A195705 Decimal expansion of arctan(sqrt(3/8)).

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

Offset: 0

Author

Clark Kimberling, Sep 23 2011

Keywords

• nonn
• cons

Examples

			arctan(sqrt(3/8)) = 0.549467244757...
		

Links

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

Crossrefs

Cf. A195700.

Programs

Magma

[Arctan(Sqrt(3/8))]; // G. C. Greubel, Nov 18 2017

Mathematica

r = Sqrt[3/8];
N[ArcSin[r], 100]
RealDigits[%]  (* A195700 *)
N[ArcCos[r], 100]
RealDigits[%]  (* A195703 *)
N[ArcTan[r], 100]
RealDigits[%]  (* A195705 *)
N[ArcCos[-r], 100]
RealDigits[%]  (* A195706 *)

PARI

atan(sqrt(3/8)) \\ G. C. Greubel, Nov 18 2017

Formula

Equals arcsin(sqrt(3/11)) = arccos(2*sqrt(2/11)). - Amiram Eldar, Jul 09 2023