login
A271175
Decimal expansion of the logarithm of the generalized Glaisher-Kinkelin constant A(11) (negated).
1
0, 5, 0, 9, 4, 4, 6, 7, 2, 5, 8, 0, 7, 8, 5, 6, 4, 2, 7, 3, 4, 0, 1, 4, 4, 1, 7, 2, 8, 6, 3, 1, 2, 2, 1, 4, 9, 7, 7, 0, 1, 2, 2, 9, 1, 4, 3, 9, 4, 4, 9, 4, 3, 4, 6, 2, 5, 7, 1, 9, 1, 4, 7, 5, 4, 2, 4, 6, 8, 7, 3, 9, 3, 8, 4, 0, 5, 8, 5, 5, 2, 5, 0, 8, 8, 4, 6, 9, 6, 2, 4, 4, 8, 0, 1, 1
OFFSET
0,2
COMMENTS
The logarithm of the eleventh Bendersky constant.
LINKS
FORMULA
log(A(11)) = (1/12)*HarmonicNumber(11)*Bernoulli(12) - RiemannZeta'(-11).
log(A(11)) = (Bernoulli(12)/12)*(EulerGamma + log(2*Pi) - Zeta'(12)/Zeta(12)).
EXAMPLE
-0.050944672580785642734014417286312...
MATHEMATICA
Join[{0}, RealDigits[(BernoulliB[12]/12)*(EulerGamma + Log[2*Pi] - Zeta'[12]/Zeta[12]), 10, 100] // First]
CROSSREFS
Sequence in context: A132706 A199184 A159692 * A367740 A196769 A019925
KEYWORD
nonn,cons
AUTHOR
G. C. Greubel, Apr 01 2016
STATUS
approved