OFFSET
1,1
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=2.17316813153036543486342704286010276...
MATHEMATICA
b = 1; c = Pi/6; f[x_] := Sin[x]
t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 2, 2.5}, WorkingPrecision -> 200]
RealDigits[t] (* A197328 *)
Plot[{f[b*x], f[c*x]^2}, {x, 0, 2.5}]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 13 2011
STATUS
approved