A271179 Decimal expansion of the logarithm of the generalized Glaisher-Kinkelin constant A(19) (negated).

6, 3, 8, 9, 4, 2, 2, 3, 0, 8, 8, 8, 3, 7, 2, 6, 0, 5, 2, 2, 0, 9, 7, 2, 8, 6, 3, 5, 2, 9, 0, 1, 9, 3, 4, 7, 3, 3, 7, 9, 2, 0, 4, 8, 5, 3, 5, 7, 1, 2, 9, 7, 7, 0, 2, 6, 9, 3, 0, 7, 0, 2, 4, 4, 1, 8, 6, 3, 4, 2, 3, 0, 5, 1, 1, 7, 4, 8, 4, 3, 0, 2, 2, 4, 0, 6, 4, 8, 2, 1, 4, 6, 6, 9, 4, 6

Offset

2,1

Comments

The logarithm of the nineteenth Bendersky constant.

Links

G. C. Greubel, Table of n, a(n) for n = 2..2003

Formula

log(A(19)) = (1/20)*HarmonicNumber(19)*Bernoulli(20) - RiemannZeta'(-19).

log(A(19)) = (Bernoulli(20)/20)*(EulerGamma + log(2*Pi) - Zeta'(20)/Zeta(20)).

Example

-63.894223088837260522097286352901934733...

Mathematica

RealDigits[(BernoulliB[20]/20)*(EulerGamma + Log[2*Pi] - Zeta'[20]/Zeta[20]), 10, 100][[1]]

Crossrefs

Cf. A266566, A266274.

Sequence in context: A306774 A301429 A198836 * A220085 A242013 A242962

Adjacent sequences: A271176 A271177 A271178 * A271180 A271181 A271182

Keyword

nonn,cons

Author

G. C. Greubel, Apr 01 2016

Status

approved