|
|
A201320
|
|
Decimal expansion of x satisfying 2*x^2 - 1 = cot(x) and 0 < x < Pi.
|
|
2
|
|
|
9, 3, 3, 0, 2, 7, 6, 7, 4, 6, 6, 6, 1, 7, 7, 2, 5, 5, 9, 0, 6, 8, 7, 9, 1, 3, 5, 6, 1, 3, 0, 5, 1, 0, 6, 5, 4, 1, 1, 9, 0, 4, 1, 2, 7, 1, 1, 1, 3, 6, 0, 9, 4, 0, 9, 5, 0, 9, 0, 2, 0, 6, 6, 2, 6, 0, 2, 2, 1, 7, 4, 7, 3, 3, 3, 4, 1, 4, 5, 0, 0, 9, 1, 1, 2, 2, 1, 6, 8, 9, 6, 9, 7, 3, 6, 3, 0, 7, 2
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
COMMENTS
|
See A201280 for a guide to related sequences. The Mathematica program includes a graph.
|
|
LINKS
|
|
|
EXAMPLE
|
x=0.93302767466617725590687913561305106...
|
|
MATHEMATICA
|
a = 2; c = -1;
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, .9, 1.0}, WorkingPrecision -> 110]
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|