OFFSET
0,2
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..10000
H. M. Srivasata, M. L. Glasser, Victor S. Adamchik, Some Definite Integrals Associated with the Riemann Zeta Function
FORMULA
Equals G/(3*Pi) - log(2)/4, where G is Catalan's constant.
EXAMPLE
-0.0760998271297134006415132115417458357308529822614513901...
MATHEMATICA
Join[{0}, RealDigits[Catalan/(3 Pi) - Log[2]/4, 10, 102] // First]
PROG
(PARI) suminf(k=0, (zeta(2*k)/(2*k+1))*(3/4)^(2*k)) \\ Michel Marcus, Mar 23 2015
(PARI) default(realprecision, 100); Catalan/(3*Pi) - log(2)/4 \\ G. C. Greubel, Aug 25 2018
(Magma) SetDefaultRealField(RealField(100)); R:=RealField(); Catalan(R)/(3*Pi(R)) - Log(2)/4; // G. C. Greubel, Aug 25 2018
CROSSREFS
KEYWORD
AUTHOR
Jean-François Alcover, Mar 23 2015
STATUS
approved