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%I #18 Sep 17 2018 09:00:18
%S 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,
%T 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,
%U 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
%N Decimal expansion of Li_4(1/2).
%D Alexander Apelblat, Tables of Integrals and Series, Harri Deutsch, (1996), Section 1.3.2.
%H G. Rutledge, R. D. Douglass, <a href="http://dx.doi.org/10.2307/2303745">Table of definite integrals</a>, Am. Math. Monthly 45 (8) (1938) 525-530, eq. (22).
%F Li_4(1/2)=sum(k>0, 1/2^k/k^4)=0.5174790616738993863...
%p polylog(4,1/2) ; evalf(%) ; # _R. J. Mathar_, Feb 15 2013
%t RealDigits[ N[ PolyLog[4, 1/2], 104]][[1]] (* _Jean-François Alcover_, Nov 07 2012 *)
%o (PARI) polylog(4,1/2) \\ _Charles R Greathouse IV_, Jul 14 2014
%Y Cf. A076788, A099217, A099219, A099220, A099221, A099222, A099223, A099224.
%K cons,nonn
%O 0,1
%A _Benoit Cloitre_, Oct 06 2004
%E Leading zero removed, formula value corrected by _R. J. Mathar_, Feb 05 2009
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