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Decimal expansion of arccos((1/2)^(2/3)).
2

%I #13 Nov 21 2024 07:54:56

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

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

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

%N Decimal expansion of arccos((1/2)^(2/3)).

%H G. C. Greubel, <a href="/A195717/b195717.txt">Table of n, a(n) for n = 0..10000</a>

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

%e arccos((1/2)^(2/3)) = 0.8892939451134830782754582594808563...

%t r = (1/2)^(2/3);

%t N[ArcCos[r], 100]

%t RealDigits[%] (* A195717 *)

%t RealDigits[ArcCos[(1/2)^(2/3)], 10, 100][[1]] (* _G. C. Greubel_, Aug 20 2018 *)

%o (PARI) acos((1/2)^(2/3)) \\ _G. C. Greubel_, Aug 20 2018

%o (Magma) SetDefaultRealField(RealField(100)); Arccos((1/2)^(2/3)); // _G. C. Greubel_, Aug 20 2018

%Y Cf. A195716.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Sep 23 2011