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A195725 Decimal expansion of arctan(sqrt(5/6)).

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