A271170 Decimal expansion of the logarithm of the generalized Glaisher-Kinkelin constant A(3) (negated).

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

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