A271174 Decimal expansion of the logarithm of the generalized Glaisher-Kinkelin constant A(9).

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

Offset

0,3

Comments

The logarithm of the ninth Bendersky constant.

Links

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

Formula

log(A(9)) = (1/10)*HarmonicNumber(9)*Bernoulli(10) - RiemannZeta'(-9).

log(A(9)) = (Bernoulli(10)/10)*(EulerGamma + log(2*Pi) - Zeta'(10)/Zeta(10).

Example

0.01830143236178910882275580939079223...

Mathematica

Join[{0}, RealDigits[(BernoulliB[10]/10)*(EulerGamma + Log[2*Pi] - Zeta'[10]/Zeta[10]), 10, 100] // First]

Crossrefs

Cf. A266260, A266556.

Sequence in context: A281068 A093082 A107671 * A216891 A349454 A256783

Adjacent sequences: A271171 A271172 A271173 * A271175 A271176 A271177

Keyword

nonn,cons

Author

G. C. Greubel, Apr 01 2016

Status

approved