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.
EXAMPLE
x=0.2884494165124615288379463595713871639151750...
MATHEMATICA
b = Pi/3; c = 2; f[x_] := Sin[x]
t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 0.2, 0.4}, WorkingPrecision -> 200]
RealDigits[t] (* A197385 *)
Plot[{f[b*x], f[c*x]^2}, {x, 0, 1.2}]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 14 2011
STATUS
approved