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A195728 Decimal expansion of arctan(sqrt(6)). 1

%I #21 Jul 08 2023 04:11:49

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

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

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

%N Decimal expansion of arctan(sqrt(6)).

%C The phase shift of the transfer function of the last RC stage in a phase shift oscillator operating at the frequency of 1/(2*Pi*sqrt(6)*R*C), where R and C indicate respectively the resistance of the resistor and the capacitance of the capacitor. - _Stefano Spezia_, May 20 2023

%H G. C. Greubel, <a href="/A195728/b195728.txt">Table of n, a(n) for n = 1..10000</a>

%F Equals arcsin(sqrt(6/7)) = arccos(sqrt(1/7)). - _Amiram Eldar_, Jul 08 2023

%e 1.18319964013971596562...

%t r = Sqrt[6]; N[ArcTan[r], 100]

%t RealDigits[%] (* A195728 *)

%o (PARI) atan(sqrt(6)) \\ _G. C. Greubel_, Aug 20 2018

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

%K nonn,cons

%O 1,3

%A _Clark Kimberling_, Sep 23 2011

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Last modified March 28 12:26 EDT 2024. Contains 371254 sequences. (Running on oeis4.)