A195789 Decimal expansion of arctan(10).

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

Offset: 1

Author

Clark Kimberling, Sep 24 2011

Keywords

• nonn
• cons

Examples

			arctan(10) = 1.471127674303734591852875571761730851855306377...
		

Links

• Index entries for transcendental numbers

Crossrefs

Cf. A195790, A195791, A195792, A195793.

Programs

Mathematica

r = 10;
N[ArcTan[r], 100]
RealDigits[%]  (* A195789 *)
N[ArcCot[r], 100]
RealDigits[%]  (* A195790 *)
N[ArcSec[r], 100]
RealDigits[%]  (* A195791 *)
N[ArcCsc[r], 100]
RealDigits[%]  (* A195792 *)
RealDigits[ArcTan[10],10,120][[1]] (* Harvey P. Dale, Dec 27 2022 *)

PARI

atan(10) \\ Charles R Greathouse IV, Mar 24 2021

Formula

Equals arcsin(10/sqrt(101)) = arccos(1/sqrt(101)). - Amiram Eldar, Jul 11 2023