|
|
A199872
|
|
Decimal expansion of x>0 satisfying 4*x^2-4*x*cos(x)=3*sin(x).
|
|
2
|
|
|
1, 0, 8, 1, 7, 9, 0, 0, 5, 1, 2, 8, 5, 1, 3, 0, 2, 4, 7, 3, 7, 2, 6, 8, 1, 8, 4, 7, 8, 0, 5, 4, 1, 1, 4, 5, 9, 0, 3, 4, 2, 0, 2, 6, 1, 6, 8, 3, 4, 7, 9, 3, 1, 2, 5, 8, 4, 7, 6, 0, 4, 2, 2, 9, 9, 2, 2, 8, 3, 3, 4, 5, 3, 6, 0, 3, 3, 3, 0, 6, 2, 8, 6, 1, 4, 9, 0, 4, 9, 6, 8, 7, 9, 0, 1, 5, 7, 9, 9
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,3
|
|
COMMENTS
|
See A199597 for a guide to related sequences. The Mathematica program includes a graph.
|
|
LINKS
|
|
|
EXAMPLE
|
x=1.0817900512851302473726818478054114590342026...
|
|
MATHEMATICA
|
a = 4; b = -4; c = 3;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.08, 1.09}, WorkingPrecision -> 110]
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|