%I A086724
%S A086724 7,8,1,3,0,2,4,1,2,8,9,6,4,8,6,2,9,6,8,6,7,1,8,7,4,2,9,6,2,4,0,9,2,
%T A086724 3,5,6,3,6,5,1,3,4,3,3,6,5,4,5,2,8,5,4,2,0,2,2,2,1,0,0,0,6,2,9,6,6,
%U A086724 8,8,6,9,8,4,6,5,1,6,1,8,2,1,8,0,9,2,8,6,9,5,7,0,8,3,2,2,0,9,8,6,1
%N A086724 Decimal expansion of g(1)-g(2)+g(4)-g(5), where g(k) = sum(1/(6*m+k)^2,
               m=0..infinity).
%C A086724 This number is L(2, chi3), where L(s, chi3) is the Dirichlet L-function 
               for the non-principal character modulo 3. - Stuart Clary (clary(AT)uakron.edu), 
               Dec 17, 2008
%D A086724 L. Fejes Toth, Lagerungen in der Ebene, auf der Kugel und im Raum, 2nd. 
               ed., Springer-Verlag, Berlin, Heidelberg 1972; see p. 213.
%e A086724 .781302412896486296867...
%t A086724 nmax = 1000; First[ RealDigits[(Zeta[2, 1/3] - Zeta[2, 2/3])/9, 10, nmax] 
               ] - Stuart Clary (clary(AT)uakron.edu), Dec 17, 2008
%Y A086724 Cf. A086722-A086731.
%Y A086724 Cf. A153066, A153067, A153068. - Stuart Clary (clary(AT)uakron.edu), 
               Dec 17, 2008
%Y A086724 Sequence in context: A073004 A021132 A019936 this_sequence A093720 A154216 
               A126625
%Y A086724 Adjacent sequences: A086721 A086722 A086723 this_sequence A086725 A086726 
               A086727
%K A086724 nonn,cons
%O A086724 0,1
%A A086724 N. J. A. Sloane (njas(AT)research.att.com), Jul 31 2003