A346260 Decimal expansion of 24611 * Pi^8 / (165150720 * sqrt(2)).

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

Offset: 0

Author

Sean A. Irvine, Jul 30 2021

Keywords

• nonn
• cons

Examples

			0.99984521547922560046287988947718520...
		

References

• L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (327).

Links

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

Crossrefs

Cf. A328895, A346728, A346727, A346449.

Programs

Mathematica

RealDigits[24611 * Pi^8 / (165150720 * Sqrt[2]), 10, 120][[1]] (* Amiram Eldar, Jun 20 2023 *)

Formula

Equals 24611 * Pi^8 / (2^19 * 3^2 * 5 * 7 * sqrt(2)).

Equals 1 + Sum_{k>=1} ( (-1)^k/(4*k-1)^8 + (-1)^k/(4*k+1)^8 ).