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Decimal expansion of arctan(8).
3

%I #17 Nov 20 2024 23:45:39

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

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

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

%N Decimal expansion of arctan(8).

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

%F Equals arccot(1/8) = arcsin(8/sqrt(65)) = arccos(1/sqrt(65)). - _Amiram Eldar_, May 24 2021

%F Equals arctan(1) + arctan(1/2) + arctan(1/5). - _Amiram Eldar_, Jan 11 2022

%e arctan(8) = 1.4464413322481351841999668424758804165254145079...

%t r = 8;

%t N[ArcTan[r], 100]

%t RealDigits[%][[1]]

%o (PARI) atan(8) \\ _Charles R Greathouse IV_, Nov 20 2024

%Y Cf. A195782, A195783, A195784.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Sep 24 2011