A195729 Decimal expansion of arctan(3).

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

Offset: 1

Author

Clark Kimberling, Sep 23 2011

Keywords

• nonn
• cons

Examples

			arctan(3) = 1.2490457723982544258299170772...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 1..10000
• Index entries for transcendental numbers

Crossrefs

Cf. A105531, A137914, A188615.

Programs

Magma

SetDefaultRealField(RealField(100)); Arctan(3); // G. C. Greubel, Aug 20 2018

Mathematica

r = 3;
N[ArcTan[r], 100]
RealDigits[%]  (* A195729 *)
N[ArcCot[r], 100]
RealDigits[%]  (* A105531 *)
N[ArcSec[r], 100]
RealDigits[%]  (* A137914 *)
N[ArcCsc[r], 100]
RealDigits[%]  (* A188615 *)

PARI

atan(3) \\ Charles R Greathouse IV, Sep 23 2014

Formula

Equals arctan(1) + arctan(1/2). - Charles R Greathouse IV, Sep 23 2014

Equals arcsin(3/sqrt(10)) = arccos(sqrt(1/10)). - Amiram Eldar, Jul 11 2023