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=0.4599755354050940320651507516304768327270591...
MATHEMATICA
b = 4; c = 3; f[x_] := Sin[x]
t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .4, .5}, WorkingPrecision -> 100]
RealDigits[t] (* A197268 *)
Plot[{f[b*x], f[c*x]^2}, {x, 0, Pi/2}]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 12 2011
STATUS
approved