A099222 Decimal expansion of Li_8(1/2).

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

Offset

0,1

Links

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

Formula

Li_8(1/2)=sum(k>0, 1/2^k/k^8)=0.500996659...

Mathematica

RealDigits[ N[ PolyLog[8, 1/2], 105]][[1]] (* Jean-François Alcover, Nov 07 2012 *)

Prog

(PARI) polylog(8, 1/2) \\ Charles R Greathouse IV, Jul 14 2014

Crossrefs

Cf. A076788, A099217, A099218, A099219, A099220, A099221, A099223, A099224.

Sequence in context: A198225 A256929 A068459 * A341796 A340481 A236232

Adjacent sequences: A099219 A099220 A099221 * A099223 A099224 A099225

Keyword

cons,nonn

Author

Benoit Cloitre, Oct 06 2004

Status

approved