A244345 Decimal expansion of xi_3 = 5*G, the volume of an ideal hyperbolic cube, where G is Gieseking's constant.

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

Offset

1,1

References

Steven R. Finch, Mathematical Constants, Cambridge, 2003, Section 8.9 Hyperbolic Volume Constants p. 512.

Links

Table of n, a(n) for n=1..104.

Eric Weisstein's MathWorld, Gieseking's Constant

Eric Weisstein's MathWorld, Polygamma Function

Formula

5*(9 - Polygamma(1, 2/3) + Polygamma(1, 4/3)) / (4*sqrt(3)).

Example

5.0747080320482681251060127713726...

Mathematica

G = (9 - PolyGamma[1, 2/3] + PolyGamma[1, 4/3])/(4*Sqrt[3]); RealDigits[5*G, 10, 104] // First

Crossrefs

Cf. A143298, A242710.

Sequence in context: A333507 A345327 A322712 * A021873 A020801 A010776

Adjacent sequences: A244342 A244343 A244344 * A244346 A244347 A244348

Keyword

nonn,cons

Author

Jean-François Alcover, Jun 26 2014

Status

approved