A099219 - OEIS

%I #19 Feb 04 2025 15:12:06

%S 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,

%T 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,

%U 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

%N Decimal expansion of Li_5(1/2).

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

%F Li_5(1/2) = Sum_{k>0} 1/2^k/k^5.

%e 0.50840057924...

%p polylog(5,1/2) ; evalf(%) ; # _R. J. Mathar_, Feb 15 2013

%t RealDigits[N[PolyLog[5, 1/2], 104]][[1]] (* _Jean-François Alcover_, Nov 07 2012 *)

%o (PARI) polylog(5,1/2) \\ _Charles R Greathouse IV_, Jul 14 2014

%Y Cf. A076788, A099217, A099218, A099220, A099221, A099222, A099223, A099224.

%K cons,nonn,changed

%O 0,1

%A _Benoit Cloitre_, Oct 06 2004