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A099219
Decimal expansion of Li_5(1/2).
7
5, 0, 8, 4, 0, 0, 5, 7, 9, 2, 4, 2, 2, 6, 8, 7, 0, 7, 4, 5, 9, 1, 0, 8, 8, 4, 9, 2, 5, 8, 5, 8, 9, 9, 4, 1, 3, 1, 9, 5, 4, 1, 1, 2, 5, 6, 6, 4, 8, 2, 1, 6, 4, 8, 7, 2, 4, 4, 9, 7, 7, 9, 6, 3, 5, 2, 6, 2, 5, 3, 9, 4, 2, 2, 8, 7, 8, 0, 2, 4, 2, 6, 1, 9, 3, 8, 4, 2, 1, 0, 0, 4, 9, 3, 4, 4, 9, 5, 5, 0, 6, 2, 2, 5
OFFSET
0,1
REFERENCES
Alexander Apelblat, Tables of Integrals and Series, Harri Deutsch (1996), Section 1.3.2.
FORMULA
Li_5(1/2)=sum(k>0, 1/2^k/k^5)=0.50840057924...
MAPLE
polylog(5, 1/2) ; evalf(%) ; # R. J. Mathar, Feb 15 2013
MATHEMATICA
RealDigits[N[PolyLog[5, 1/2], 104]][[1]] (* Jean-François Alcover, Nov 07 2012 *)
PROG
(PARI) polylog(5, 1/2) \\ Charles R Greathouse IV, Jul 14 2014
KEYWORD
cons,nonn
AUTHOR
Benoit Cloitre, Oct 06 2004
STATUS
approved