A346449 Decimal expansion of 257543 * Pi^8 / (1410877440 * sqrt(3)).

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

Offset: 0

Author

Sean A. Irvine, Jul 18 2021

Keywords

• nonn
• cons
• easy

Comments

Note Shamos has a typo, 25743 instead of 257543.

Examples

			0.9999972722389309471467818749637839272444862497...
		

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, A346450.

Programs

Mathematica

First[RealDigits[N[11*13*1801*Pi^8/(2^11*3^9*5*7*Sqrt[3]),100]]] (* Stefano Spezia, Jul 19 2021 *)

Formula

Equals 11 * 13 * 1801 * Pi^8 / (2^11 * 3^9 * 5 * 7 * sqrt(3)).

Equals 1 + Sum_{k>=1} ( (-1)^k/(6*k-1)^8 + (-1)^k/(6*k+1)^8 ).