A347331 Decimal expansion of 691 * Pi^6 / 675675.

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

Offset: 0

Author

Sean A. Irvine, Aug 26 2021

Keywords

• nonn
• cons

Examples

			0.9831944836800760217380865587210155031...
		

Links

• Michael I. Shamos, Shamos's catalog of the real numbers (2011).
• Index entries for transcendental numbers.

Crossrefs

Cf. A008836, A182448, A347328, A347329, A347330.

Cf. A013664, A013670.

Programs

Mathematica

RealDigits[691 * Pi^6 / 675675, 10, 120][[1]] (* Amiram Eldar, Jun 06 2023 *)

Formula

Equals zeta(12) / zeta(6).

Equals Sum_{k>=1} A008836(k) / k^6.

Equals Product_{p prime} 1/(1+p^(-6)). [corrected by Amiram Eldar, Jun 06 2023]

Extensions

Data corrected by Amiram Eldar, Jun 06 2023