|
|
A201287
|
|
Decimal expansion of x satisfying x^2 + 8 = cot(x) and 0 < x < Pi.
|
|
2
|
|
|
1, 2, 4, 1, 1, 8, 4, 3, 7, 1, 3, 0, 1, 3, 1, 7, 6, 5, 2, 3, 8, 5, 3, 9, 4, 2, 3, 1, 8, 7, 7, 4, 2, 1, 1, 4, 1, 4, 0, 4, 6, 1, 4, 5, 1, 4, 6, 6, 1, 9, 0, 6, 0, 0, 3, 0, 6, 0, 7, 0, 1, 1, 8, 3, 6, 3, 2, 8, 7, 3, 4, 2, 8, 2, 1, 4, 1, 6, 2, 4, 7, 0, 2, 3, 9, 3, 1, 2, 4, 4, 5, 6, 9, 2, 1, 1, 0, 4, 4
(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
|
|
|
EXAMPLE
|
x=0.124118437130131765238539423187742114...
|
|
MATHEMATICA
|
a = 1; c = 8;
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]
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|