OFFSET
1,2
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=1.566023613622289702303820823948946110500...
MATHEMATICA
b = 1; c = Pi/3; f[x_] := Cos[x]
t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 1.5, 1.6}, WorkingPrecision -> 110]
RealDigits[t] (* A197494 *)
Plot[{f[b*x], f[c*x]^2}, {x, 0, 2}]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 15 2011
STATUS
approved