A271172 Decimal expansion of the logarithm of the generalized Glaisher-Kinkelin constant A(5).

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

Offset

0,3

Comments

The logarithm of the fifth Bendersky constant.

Links

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

Formula

log(A(5)) = (1/6)*HarmonicNumber(5)*Bernoulli(6) - RiemannZeta'(-5).

log(A(5)) = (BernoulliB(6)/6)*(EulerGamma + log(2*Pi) - Zeta'(6)/Zeta(6)).

Example

0.009633832541045196051551840709680435359814...

Mathematica

Join[{0, 0}, RealDigits[(BernoulliB[6]/6)*(EulerGamma + Log[2*Pi] - Zeta'[6]/Zeta[6]), 10, 100] // First]

Crossrefs

Cf. A243265, A259070.

Sequence in context: A175616 A200232 A198997 * A019683 A020759 A226582

Adjacent sequences: A271169 A271170 A271171 * A271173 A271174 A271175

Keyword

nonn,cons

Author

G. C. Greubel, Apr 01 2016

Status

approved