A271178 Decimal expansion of the logarithm of the generalized Glaisher-Kinkelin constant A(17).

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

Offset

1,1

Comments

The logarithm of the seventeenth Bendersky constant.

Links

G. C. Greubel, Table of n, a(n) for n = 1..2001

Formula

log(A(17)) = (1/18)*HarmonicNumber(17)*Bernoulli(18) - RiemannZeta'(-17).

log(A(17)) = (Bernoulli(18)/18)*(EulerGamma + log(2*Pi) - Zeta'(18)/Zeta(18)).

Example

7.3755909885860989002266551801563660035951328874...

Mathematica

RealDigits[(BernoulliB[18]/18)*(EulerGamma + Log[2*Pi] - Zeta'[18]/Zeta[18]), 10, 100][[1]]

Crossrefs

Cf. A266272, A266564.

Sequence in context: A153624 A160578 A244258 * A247950 A256844 A346538

Adjacent sequences: A271175 A271176 A271177 * A271179 A271180 A271181

Keyword

nonn,cons

Author

G. C. Greubel, Apr 01 2016

Status

approved