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A271172
Decimal expansion of the logarithm of the generalized Glaisher-Kinkelin constant A(5).
1
0, 0, 9, 6, 3, 3, 8, 3, 2, 5, 4, 1, 0, 4, 5, 1, 9, 6, 0, 5, 1, 5, 5, 1, 8, 4, 0, 7, 0, 9, 6, 8, 0, 4, 3, 5, 3, 5, 9, 8, 1, 4, 8, 3, 3, 8, 5, 2, 0, 4, 6, 0, 8, 2, 0, 6, 4, 3, 8, 1, 6, 3, 8, 4, 4, 1, 8, 4, 4, 2, 9, 5, 8, 7, 7, 9, 1, 1, 6, 7, 7, 8, 1, 8, 7, 1, 1, 9, 6, 0, 1, 8, 8, 9, 4, 6
OFFSET
0,3
COMMENTS
The logarithm of the fifth Bendersky constant.
LINKS
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
Sequence in context: A175616 A200232 A198997 * A019683 A020759 A226582
KEYWORD
nonn,cons
AUTHOR
G. C. Greubel, Apr 01 2016
STATUS
approved