A347328 Decimal expansion of zeta(6) / zeta(3).

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

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^3.

Equals Product_{p prime} 1/(1+p^(-3)). [corrected by Amiram Eldar, Jun 06 2023]

Example

0.84633519370869490299489573673597978323680...

Mathematica

RealDigits[Zeta[6] / Zeta[3], 10, 120][[1]] (* Amiram Eldar, Jun 06 2023 *)

Crossrefs

Cf. A008836, A182448, A347329, A347330, A347331.

Cf. A002117, A013664.

Sequence in context: A354917 A243446 A349851 * A154188 A198500 A092727

Adjacent sequences: A347325 A347326 A347327 * A347329 A347330 A347331

Keyword

nonn,cons

Author

Sean A. Irvine, Aug 26 2021

Status

approved