A195790 - OEIS

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

(list; constant; graph; refs; listen; history; text; internal format)

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.

Index entries for transcendental numbers

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.)

PROG

(PARI) atan(.1) \\ Charles R Greathouse IV, Nov 21 2024

CROSSREFS