OFFSET
0,3
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=0.104875999711743873968413894326481617617881...
MATHEMATICA
b = 1; c = Pi; f[x_] := Sin[x]
t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .1, .11}, WorkingPrecision -> 200]
RealDigits[t] (* A197574 *)
Plot[{f[b*x], f[c*x]^2}, {x, 0, 0.2}]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 16 2011
STATUS
approved