OFFSET
0,1
COMMENTS
The Mathematica program includes a graph. See A197476 for a guide for the least x > 0 satisfying cos(b*x) = cos(c*x)^2 for selected b and c.
EXAMPLE
x=0.820343073827762474856199588709904805056551...
MATHEMATICA
b = Pi; c = 1; f[x_] := Sin[x]
t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .8, .9}, WorkingPrecision -> 200]
RealDigits[t] (* A197576 *)
Plot[{f[b*x], f[c*x]^2}, {x, 0, Pi}]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 16 2011
STATUS
approved