A195628 Decimal expansion of arctan(4).

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

Offset: 1

Author

Clark Kimberling, Sep 23 2011

Keywords

• nonn
• cons

Examples

			arctan(4) = 1.3258176636680324650592392104284756311844406013...
		

Links

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

Crossrefs

Cf. A195727, A195731, A195621.

Programs

Magma

SetDefaultRealField(RealField(125)); Arctan(4); // G. C. Greubel, Apr 13 2023

Mathematica

r = 4;
N[ArcTan[r], 100]
RealDigits[%]  (* A195628 *)
N[ArcCot[r], 100]
RealDigits[%]  (* A195727 *)
N[ArcSec[r], 100]
RealDigits[%]  (* A195731 *)
N[ArcCsc[r], 100]
RealDigits[%]  (* A195621 *)

PARI

atan(4) \\ Charles R Greathouse IV, Nov 20 2024

SageMath

numerical_approx( arctan(4), digits=125) # G. C. Greubel, Apr 13 2023

Formula

Equals arcsin(4/sqrt(17)) = arccos(1/sqrt(17)). - Amiram Eldar, Jul 11 2023