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A271174
Decimal expansion of the logarithm of the generalized Glaisher-Kinkelin constant A(9).
1
0, 1, 8, 3, 0, 1, 4, 3, 2, 3, 6, 1, 7, 8, 9, 1, 0, 8, 8, 2, 2, 7, 5, 5, 8, 0, 9, 3, 9, 0, 7, 9, 2, 2, 3, 4, 8, 7, 5, 0, 1, 2, 2, 1, 1, 8, 1, 6, 0, 9, 6, 1, 6, 5, 6, 1, 2, 7, 7, 6, 4, 4, 4, 4, 7, 6, 1, 4, 2, 9, 6, 5, 2, 7, 6, 2, 5, 1, 9, 3, 4, 1, 8, 7, 2, 6, 8, 1, 6, 8, 9, 0, 0, 4, 8, 7
OFFSET
0,3
COMMENTS
The logarithm of the ninth Bendersky constant.
LINKS
FORMULA
log(A(9)) = (1/10)*HarmonicNumber(9)*Bernoulli(10) - RiemannZeta'(-9).
log(A(9)) = (Bernoulli(10)/10)*(EulerGamma + log(2*Pi) - Zeta'(10)/Zeta(10).
EXAMPLE
0.01830143236178910882275580939079223...
MATHEMATICA
Join[{0}, RealDigits[(BernoulliB[10]/10)*(EulerGamma + Log[2*Pi] - Zeta'[10]/Zeta[10]), 10, 100] // First]
CROSSREFS
Sequence in context: A281068 A093082 A107671 * A216891 A349454 A256783
KEYWORD
nonn,cons
AUTHOR
G. C. Greubel, Apr 01 2016
STATUS
approved