A271175 Decimal expansion of the logarithm of the generalized Glaisher-Kinkelin constant A(11) (negated).

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

Offset

0,2

Comments

The logarithm of the eleventh Bendersky constant.

Links

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

Formula

log(A(11)) = (1/12)*HarmonicNumber(11)*Bernoulli(12) - RiemannZeta'(-11).

log(A(11)) = (Bernoulli(12)/12)*(EulerGamma + log(2*Pi) - Zeta'(12)/Zeta(12)).

Example

-0.050944672580785642734014417286312...

Mathematica

Join[{0}, RealDigits[(BernoulliB[12]/12)*(EulerGamma + Log[2*Pi] - Zeta'[12]/Zeta[12]), 10, 100] // First]

Crossrefs

Cf. A266262, A266558.

Sequence in context: A132706 A199184 A159692 * A367740 A196769 A019925

Adjacent sequences: A271172 A271173 A271174 * A271176 A271177 A271178

Keyword

nonn,cons

Author

G. C. Greubel, Apr 01 2016

Status

approved