316553149...
MATHEMATICA
RealDigits[Log[2] - EulerGamma, 10, 105] // First
PROG
(PARI) default(realprecision, 100); log(2) - Euler \\ G. C. Greubel, Sep 06 2018
(Magma) SetDefaultRealField(RealField(100)); R:= RealField(); Log(2) - EulerGamma(R); // G. C. Greubel, Sep 06 2018
CROSSREFS
KEYWORD
AUTHOR
Jean-François Alcover, Apr 13 2015
STATUS
approved