A099217 Decimal expansion of Li_3(1/2).

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

Offset

0,1

References

L. Lewin, Polylogarithms and associated Functions, North Holland (1981) A.2.6(3)

Links

Table of n, a(n) for n=0..103.

Formula

Li_3(1/2)=sum(k>0, 1/2^k/k^3)=0.537213193608...

Li_3(1/2) = 7*zeta(3)/8-Pi^2*log(2)/12+log(2)^3/6. - Benoit Cloitre, May 22 2006

Mathematica

RealDigits[ PolyLog[3, 1/2], 10, 104] // First (* Jean-François Alcover, Feb 13 2013 *)

Prog

(PARI) polylog(3, 1/2) \\ Charles R Greathouse IV, Jul 14 2014

Crossrefs

Cf. A076788, A099218, A099219, A099220, A099221, A099222, A099223, A099224.

Sequence in context: A066253 A065169 A247617 * A023103 A153454 A198877

Adjacent sequences: A099214 A099215 A099216 * A099218 A099219 A099220

Keyword

nonn,cons

Author

Benoit Cloitre, Oct 06 2004

Extensions

Leading zero removed by R. J. Mathar, Feb 05 2009

Status

approved