A346585 Decimal expansion of Pi^3 / (18 * sqrt(3)).

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

Offset: 0

Author

Sean A. Irvine, Jul 24 2021

Keywords

• nonn
• cons
• easy

Examples

			0.99452678821883983883594015647988828371...
		

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, A346584, A346583, A346572.

Programs

Mathematica

First[RealDigits[N[Pi^3 / (2! * 3^2 * Sqrt[3]),88]]] (* Stefano Spezia, Jul 24 2021 *)

Formula

Equals Pi^3 / (2! * 3^2 * sqrt(3)).

Equals 1 + Sum_{k>=1} ( 1/(6*k+1)^3 - 1/(6*k-1)^3 ).