A195774 - OEIS

%I #29 Nov 21 2024 08:12:03

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

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

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

%N Decimal expansion of arccot(6).

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

%F Equals Integral_{x >= 0} exp(-6*x)*sin(x)/x dx. - _Peter Bala_, Nov 05 2019

%F From _Amiram Eldar_, Jun 05 2021: (Start)

%F Equals Pi/2 - A195773.

%F Equals arcsin(1/sqrt(37)) = arccos(6/sqrt(37)) = arctan(1/6). (End)

%e 0.16514867741462683827912828964394345399...

%t N[ArcCot[6], 108]

%t RealDigits[%] (* _Felix Fröhlich_, Jun 05 2021 *)

%o (PARI) atan(1/6) \\ _Michel Marcus_, Jun 05 2021

%Y Cf. A195773.

%K nonn,cons

%O 0,2

%A _Clark Kimberling_, Sep 24 2011

%E a(99) corrected by _Georg Fischer_, Jul 10 2021