A346584 Decimal expansion of 11 * Pi^5 / (1944 * sqrt(3)).

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

Offset: 0

Author

Sean A. Irvine, Jul 24 2021

Keywords

• nonn
• cons
• easy

Examples

			0.99973560764875173899502869478850690...
		

References

• L. B. W. Jolley, Summation of Series, Dover, 1961, Eq. (314).

Links

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

Crossrefs

Cf. A093766, A346585, A346583, A346571.

Programs

Mathematica

First[RealDigits[N[11 * Pi^5 / (4! * 3^4 * Sqrt[3]),88]]] (* Stefano Spezia, Jul 24 2021 *)

Formula

Equals 11 * Pi^5 / (4! * 3^4 * sqrt(3)).

Equals 1 + Sum_{k>=1} ( 1/(6*k+1)^5 - 1/(6*k-1)^5 ).