A346727 Decimal expansion of 361 * Pi^6 / (245760 * sqrt(2)).

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

Offset: 0

Author

Sean A. Irvine, Jul 30 2021

Keywords

• nonn
• cons

Comments

Shamos (2011) has incorrect formula 19^2*Pi^4 / (2^14*3*5*sqrt(3)).

Examples

			0.998573971953530547670270516106668073031954930...
		

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, A346260, A346450.

Programs

Mathematica

RealDigits[361*Pi^6/(245760*Sqrt[2]), 10, 120][[1]] (* Amiram Eldar, Jun 13 2023 *)

Formula

Equals 19^2 * Pi^6 / (2^14 * 3 * 5 * sqrt(2)).

Equals 1 + Sum_{k>=1} ( (-1)^k/(4*k-1)^6 + (-1)^k/(4*k+1)^6 ).