A195728 Decimal expansion of arctan(sqrt(6)).

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

Offset

1,3

Comments

The phase shift of the transfer function of the last RC stage in a phase shift oscillator operating at the frequency of 1/(2*Pi*sqrt(6)*R*C), where R and C indicate respectively the resistance of the resistor and the capacitance of the capacitor. - Stefano Spezia, May 20 2023

Links

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

Formula

Equals arcsin(sqrt(6/7)) = arccos(sqrt(1/7)). - Amiram Eldar, Jul 08 2023

Example

1.18319964013971596562...

Mathematica

r = Sqrt[6]; N[ArcTan[r], 100]
RealDigits[%]  (* A195728 *)

Prog

(PARI) atan(sqrt(6)) \\ G. C. Greubel, Aug 20 2018
(Magma) SetDefaultRealField(RealField(100)); Arctan(Sqrt(6)); // G. C. Greubel, Aug 20 2018

Crossrefs

Sequence in context: A056030 A364889 A195473 * A214406 A176454 A199380

Adjacent sequences: A195725 A195726 A195727 * A195729 A195730 A195731

Keyword

nonn,cons

Author

Clark Kimberling, Sep 23 2011

Status

approved