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A383859 Central angle of the solution of the Tammes problem for 7 points on the sphere (in radians).

%I A383859 #9 May 19 2025 15:47:00
%S A383859 1,3,5,9,0,7,9,8,9,7,6,3,2,6,6,0,1,4,1,8,8,5,0,0,2,8,8,1,6,4,7,3,3,2,
%T A383859 7,5,3,7,8,3,0,2,1,4,5,9,8,6,1,2,8,2,4,9,1,3,2,6,2,8,0,7,8,3,7,1,5,9,
%U A383859 7,3,9,8,1,6,5,8,7,6,9,7,2,4,2,6
%N A383859 Central angle of the solution of the Tammes problem for 7 points on the sphere (in radians).
%H A383859 Laslo Hars, <a href="https://www.hars.us/Papers/Numerical_Tammes.pdf">Numerical solutions of the Tammes problem for up to 60 points</a>, Nov 2020, N=7.
%H A383859 K. Schutte and B. L. van der Waerden, <a href="https://doi.org/10.1007/BF02054944">Auf welcher Kugel haben 5, 6, 7, 8 oder 9 Punkte mit Mindestabstand eins Platz?</a>, Math. Ann. 123 (1951) 96-124.
%H A383859 Wikipedia, <a href="https://en.wikipedia.org/wiki/Tammes_problem">Tammes problem</a>
%F A383859 cos( this ) = cos phi/(1- cos phi) where cos(phi)=A019819.
%e A383859 1.3590798976326601418850028816473327537..
%p A383859 cos(4*Pi/9) ; %/(1-%) ; arccos(%) ; evalf(%,120) ;
%Y A383859 Cf. A019819, A019669 (N=6), A381756 (N=8), A137914 (N=9), A340918 (N=10), A105199 (N=11 and N=12). A217695 (N=13), A383860 (N=14), A383861 (N=24).
%K A383859 nonn,cons
%O A383859 1,2
%A A383859 _R. J. Mathar_, May 12 2025