

A201285


Decimal expansion of x satisfying x^2 + 6 = cot(x) and 0 < x < Pi.


2



1, 6, 4, 4, 2, 1, 2, 0, 9, 0, 5, 0, 2, 9, 5, 4, 7, 0, 9, 4, 1, 5, 2, 9, 9, 9, 5, 0, 6, 8, 4, 2, 9, 6, 1, 7, 2, 8, 4, 9, 7, 1, 8, 1, 9, 5, 7, 2, 0, 0, 9, 7, 1, 9, 5, 2, 1, 1, 9, 3, 7, 0, 0, 4, 9, 2, 3, 5, 1, 6, 7, 5, 6, 3, 5, 5, 2, 3, 7, 7, 9, 4, 9, 1, 3, 0, 0, 7, 5, 3, 6, 1, 2, 5, 5, 4, 4, 6, 6
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

0,2


COMMENTS

See A201280 for a guide to related sequences. The Mathematica program includes a graph.


LINKS

Table of n, a(n) for n=0..98.


EXAMPLE

0.16442120905029547094152999506842961...


MATHEMATICA

a = 1; c = 6;
f[x_] := a*x^2 + c; g[x_] := Cot[x]
Plot[{f[x], g[x]}, {x, 0, Pi/2}, {AxesOrigin > {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .1, .2}, WorkingPrecision > 110]
RealDigits[r] (* A201285 *)


CROSSREFS

Cf. A201280.
Sequence in context: A095156 A198550 A029680 * A317127 A195359 A338303
Adjacent sequences: A201282 A201283 A201284 * A201286 A201287 A201288


KEYWORD

nonn,cons


AUTHOR

Clark Kimberling, Nov 29 2011


EXTENSIONS

Offset and a(83) onwards corrected by Georg Fischer, Aug 03 2021


STATUS

approved



