A260663 Decimal expansion of the logarithm of the generalized Glaisher-Kinkelin constant A(13).

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

Offset

0,1

Comments

The logarithm of the thirteenth Bendersky constant.

Links

G. C. Greubel, Table of n, a(n) for n = 0..971

Formula

log(A(13)) = (1/14)*HarmonicNumber(13)*Bernoulli(14) - RiemannZeta'(-13).

Example

0.20126127251656938086022246478781120549...

Mathematica

N[(1/14)*HarmonicNumber[13]*Bernoulli[14] - N[RiemannZeta'[-13]]]

Crossrefs

Cf. A260660, A260662.

Sequence in context: A180662 A318144 A355297 * A241857 A342020 A300485

Adjacent sequences: A260660 A260661 A260662 * A260664 A260665 A260666

Keyword

nonn,cons,easy

Author

G. C. Greubel, Nov 13 2015

Status

approved