OFFSET
0,3
COMMENTS
The logarithm of the fifth Bendersky constant.
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..2000
FORMULA
log(A(5)) = (1/6)*HarmonicNumber(5)*Bernoulli(6) - RiemannZeta'(-5).
log(A(5)) = (BernoulliB(6)/6)*(EulerGamma + log(2*Pi) - Zeta'(6)/Zeta(6)).
EXAMPLE
0.009633832541045196051551840709680435359814...
MATHEMATICA
Join[{0, 0}, RealDigits[(BernoulliB[6]/6)*(EulerGamma + Log[2*Pi] - Zeta'[6]/Zeta[6]), 10, 100] // First]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
G. C. Greubel, Apr 01 2016
STATUS
approved