A099223 Decimal expansion of Li_9(1/2).

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

Offset

0,1

Links

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

Formula

Li_9(1/2)=sum(k>0, 1/2^k/k^9)=0.5004948881...

Mathematica

RealDigits[ N[ PolyLog[9, 1/2], 105]][[1]] (* Jean-François Alcover, Nov 07 2012 *)

Prog

(PARI) polylog(9, 1/2) \\ Charles R Greathouse IV, Jul 14 2014

Crossrefs

Cf. A076788, A099217, A099218, A099219, A099220, A099221, A099222, A099224.

Sequence in context: A300237 A105077 A073231 * A233427 A237660 A261852

Adjacent sequences: A099220 A099221 A099222 * A099224 A099225 A099226

Keyword

cons,nonn

Author

Benoit Cloitre, Oct 06 2004

Status

approved