A271177 Decimal expansion of the logarithm of the generalized Glaisher-Kinkelin constant A(15) (negated).

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

Offset

1,3

Comments

The logarithm of the fifteenth Bendersky constant.

Links

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

Formula

log(A(15)) = (1/16)*HarmonicNumber(15)*Bernoulli(16) - RiemannZeta'(-15).

log(A(15)) = (Bernoulli(16)/16)*(EulerGamma + log(2*Pi) - Zeta'(16)/Zeta(16)).

Example

-1.0705182300978220175863840536205...

Mathematica

RealDigits[(BernoulliB[16]/16)*(EulerGamma + Log[2*Pi] - Zeta'[16]/Zeta[16]), 10, 100][[1]]

Crossrefs

Cf. A266270, A266562.

Sequence in context: A060708 A021997 A099737 * A299624 A033150 A064648

Adjacent sequences: A271174 A271175 A271176 * A271178 A271179 A271180

Keyword

nonn,cons

Author

G. C. Greubel, Apr 01 2016

Status

approved