A346930 Decimal expansion of 5207 * Pi^8 / 49601160.

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

Offset: 0

Author

Sean A. Irvine, Aug 07 2021

Keywords

• nonn
• cons

Examples

			0.9960811602123716230652366325473543260...
		

References

• L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (312).

Links

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

Crossrefs

Cf. A346933, A346932, A346931, A346929.

Programs

Mathematica

RealDigits[5207 * Pi^8 / 49601160, 10, 120][[1]] (* Amiram Eldar, Jun 20 2023 *)

Formula

Equals 41 * 127 * Pi^8 / (2^3 * 3^11 * 5 * 7).

Equals 1 + Sum_{k>=1} ( (-1)^k/(3*k-1)^8 + (-1)^k/(3*k+1)^8 ).