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

1,2

Links

Table of n, a(n) for n=1..100.

Formula

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

Example

arctan(10) = 1.471127674303734591852875571761730851855306377...

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 *)

Prog

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

Crossrefs

Cf. A195790, A195791, A195792, A195793.

Sequence in context: A303173 A285778 A147864 * A367608 A021959 A188735

Adjacent sequences: A195786 A195787 A195788 * A195790 A195791 A195792

Keyword

nonn,cons

Author

Clark Kimberling, Sep 24 2011

Status

approved