A099220 Decimal expansion of Li_6(1/2).
5, 0, 4, 0, 9, 5, 3, 9, 7, 8, 0, 3, 9, 8, 8, 5, 5, 0, 6, 9, 0, 0, 4, 6, 5, 0, 9, 7, 8, 8, 8, 7, 9, 0, 9, 5, 2, 0, 6, 5, 2, 2, 2, 8, 9, 3, 2, 6, 6, 7, 4, 4, 4, 9, 2, 3, 1, 3, 4, 5, 2, 6, 1, 0, 8, 3, 6, 3, 5, 9, 2, 0, 8, 5, 5, 6, 6, 7, 5, 5, 8, 4, 4, 4, 3, 3, 9, 8, 6, 8, 7, 6, 2, 1, 1, 7, 1, 2, 5, 0, 7, 6, 3, 2
Offset: 0
Programs
-
Mathematica
RealDigits[ N[ PolyLog[6, 1/2], 105]][[1]] (* Jean-François Alcover, Nov 07 2012 *)
-
PARI
polylog(6,1/2) \\ Charles R Greathouse IV, Jul 14 2014
Formula
Li_6(1/2)=sum(k>0, 1/2^k/k^6)=0.5040953978...