A195725 Decimal expansion of arctan(sqrt(5/6)).

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

Offset: 0

Author

Clark Kimberling, Sep 23 2011

Keywords

• nonn
• cons

Examples

			arctan(sqrt(5/6)) = 0.7398807743787407668731810834348...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 0..10000
• Index entries for transcendental numbers

Crossrefs

Cf. A195719, A195720, A195726.

Programs

Magma

SetDefaultRealField(RealField(100)); Arctan(Sqrt(5/6)); // G. C. Greubel, Aug 20 2018

Mathematica

r = Sqrt[5/6];
N[ArcSin[r], 100]
RealDigits[%] (* A195720 *)
N[ArcCos[r], 100]
RealDigits[%] (* A195719 *)
N[ArcTan[r], 100]
RealDigits[%] (* A195725 *)
N[ArcCos[-r], 100]
RealDigits[%] (* A195726 *)

PARI

atan(sqrt(5/6)) \\ G. C. Greubel, Aug 20 2018

Formula

Equals arcsin(sqrt(5/11)) = arccos(sqrt(6/11)). - Amiram Eldar, Jul 06 2023