cp's OEIS Frontend

A195705 Decimal expansion of arctan(sqrt(3/8)).

%I A195705 #15 Nov 20 2024 23:41:08
%S A195705 5,4,9,4,6,7,2,4,4,7,5,7,6,2,7,3,7,1,0,8,5,4,0,0,2,5,0,3,2,6,7,3,1,9,
%T A195705 7,6,9,9,3,0,6,1,4,2,4,2,5,6,8,9,1,9,0,6,8,2,3,2,2,4,8,1,3,3,3,3,9,9,
%U A195705 8,2,8,1,3,9,4,6,6,3,7,0,7,8,4,3,0,0,0,9,9,9,7,3,0,0,6,2,1,6,0,2
%N A195705 Decimal expansion of arctan(sqrt(3/8)).
%H A195705 G. C. Greubel, <a href="/A195705/b195705.txt">Table of n, a(n) for n = 0..5000</a>
%H A195705 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%F A195705 Equals arcsin(sqrt(3/11)) = arccos(2*sqrt(2/11)). - _Amiram Eldar_, Jul 09 2023
%e A195705 arctan(sqrt(3/8)) = 0.549467244757...
%t A195705 r = Sqrt[3/8];
%t A195705 N[ArcSin[r], 100]
%t A195705 RealDigits[%]  (* A195700 *)
%t A195705 N[ArcCos[r], 100]
%t A195705 RealDigits[%]  (* A195703 *)
%t A195705 N[ArcTan[r], 100]
%t A195705 RealDigits[%]  (* A195705 *)
%t A195705 N[ArcCos[-r], 100]
%t A195705 RealDigits[%]  (* A195706 *)
%o A195705 (PARI) atan(sqrt(3/8)) \\ _G. C. Greubel_, Nov 18 2017
%o A195705 (Magma) [Arctan(Sqrt(3/8))]; // _G. C. Greubel_, Nov 18 2017
%Y A195705 Cf. A195700.
%K A195705 nonn,cons
%O A195705 0,1
%A A195705 _Clark Kimberling_, Sep 23 2011