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=0.6346640839769854244680925748518944036989356...

MATHEMATICA

b = Pi; c = 2; f[x_] := Sin[x]

t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .63, .64}, WorkingPrecision -> 200]

RealDigits[t] (* A197577 *)

Plot[{f[b*x], f[c*x]^2}, {x, 0, 1}]

CROSSREFS

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 16 2011

STATUS

approved