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A271173
Decimal expansion of the logarithm of the generalized Glaisher-Kinkelin constant A(7) (negated).
1
0, 1, 0, 0, 7, 4, 9, 2, 8, 7, 4, 8, 4, 1, 2, 1, 8, 7, 9, 1, 8, 9, 6, 1, 3, 3, 8, 0, 7, 3, 9, 2, 1, 0, 6, 7, 9, 5, 9, 5, 2, 5, 6, 8, 3, 7, 0, 7, 6, 4, 6, 0, 1, 0, 2, 5, 2, 7, 9, 2, 1, 8, 5, 2, 7, 4, 4, 2, 8, 8, 3, 1, 0, 2, 5, 9, 0, 1, 2, 6, 1, 5, 1, 5, 5, 4, 8, 1, 8, 2, 1, 2, 9, 7, 4, 8
OFFSET
0,5
COMMENTS
The logarithm of the seventh Bendersky constant.
LINKS
FORMULA
log(A(7)) = (1/8)*HarmonicNumber(7)*Bernoulli(8) - RiemannZeta'(-7).
log(A(7)) = (Bernoulli(8)/8)*(EulerGamma + log(2*Pi) - Zeta'(8)/Zeta(8)).
EXAMPLE
-0.010074928748412187918961338073921...
MATHEMATICA
Join[{0}, RealDigits[(BernoulliB[8]/8)*(EulerGamma + Log[2*Pi] - Zeta'[8]/Zeta[8]), 10, 100] // First]
CROSSREFS
Sequence in context: A153042 A330595 A119824 * A242909 A259147 A178768
KEYWORD
nonn,cons
AUTHOR
G. C. Greubel, Apr 01 2016
STATUS
approved