OFFSET
0,1
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..10000
D. H. Lehmer, Euler constants for arithmetic progressions, Acta Arith. 27 (1975), p. 134.
FORMULA
Equals (2*EulerGamma + Pi + 2*log(2))/8.
Equals Sum_{n>=0} (1/(4n+1) - 1/2*arctanh(2/(4n+3))).
EXAMPLE
0.71028979306409369731376647579508261030406104249693294...
MATHEMATICA
RealDigits[EulerGamma/4 + Pi/8 + Log[2]/4, 10, 103] // First
PROG
(PARI) default(realprecision, 100); (2*Euler + Pi + 2*log(2))/8 \\ G. C. Greubel, Aug 27 2018
(Magma) R:=RealField(100); (2*EulerGamma(R) + Pi(R) + 2*Log(2))/8; // G. C. Greubel, Aug 27 2018
CROSSREFS
KEYWORD
AUTHOR
Jean-François Alcover, Apr 10 2015
STATUS
approved