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A195716 Decimal expansion of arcsin((1/2)^(2/3)).

%I A195716 #11 Nov 21 2024 07:42:39
%S A195716 6,8,1,5,0,2,3,8,1,6,8,1,4,1,3,5,4,0,9,5,5,8,6,3,4,3,2,1,5,8,8,9,5,0,
%T A195716 6,0,5,5,9,3,7,4,2,4,7,2,1,8,3,3,7,6,3,7,0,2,2,7,2,2,2,5,4,1,3,2,0,7,
%U A195716 7,2,8,3,0,1,9,7,1,4,1,3,5,6,9,4,3,5,9,7,9,7,4,9,5,0,9,0,6,4,2,2
%N A195716 Decimal expansion of arcsin((1/2)^(2/3)).
%H A195716 G. C. Greubel, <a href="/A195716/b195716.txt">Table of n, a(n) for n = 0..10000</a>
%H A195716 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%e A195716 arcsin((1/2)^(2/3)) = 0.6815023816814...
%t A195716 r = (1/2)^(2/3);
%t A195716 N[ArcSin[r], 100]
%t A195716 RealDigits[%]  (* A195716 *)
%t A195716 N[ArcCos[r], 100]
%t A195716 RealDigits[%]  (* A195717 *)
%t A195716 N[ArcTan[r], 100]
%t A195716 RealDigits[%]  (* A195718 *)
%t A195716 N[ArcCos[-r], 100]
%t A195716 RealDigits[%]  (* A195719 *)
%o A195716 (PARI) asin((1/2)^(2/3)) \\ _G. C. Greubel_, Aug 20 2018
%o A195716 (Magma) SetDefaultRealField(RealField(100)); Arcsin((1/2)^(2/3)); // _G. C. Greubel_, Aug 20 2018
%Y A195716 Cf. A195717, A195718, A195719, A195712.
%K A195716 nonn,cons
%O A195716 0,1
%A A195716 _Clark Kimberling_, Sep 23 2011