A099219 Decimal expansion of Li_5(1/2).

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

Offset: 0

Author

Benoit Cloitre, Oct 06 2004

Keywords

• cons
• nonn

Examples

			0.50840057924...
		

References

• Alexander Apelblat, Tables of Integrals and Series, Harri Deutsch (1996), Section 1.3.2.

Crossrefs

Cf. A076788, A099217, A099218, A099220, A099221, A099222, A099223, A099224.

Programs

Maple

polylog(5,1/2) ; evalf(%) ; # R. J. Mathar, Feb 15 2013

Mathematica

RealDigits[N[PolyLog[5, 1/2], 104]][[1]] (* Jean-François Alcover, Nov 07 2012 *)

PARI

polylog(5,1/2) \\ Charles R Greathouse IV, Jul 14 2014

Formula

Li_5(1/2) = Sum_{k>0} 1/2^k/k^5.