A271170 - OEIS

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A271170

Decimal expansion of the logarithm of the generalized Glaisher-Kinkelin constant A(3) (negated).

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

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OFFSET

0,2

COMMENTS

The logarithm of the third Bendersky constant.

LINKS

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

FORMULA

Equals (Bernoulli(4)/4)*(EulerGamma + log(2*Pi) - (Zeta'(4)/Zeta(4))).

log(A(3)) = HarmonicNumber(3)*Bernoulli(4)/4 - Zeta'(-3).

EXAMPLE

-0.02065635413555207892219475198819162067344221752007...