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

0,1

References

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

Links

Table of n, a(n) for n=0..101.

Formula

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

Example

0.268895660169311225469294867227245664524994437...

Mathematica

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

Crossrefs

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

Sequence in context: A272097 A236676 A021376 * A093888 A136702 A328910

Adjacent sequences: A243308 A243309 A243310 * A243312 A243313 A243314

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Jun 03 2014

Status

approved