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Decimal expansion of arccos(-sqrt(1/6)).
2

%I #20 Nov 21 2024 07:55:12

%S 1,9,9,1,3,3,0,6,6,2,0,7,8,8,6,1,7,4,7,1,1,9,5,8,4,2,0,7,5,5,2,9,6,6,

%T 8,1,5,4,4,9,6,2,4,0,9,2,5,0,7,4,7,2,5,2,0,3,7,6,7,3,3,6,9,8,4,9,9,9,

%U 5,2,8,5,4,8,8,1,2,7,3,1,7,9,5,7,3,2,8,4,4,1,5,0,9,6,8,5,1,0,5,0,8,8,2,5,6,3,3,8,5,8,7,4,6,5,6,4,1,1,3,4,8,7,5,8,7,0,0,5,1,1

%N Decimal expansion of arccos(-sqrt(1/6)).

%H G. C. Greubel, <a href="/A195722/b195722.txt">Table of n, a(n) for n = 1..10000</a>

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>

%F Equals Pi - arcsin(sqrt(5/6)) = Pi - arctan(sqrt(5)). - _Amiram Eldar_, Jul 06 2023

%e arccos(-sqrt(1/6)) = 1.99133066207...

%t RealDigits[ArcCos[-Sqrt[(1/6)]],10,120][[1]] (* _Harvey P. Dale_, May 30 2014 *)

%o (PARI) acos(-sqrt(1/6)) \\ _G. C. Greubel_, Aug 20 2018

%o (Magma) SetDefaultRealField(RealField(100)); Arccos(-Sqrt(1/6)); // _G. C. Greubel_, Aug 20 2018

%Y Cf. A195720.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Sep 23 2011

%E Corrected and extended by _Harvey P. Dale_, May 30 2014