A243311 Decimal expansion of the volume of a regular ideal hyperbolic 4-simplex.

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

Offset: 0

Author

Jean-François Alcover, Jun 03 2014

Keywords

• nonn
• cons
• easy

Examples

			0.268895660169311225469294867227245664524994437...
		

References

• Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 8.9 Hyperbolic volume constants, p. 512.

Crossrefs

Cf. A019503, A143298 (Gieseking's constant is also the volume of a regular ideal hyperbolic 3-simplex).

Programs

Mathematica

RealDigits[10*Pi/3*ArcSin[1/3] - Pi^2/3, 10, 102] // First

PARI

10*Pi/3*asin(1/3) - Pi^2/3 \\ Stefano Spezia, Dec 24 2024

Formula

Equals 10*Pi/3*arcsin(1/3) - Pi^2/3.