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A195727 Decimal expansion of arccot(4). 5

%I #23 Jul 11 2023 08:11:26

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

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

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

%N Decimal expansion of arccot(4).

%H G. C. Greubel, <a href="/A195727/b195727.txt">Table of n, a(n) for n = 0..10000</a>

%F Equals Integral_{x >= 0} exp(-4*x)*sin(x)/x dx. - _Peter Bala_, Nov 05 2019

%F Equals arcsin(1/sqrt(17)) = arccos(4/sqrt(17)) = arctan(1/4). - _Amiram Eldar_, Jul 11 2023

%e arccot(4) = 0.24497866312686...

%t (See A195628.)

%t RealDigits[ArcCot[4],10,120][[1]] (* _Harvey P. Dale_, Jan 09 2015 *)

%o (PARI) atan(1/4) \\ _G. C. Greubel_, Aug 20 2018

%o (Magma) SetDefaultRealField(RealField(100)); Arccot(4) // _G. C. Greubel_, Aug 20 2018

%Y Cf. A195628.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Sep 23 2011

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