A300892 Decimal expansion of log(zeta(Pi)).

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

Offset

0,2

Links

Table of n, a(n) for n=0..93.

Eric Weisstein's World of Mathematics, Prime Zeta Function.

Formula

Equals Sum_{j>0} P(Pi*j)/j, where P(k) is the prime zeta function of k.

Example

0.162324388201039242653194385921446031658309471175221254666817779668574570...

Mathematica

RealDigits[Log[Zeta[Pi]], 10, 100][[1]]

Crossrefs

Cf. A000796, A068469.

Sequence in context: A062614 A155527 A196525 * A380387 A291359 A055942

Adjacent sequences: A300889 A300890 A300891 * A300893 A300894 A300895

Keyword

nonn,cons

Author

Bruno Berselli, Mar 14 2018

Status

approved