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A271170 Decimal expansion of the logarithm of the generalized Glaisher-Kinkelin constant A(3) (negated). 1
0, 2, 0, 6, 5, 6, 3, 5, 4, 1, 3, 5, 5, 5, 2, 0, 7, 8, 9, 2, 2, 1, 9, 4, 7, 5, 1, 9, 8, 8, 1, 9, 1, 6, 2, 0, 6, 7, 3, 4, 4, 2, 2, 1, 7, 5, 2, 0, 0, 7, 3, 2, 8, 4, 8, 3, 7, 2, 2, 4, 8, 0, 1, 0, 0, 1, 1, 0, 2, 2, 7, 9, 7, 7, 5, 7, 0, 1, 8, 4, 7, 3, 6, 3, 8, 7, 2, 8, 8, 1, 6, 4, 8, 6, 0, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The logarithm of the third Bendersky constant.

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..2000

FORMULA

Equals (Bernoulli(4)/4)*(EulerGamma + log(2*Pi) - (Zeta'(4)/Zeta(4))).

log(A(3)) = HarmonicNumber(3)*Bernoulli(4)/4 - Zeta'(-3).

EXAMPLE

-0.02065635413555207892219475198819162067344221752007...

MATHEMATICA

Join[{0}, RealDigits[(BernoulliB[4]/4)*(EulerGamma + Log[2*Pi] - Zeta'[4]/Zeta[4]), 10, 100] // First]

CROSSREFS

log(A(b)): A225746 (b=1), (-1) * A240966 (b=2).

Cf. A243263, A259068.

Sequence in context: A189961 A211241 A140247 * A111520 A326040 A145419

Adjacent sequences:  A271167 A271168 A271169 * A271171 A271172 A271173

KEYWORD

nonn,cons

AUTHOR

G. C. Greubel, Apr 01 2016

STATUS

approved

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Last modified October 22 03:04 EDT 2019. Contains 328315 sequences. (Running on oeis4.)