A271173 Decimal expansion of the logarithm of the generalized Glaisher-Kinkelin constant A(7) (negated).

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

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

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

Cf. A259072, A266554.

Sequence in context: A153042 A330595 A119824 * A242909 A259147 A178768

Adjacent sequences: A271170 A271171 A271172 * A271174 A271175 A271176

Keyword

nonn,cons

Author

G. C. Greubel, Apr 01 2016

Status

approved