OFFSET
-1,1
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
0.0205480421717743187035418453845848004410...
MATHEMATICA
b = 1; c = 7; f[x_] := Sin[x]
t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .01, .1}, WorkingPrecision -> 100]
RealDigits[t] (* A197253 *)
Plot[{f[b*x], f[c*x]^2}, {x, 0, Pi}]
PROG
(PARI) solve(x=.01, .03, sin(x)-sin(7*x)^2) \\ Charles R Greathouse IV, Dec 28 2011
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 12 2011
STATUS
approved