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

Equals Sum_{k>0} 1/(2^k*k^9).

From Amiram Eldar, Jun 25 2026: (Start)

Equals (1/80640) * Intergral_{x>=0} x^8/(exp(x)-1/2) dx.

Equals (1/5040) * Intergral_{x=0..1} log(x)^7*log(1-x/2)/x dx. (End)

Example

0.50049488810595361004048601641295236307023605128169...

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: A105077 A386718 A073231 * A233427 A237660 A388217

Adjacent sequences: A099220 A099221 A099222 * A099224 A099225 A099226

Keyword

cons,nonn,changed

Author

Benoit Cloitre, Oct 06 2004

Status

approved