%I #18 Nov 20 2024 23:33:47
%S 7,3,9,8,8,0,7,7,4,3,7,8,7,4,0,7,6,6,8,7,3,1,8,1,0,8,3,4,3,4,8,2,0,3,
%T 7,4,1,0,2,4,0,2,5,9,5,6,5,9,6,4,5,2,1,4,0,9,0,9,6,6,7,3,1,1,6,7,2,0,
%U 9,1,3,4,4,1,4,5,7,5,7,2,8,6,3,8,2,7,4,2,9,0,4,0,8,9,0,4,6,3,6,8
%N Decimal expansion of arctan(sqrt(5/6)).
%H G. C. Greubel, <a href="/A195725/b195725.txt">Table of n, a(n) for n = 0..10000</a>
%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%F Equals arcsin(sqrt(5/11)) = arccos(sqrt(6/11)). - _Amiram Eldar_, Jul 06 2023
%e arctan(sqrt(5/6)) = 0.7398807743787407668731810834348...
%t r = Sqrt[5/6];
%t N[ArcSin[r], 100]
%t RealDigits[%] (* A195720 *)
%t N[ArcCos[r], 100]
%t RealDigits[%] (* A195719 *)
%t N[ArcTan[r], 100]
%t RealDigits[%] (* A195725 *)
%t N[ArcCos[-r], 100]
%t RealDigits[%] (* A195726 *)
%o (PARI) atan(sqrt(5/6)) \\ _G. C. Greubel_, Aug 20 2018
%o (Magma) SetDefaultRealField(RealField(100)); Arctan(Sqrt(5/6)); // _G. C. Greubel_, Aug 20 2018
%Y Cf. A195719, A195720, A195726.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Sep 23 2011