A346450 Decimal expansion of 1681 * Pi^6 / (933120 * sqrt(3)).

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

Offset: 0

Author

Sean A. Irvine, Jul 18 2021

Keywords

• nonn
• cons
• easy

Examples

			0.99992821782510442180143305623089402637...
		

References

• L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (329).

Links

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

Crossrefs

Cf. A258414, A346451, A346449.

Programs

Mathematica

First[RealDigits[N[41^2*Pi^6/(2^8*3^6*5*Sqrt[3]),100]]] (* Stefano Spezia, Jul 19 2021 *)
RealDigits[1681 Pi^6/(933120 Sqrt[3]),10,120][[1]] (* Harvey P. Dale, Oct 01 2023 *)

Formula

Equals 41^2 * Pi^6 / (2^8 * 3^6 * 5 * sqrt(3)).

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