A099224 Decimal expansion of Li_{10}(1/2).

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

Offset

0,1

Links

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

Formula

Li_{10}(1/2)=sum(k>0, 1/2^k/k^10)=0.500246320606006775...

Mathematica

RealDigits[ N[ PolyLog[10, 1/2], 105]][[1]] (* Jean-François Alcover, Nov 07 2012 *)

Prog

(PARI) polylog(10, 1/2) \\ Charles R Greathouse IV, Jul 14 2014

Crossrefs

Cf. A076788, A099217, A099218, A099219, A099220, A099221, A099222, A099223.

Sequence in context: A171915 A287703 A316480 * A136598 A193524 A300237

Adjacent sequences: A099221 A099222 A099223 * A099225 A099226 A099227

Keyword

cons,nonn

Author

Benoit Cloitre, Oct 06 2004

Status

approved