A271173 Decimal expansion of the logarithm of the generalized Glaisher-Kinkelin constant A(7) (negated).

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

Offset: 0

Author

G. C. Greubel, Apr 01 2016

Keywords

• nonn
• cons

Comments

The logarithm of the seventh Bendersky constant.

Examples

			-0.010074928748412187918961338073921...
		

Links

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

Crossrefs

Cf. A259072, A266554.

Programs

Mathematica

Join[{0}, RealDigits[(BernoulliB[8]/8)*(EulerGamma + Log[2*Pi] - Zeta'[8]/Zeta[8]), 10, 100] // First]

Formula

log(A(7)) = (1/8)*HarmonicNumber(7)*Bernoulli(8) - RiemannZeta'(-7).

log(A(7)) = (Bernoulli(8)/8)*(EulerGamma + log(2*Pi) - Zeta'(8)/Zeta(8)).