cp's OEIS Frontend

A242617 Decimal expansion of Kuijlaars-Saff constant, a constant related to Tammes' constants, Thomson's electron problem and Fekete points.

%I A242617 #12 Feb 16 2025 08:33:22
%S A242617 5,5,3,0,5,1,2,9,3,3,5,7,5,9,5,1,8,6,7,7,9,9,5,1,0,3,7,0,8,7,1,2,4,7,
%T A242617 7,4,5,5,0,8,0,2,8,5,7,6,0,1,9,6,6,1,7,7,6,3,3,0,4,0,7,0,9,7,0,5,9,5,
%U A242617 3,8,7,8,8,4,0,7,7,1,2,5,4,1,6,8,7,0,5,3,7,3,2,6,3,1,6,8,2,9,1,3
%N A242617 Decimal expansion of Kuijlaars-Saff constant, a constant related to Tammes' constants, Thomson's electron problem and Fekete points.
%D A242617 Steven R. Finch, Mathematical Constants, Cambridge, 2003, Section 8.8 p. 509.
%H A242617 A. B. J. Kuijlaars and E. B. Saff, <a href="http://www.ams.org/journals/tran/1998-350-02/S0002-9947-98-02119-9/S0002-9947-98-02119-9.pdf">Asymptotics for minimal discrete energy on the sphere</a>
%H A242617 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/ThomsonProblem.html">Thomson Problem</a>
%H A242617 Wikipedia, <a href="https://en.wikipedia.org/wiki/Thomson_problem">Thomson problem</a>
%F A242617 sqrt(3)*sqrt(sqrt(3)/(8*Pi))*zeta(1/2)*(zeta(1/2, 1/3) - zeta(1/2, 2/3)).
%e A242617 -0.5530512933575951867799510370871247745508...
%t A242617 c = Sqrt[3]*Sqrt[Sqrt[3]/(8*Pi)]*Zeta[1/2]*(Zeta[1/2, 1/3] - Zeta[1/2, 2/3]); RealDigits[c, 10, 100] // First
%o A242617 (PARI) sqrt(sqrt(27)/8/Pi)*zeta(1/2)*(zetahurwitz(1/2, 1/3) - zetahurwitz(1/2, 2/3)) \\ _Charles R Greathouse IV_, Jan 31 2018
%Y A242617 Cf. A059750, A080865, A242088.
%K A242617 nonn,cons
%O A242617 0,1
%A A242617 _Jean-François Alcover_, May 19 2014