A195730 Decimal expansion of arctan(sqrt(10)).

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

Offset

1,2

Links

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

Formula

Equals arcsin(sqrt(10/11)) = arccos(sqrt(1/11)). - Amiram Eldar, Jul 10 2023

Example

arctan(sqrt(10)) = 1.2645189576252271631...

Mathematica

r = Sqrt[10]; N[ArcTan[r], 100]
RealDigits[%]  (* A195730 *)

Prog

(PARI) atan(sqrt(10)) \\ G. C. Greubel, Aug 20 2018
(Magma) SetDefaultRealField(RealField(100)); Arctan(Sqrt(10)); // G. C. Greubel, Aug 20 2018

Crossrefs

Sequence in context: A087428 A115508 A348669 * A222236 A351001 A334171

Adjacent sequences: A195727 A195728 A195729 * A195731 A195732 A195733

Keyword

nonn,cons

Author

Clark Kimberling, Sep 23 2011

Status

approved