A347330 Decimal expansion of zeta(10) / zeta(5).

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

Offset

0,1

Links

Table of n, a(n) for n=0..86.

Michael I. Shamos, Shamos's catalog of the real numbers (2011).

Formula

Equals Sum_{k>=1} A008836(k) / k^5.

Equals Product_{p prime} 1/(1+p^(-5)). [corrected by Amiram Eldar, Jun 06 2023]

Example

0.96534649609163603621377296424322122474050...

Mathematica

RealDigits[Zeta[10] / Zeta[5], 10, 120][[1]] (* Amiram Eldar, Jun 06 2023 *)

Crossrefs

Cf. A008836, A182448, A347328, A347329, A347331.

Cf. A013663, A013668.

Sequence in context: A200138 A196772 A225406 * A343947 A367709 A247040

Adjacent sequences: A347327 A347328 A347329 * A347331 A347332 A347333

Keyword

nonn,cons

Author

Sean A. Irvine, Aug 26 2021

Status

approved