A195782 - OEIS

%I #16 Nov 21 2024 08:11:04

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

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

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

%N Decimal expansion of arccot(8).

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

%F Equals Integral_{x = 0..inf} exp(-8*x)*sin(x)/x dx. - _Peter Bala_, Nov 05 2019

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

%e arccot(8)=0.124354994546761435031354849163871025573170...

%t (See A195781.)

%t RealDigits[ArcCot[8],10,120][[1]] (* _Harvey P. Dale_, Nov 09 2014 *)

%o (PARI) atan(1/8) \\ _Charles R Greathouse IV_, Nov 21 2024

%Y Cf. A195781.

%K nonn,cons

%O 0,2

%A _Clark Kimberling_, Sep 24 2011