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
0.13665119217057239495697601788590546...
MATHEMATICA
b = 3; c = 5; f[x_] := Sin[x]
t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .1, .3}, WorkingPrecision -> 100]
RealDigits[t] (* A197263 *)
Plot[{f[b*x], f[c*x]^2}, {x, 0, 1}]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 12 2011
EXTENSIONS
a(99) corrected and more terms from Georg Fischer, Jul 28 2021
STATUS
approved