A195790 Decimal expansion of arccot(10).

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

Offset

0,2

Links

Table of n, a(n) for n=0..99.

Sanjar M. Abrarov, Rehan Siddiqui, Rajinder K. Jagpal, and Brendan M. Quine, A New Form of the Machin-like Formula for Pi by Iteration with Increasing Integers, Journal of Integer Sequences, Vol. 25 (2022), Article 22.4.5. See (22) p. 9.

Formula

Equals Integral_{x >= 0} exp(-10*x)*sin(x)/x dx. - Peter Bala, Nov 05 2019

Equals (Pi+4*arctan( 1758719 / 147153121 ))/32. - Frank Ellermann, Mar 14 2020

Equals arcsin(1/sqrt(101)) = arccos(10/sqrt(101)). - Amiram Eldar, Jul 11 2023

Example

arccot(10) = 0.099668652491162027378446119878020590243278322504...

Mathematica

(See A195789.)

Crossrefs

Cf. A195789.

Sequence in context: A346445 A146487 A346442 * A346444 A085984 A335011

Adjacent sequences: A195787 A195788 A195789 * A195791 A195792 A195793

Keyword

nonn,cons

Author

Clark Kimberling, Sep 24 2011

Status

approved