A195701 Decimal expansion of arctan(sqrt(2/3)).

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

Offset: 0

Author

Clark Kimberling, Sep 23 2011

Keywords

• nonn
• cons

Examples

			arctan(sqrt(2/3)) = 0.68471920300...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 0..5000
• Index entries for transcendental numbers

Crossrefs

Cf. A195695, A195695, A195702.

Programs

Magma

[Arctan(Sqrt(2/3))]; // G. C. Greubel, Nov 18 2017

Mathematica

r = Sqrt[2/3];
N[ArcSin[r], 100]
RealDigits[%]  (* A195696 *)
N[ArcCos[r], 100]
RealDigits[%]  (* A195695 *)
N[ArcTan[r], 100]
RealDigits[%]  (* A195701 *)
N[ArcCos[-r], 100]
RealDigits[%]  (* A195702 *)

PARI

atan(sqrt(2/3)) \\ G. C. Greubel, Nov 18 2017

Formula

Equals arcsin(sqrt(2/5)) = arccos(sqrt(3/5)). - Amiram Eldar, Jul 10 2023