A271172 - OEIS

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

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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...