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A271178 Decimal expansion of the logarithm of the generalized Glaisher-Kinkelin constant A(17). 1
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 (list; constant; graph; refs; listen; history; text; internal format)
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 A166201

Adjacent sequences:  A271175 A271176 A271177 * A271179 A271180 A271181

KEYWORD

nonn,cons

AUTHOR

G. C. Greubel, Apr 01 2016

STATUS

approved

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Last modified August 25 02:56 EDT 2019. Contains 326318 sequences. (Running on oeis4.)