A195721 Decimal expansion of arctan(sqrt(1/6)).

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

Offset: 0

Author

Clark Kimberling, Sep 23 2011

Keywords

• nonn
• cons

Examples

			arctan(sqrt(1/6)) = 0.387596686655180...
		

Links

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

Crossrefs

Cf. A195720.

Programs

Magma

SetDefaultRealField(RealField(100)); Arctan(Sqrt(1/6)); // G. C. Greubel, Aug 20 2018

Mathematica

RealDigits[ArcTan[Sqrt[1/6]],10,120][[1]] (* Harvey P. Dale, Nov 09 2011 *)

PARI

atan(sqrt(1/6)) \\ G. C. Greubel, Aug 20 2018

Formula

Equals arcsin(sqrt(1/7)) = arccos(sqrt(6/7)). - Amiram Eldar, Jul 06 2023

Extensions

Corrected by Harvey P. Dale, Nov 09 2011