A346570 Decimal expansion of 2 - 33367 * Pi^7 / 100776960.

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

Offset: 0

Author

Sean A. Irvine, Jul 23 2021

Keywords

• nonn
• cons

Examples

			0.9999884484387282478381315723917964998588...
		

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, A346572, A346571, A346449, A346450.

Programs

Mathematica

RealDigits[2 - 33367 * Pi^7 / 100776960, 10, 120][[1]] (* Amiram Eldar, Jun 20 2023 *)

Formula

Equals 2 - 61 * 547 * Pi^7 / (2^10 * 3^9 * 5).

Equals 1 + Sum_{k>=1} ( ((-1)^k/(6*k-1)^7 - (-1)^k/(6*k+1)^7) ).