|
|
A197262
|
|
Decimal expansion of least x>0 having sin(3x)=(sin 4x)^2.
|
|
2
|
|
|
2, 3, 2, 3, 1, 0, 4, 3, 1, 5, 9, 3, 4, 5, 8, 2, 0, 4, 7, 8, 4, 2, 9, 1, 7, 6, 3, 5, 0, 2, 3, 9, 4, 5, 0, 7, 9, 7, 2, 1, 8, 7, 9, 5, 1, 0, 5, 1, 9, 9, 5, 3, 9, 4, 3, 9, 4, 9, 8, 2, 5, 8, 9, 4, 7, 2, 2, 7, 7, 1, 1, 5, 9, 7, 1, 6, 0, 9, 3, 1, 9, 5, 2, 6, 3, 4, 0, 1, 4, 2, 0, 3, 1, 2, 3, 3, 0, 2, 2, 9
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
COMMENTS
|
The Mathematica program includes a graph. See A197133 for a guide to least x>0 satisfying sin(b*x)=(sin(c*x))^2 for selected b and c.
|
|
LINKS
|
|
|
EXAMPLE
|
x=0.2323104315934582047842917635023945079...
|
|
MATHEMATICA
|
b = 3; c = 4; f[x_] := Sin[x]
t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .2, .3}, WorkingPrecision -> 100]
Plot[{f[b*x], f[c*x]^2}, {x, 0, Pi/2}]
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|