A195727 Decimal expansion of arccot(4).

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

Offset

0,1

Links

G. C. Greubel, Table of n, a(n) for n = 0..10000

Formula

Equals Integral_{x >= 0} exp(-4*x)*sin(x)/x dx. - Peter Bala, Nov 05 2019

Equals arcsin(1/sqrt(17)) = arccos(4/sqrt(17)) = arctan(1/4). - Amiram Eldar, Jul 11 2023

Example

arccot(4) = 0.24497866312686...

Mathematica

(See A195628.)
RealDigits[ArcCot[4], 10, 120][[1]] (* Harvey P. Dale, Jan 09 2015 *)

Prog

(PARI) atan(1/4) \\ G. C. Greubel, Aug 20 2018
(Magma) SetDefaultRealField(RealField(100)); Arccot(4) // G. C. Greubel, Aug 20 2018

Crossrefs

Cf. A195628.

Sequence in context: A227906 A366974 A346004 * A256701 A340714 A292381

Adjacent sequences: A195724 A195725 A195726 * A195728 A195729 A195730

Keyword

nonn,cons

Author

Clark Kimberling, Sep 23 2011

Status

approved