This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A099217 #26 Nov 04 2024 01:47:14 %S A099217 5,3,7,2,1,3,1,9,3,6,0,8,0,4,0,2,0,0,9,4,0,6,2,3,2,2,5,5,9,4,9,6,5,8, %T A099217 2,6,6,7,0,4,0,2,4,9,9,3,4,0,3,7,8,1,7,0,6,8,9,7,6,1,9,3,0,7,1,8,3,2, %U A099217 4,0,8,0,9,2,0,1,3,8,3,9,7,3,3,0,4,1,2,3,5,9,9,7,5,4,3,9,6,7,0,0,4,8,1,4 %N A099217 Decimal expansion of Li_3(1/2). %D A099217 Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 1.6.3, p. 44. %D A099217 L. Lewin, Polylogarithms and associated Functions, North Holland (1981) A.2.6(3) %H A099217 R. Barbieri, J. A. Mignaco, and E. Remiddi, <a href="https://dx.doi.org/10.1007/BF02728545">Electron form factors up to fourth order. I</a>, Il Nuovo Cim. 11A (4) (1972) 824-864, variable a_3 and table II (15). %H A099217 Michael I. Shamos, <a href="http://euro.ecom.cmu.edu/people/faculty/mshamos/cat.pdf">A catalog of the real numbers</a>, (2007). See p. 473. %F A099217 Li_3(1/2) = Sum_{k>0} 1/(2^k*k^3) = 0.537213193608... %F A099217 Li_3(1/2) = 7*zeta(3)/8-Pi^2*log(2)/12+log(2)^3/6. - _Benoit Cloitre_, May 22 2006 %e A099217 0.537213193608040200940623225594965826670402499340... %t A099217 RealDigits[PolyLog[3, 1/2], 10, 104] // First (* _Jean-François Alcover_, Feb 13 2013 *) %o A099217 (PARI) polylog(3,1/2) \\ _Charles R Greathouse IV_, Jul 14 2014 %Y A099217 Cf. A076788, A099218, A099219, A099220, A099221, A099222, A099223, A099224. %K A099217 nonn,cons %O A099217 0,1 %A A099217 _Benoit Cloitre_, Oct 06 2004 %E A099217 Leading zero removed by _R. J. Mathar_, Feb 05 2009