A099221 Decimal expansion of Li_7(1/2).

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

Offset

0,1

Links

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

Formula

Equals Sum_{k>0} 1/(2^k*k^7).

From Amiram Eldar, Jun 25 2026: (Start)

Equals (1/1440) * Intergral_{x>=0} x^6/(exp(x)-1/2) dx.

Equals (1/120) * Intergral_{x=0..1} log(x)^5*log(1-x/2)/x dx. (End)

Example

0.50201456332470849456748929564070703628018815248978...

Mathematica

RealDigits[ N[ PolyLog[7, 1/2], 105]][[1]] (* Jean-François Alcover, Nov 07 2012 *)

Prog

(PARI) polylog(7, 1/2) \\ Charles R Greathouse IV, Jul 14 2014

Crossrefs

Cf. A076788, A099217, A099218, A099219, A099220, A099222, A099223, A099224.

Sequence in context: A256069 A356652 A267480 * A200415 A200418 A200637

Adjacent sequences: A099218 A099219 A099220 * A099222 A099223 A099224

Keyword

cons,nonn

Author

Benoit Cloitre, Oct 06 2004

Extensions

Formula value corrected and leading zero removed by R. J. Mathar, Feb 05 2009

Status

approved