A099218 Decimal expansion of Li_4(1/2).

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

Offset: 0

Author

Benoit Cloitre, Oct 06 2004

Keywords

• cons
• nonn

References

• Alexander Apelblat, Tables of Integrals and Series, Harri Deutsch, (1996), Section 1.3.2.

Links

• G. Rutledge, R. D. Douglass, Table of definite integrals, Am. Math. Monthly 45 (8) (1938) 525-530, eq. (22).

Crossrefs

Cf. A076788, A099217, A099219, A099220, A099221, A099222, A099223, A099224.

Programs

Maple

polylog(4,1/2) ; evalf(%) ; # R. J. Mathar, Feb 15 2013

Mathematica

RealDigits[ N[ PolyLog[4, 1/2], 104]][[1]] (* Jean-François Alcover, Nov 07 2012 *)

PARI

polylog(4,1/2) \\ Charles R Greathouse IV, Jul 14 2014

Formula

Li_4(1/2)=sum(k>0, 1/2^k/k^4)=0.5174790616738993863...

Extensions

Leading zero removed, formula value corrected by R. J. Mathar, Feb 05 2009