A346571 Decimal expansion of 2 - 305 * Pi^5 / 93312.

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

Offset: 0

Author

Sean A. Irvine, Jul 23 2021

Keywords

• nonn
• cons

Examples

			0.99974275699255354889900441997548161...
		

References

• L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (316).

Links

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

Crossrefs

Cf. A092731, A346573, A346572, A346570.

Programs

Mathematica

RealDigits[2 - 305 * Pi^5 / 93312, 10, 120][[1]] (* Amiram Eldar, Jun 21 2023 *)

PARI

2-305*Pi^5/93312 \\ Charles R Greathouse IV, Sep 28 2022

Formula

Equals 2 + 5 * 61 * Pi^5 / (2^7 * 3^6).

Equals 1 + Sum_{k>=1} ( ((-1)^k/(6*k-1)^5 - (-1)^k/(6*k+1)^5) ).