A068469 -id:A068469 - cp's OEIS frontend

A197080 Continued fraction for zeta(Pi).

1, 5, 1, 2, 14, 1, 3, 3, 2, 2, 2, 7, 1, 4, 10, 1, 2, 2, 31, 1, 4, 1, 9, 2, 8, 1, 2, 1, 4, 1, 3, 1, 4, 2, 1, 3, 63, 1, 1, 1, 44, 1, 2, 7, 3, 2, 5, 5, 5, 9, 1, 1, 2, 10, 1, 1, 1, 2, 1, 19, 4, 2, 1, 5, 5, 16, 1, 47, 198, 3, 1, 111, 3, 2, 3, 1, 1, 5

Offset: 0

Michael Lee, Oct 09 2011

Cf. A068469.

Mathematica
```
ContinuedFraction[Zeta[Pi], 100]
```

Offset changed by Andrew Howroyd, Jul 03 2024

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

Original entry on oeis.org

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

Bruno Berselli, Mar 14 2018

			0.162324388201039242653194385921446031658309471175221254666817779668574570...

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

Cf. A000796, A068469.

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

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

cp's OEIS Frontend

A197080 Continued fraction for zeta(Pi).

Views

Author

Keywords

Crossrefs

Programs

Mathematica

Extensions