A346572 Decimal expansion of 2 - 7 * Pi^3 / 216.

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

Offset: 0

Author

Sean A. Irvine, Jul 23 2021

Keywords

• nonn
• cons

Examples

			0.995166959434728049868823122825417748...
		

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. A346573, A346571, A346570.

Programs

Mathematica

RealDigits[2 - 7 * Pi^3 / 216, 10, 120][[1]] (* Amiram Eldar, Jun 20 2023 *)

Formula

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

Equals 1 + Sum_{k>=1} ( ((-1)^k/(6*k-1)^3 - (-1)^k/(6*k+1)^3) ).