A271179 Decimal expansion of the logarithm of the generalized Glaisher-Kinkelin constant A(19) (negated).

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

Offset: 2

Author

G. C. Greubel, Apr 01 2016

Keywords

• nonn
• cons

Comments

The logarithm of the nineteenth Bendersky constant.

Examples

			-63.894223088837260522097286352901934733...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 2..2003

Crossrefs

Cf. A266566, A266274.

Programs

Mathematica

RealDigits[(BernoulliB[20]/20)*(EulerGamma + Log[2*Pi] - Zeta'[20]/Zeta[20]), 10, 100][[1]]

Formula

log(A(19)) = (1/20)*HarmonicNumber(19)*Bernoulli(20) - RiemannZeta'(-19).

log(A(19)) = (Bernoulli(20)/20)*(EulerGamma + log(2*Pi) - Zeta'(20)/Zeta(20)).