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A195710 Decimal expansion of arccos(-sqrt(2/5)). 3

%I #15 Jul 08 2023 04:11:03

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

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

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

%N Decimal expansion of arccos(-sqrt(2/5)).

%H G. C. Greubel, <a href="/A195710/b195710.txt">Table of n, a(n) for n = 1..5000</a>

%F Equals Pi - arcsin(sqrt(3/5)) = Pi - arctan(sqrt(3/2)). - _Amiram Eldar_, Jul 08 2023

%e arccos(-sqrt(2/5)) = 2.25551552979717...

%t r = Sqrt[1/5]; s = Sqrt[2/5];

%t N[ArcSin[r], 100]

%t RealDigits[%] (* A073000 *)

%t N[ArcCos[r], 100]

%t RealDigits[%] (* A105199 *)

%t N[ArcTan[r], 100]

%t RealDigits[%] (* A188595 *)

%t N[ArcCos[-r], 100]

%t RealDigits[%] (* A137218 *)

%t N[ArcSin[s], 100]

%t RealDigits[%] (* A195701 *)

%t N[ArcCos[s], 100]

%t RealDigits[%] (* A195708 *)

%t N[ArcTan[s], 100]

%t RealDigits[%] (* A195709 *)

%t N[ArcCos[-s], 100]

%t RealDigits[%] (* A195710 *)

%t RealDigits[ArcCos[-Sqrt[(2/5)]],10,120][[1]] (* _Harvey P. Dale_, Apr 06 2023 *)

%o (PARI) acos(-sqrt(2/5)) \\ _G. C. Greubel_, Nov 18 2017

%o (Magma) [Arccos(-Sqrt(2/5))]; // _G. C. Greubel_, Nov 18 2017

%Y Cf. A195708, A195701.

%K nonn,cons

%O 1,1

%A _Clark Kimberling_, Sep 23 2011

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Last modified April 19 12:14 EDT 2024. Contains 371792 sequences. (Running on oeis4.)