|
|
A197258
|
|
Decimal expansion of least x>0 having sin(2x) = sin(7x)^2.
|
|
2
|
|
|
0, 4, 1, 9, 6, 1, 4, 0, 5, 6, 7, 7, 5, 6, 5, 8, 5, 0, 8, 5, 6, 3, 0, 0, 3, 6, 1, 6, 5, 8, 7, 5, 4, 1, 2, 3, 6, 9, 2, 8, 2, 8, 5, 7, 1, 3, 6, 7, 0, 1, 3, 4, 1, 4, 0, 0, 9, 3, 9, 3, 3, 1, 9, 0, 6, 1, 8, 4, 6, 7, 5, 0, 3, 0, 8, 5, 6, 8, 4, 5, 1, 7, 5, 7, 7, 7, 9
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
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=0.0419614056775658508563003616587541236...
|
|
MATHEMATICA
|
b = 2; c = 7; f[x_] := Sin[x]
t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .03, .05}, WorkingPrecision -> 100]
Plot[{f[b*x], f[c*x]^2}, {x, 0, .06}]
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|