A195724 Decimal expansion of arctan(sqrt(12)).

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

Offset

1,2

Links

G. C. Greubel, Table of n, a(n) for n = 1..10000

Formula

Equals arcsin(sqrt(12/13)) = arccos(sqrt(1/13)). - Amiram Eldar, Jul 04 2023

Example

1.289761425292083021511306741277...

Mathematica

r = Sqrt[12]; N[ArcTan[r], 100]
RealDigits[%]  (* A195724 *)
RealDigits[ArcTan[2*Sqrt[3]], 10, 100][[1]] (* G. C. Greubel, Aug 20 2018 *)

Prog

(PARI) atan(2*sqrt(3)) \\ G. C. Greubel, Aug 20 2018
(Magma) SetDefaultRealField(RealField(100)); Arctan(2*Sqrt(3)); // G. C. Greubel, Aug 20 2018

Crossrefs

Sequence in context: A340536 A340778 A108744 * A081819 A296850 A021349

Adjacent sequences: A195721 A195722 A195723 * A195725 A195726 A195727

Keyword

nonn,cons

Author

Clark Kimberling, Sep 23 2011

Status

approved