A099220 Decimal expansion of Li_6(1/2).

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

Offset

0,1

Links

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

Formula

Li_6(1/2)=sum(k>0, 1/2^k/k^6)=0.5040953978...

Mathematica

RealDigits[ N[ PolyLog[6, 1/2], 105]][[1]] (* Jean-François Alcover, Nov 07 2012 *)

Prog

(PARI) polylog(6, 1/2) \\ Charles R Greathouse IV, Jul 14 2014

Crossrefs

Cf. A076788, A099217, A099218, A099219, A099221, A099222, A099223, A099224.

Sequence in context: A200102 A016581 A175472 * A229174 A021956 A139341

Adjacent sequences: A099217 A099218 A099219 * A099221 A099222 A099223

Keyword

cons,nonn

Author

Benoit Cloitre, Oct 06 2004

Status

approved