A346451 Decimal expansion of 23 * Pi^4 / (1296 * sqrt(3)).

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

Offset: 0

Author

Sean A. Irvine, Jul 18 2021

Keywords

• nonn
• cons
• easy

Examples

			0.99807159983792868732970969812...
		

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, A346450, A346449.

Programs

Mathematica

First[RealDigits[N[23*Pi^4/(2^4*3^4*Sqrt[3]),100]]] (* Stefano Spezia, Jul 19 2021 *)
RealDigits[(23 Pi^4)/(1296 Sqrt[3]),10,120][[1]] (* Harvey P. Dale, Jun 20 2023 *)

Formula

Equals 23 * Pi^4 / (2^4 * 3^4 * sqrt(3)).

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