OFFSET
0,2
COMMENTS
The logarithm of the third Bendersky constant.
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..2000
FORMULA
Equals (Bernoulli(4)/4)*(EulerGamma + log(2*Pi) - (Zeta'(4)/Zeta(4))).
log(A(3)) = HarmonicNumber(3)*Bernoulli(4)/4 - Zeta'(-3).
EXAMPLE
-0.02065635413555207892219475198819162067344221752007...
MATHEMATICA
Join[{0}, RealDigits[(BernoulliB[4]/4)*(EulerGamma + Log[2*Pi] - Zeta'[4]/Zeta[4]), 10, 100] // First]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
G. C. Greubel, Apr 01 2016
STATUS
approved