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.
EXAMPLE
x=0.0577011336935639414296183739786...
MATHEMATICA
b = 2; c = 6; f[x_] := Sin[x]
t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .05, .07}, WorkingPrecision -> 100]
RealDigits[t] (* A197257 *)
Plot[{f[b*x], f[c*x]^2}, {x, 0, Pi/4}]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 12 2011
EXTENSIONS
a(100) corrected by Sean A. Irvine, Sep 08 2021
STATUS
approved