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.
FORMULA
Equals 2*A105199. - R. J. Mathar, Aug 27 2024
EXAMPLE
x=2.2142974355881810060341309203570740...
MATHEMATICA
b = 1; c = 1/2; f[x_] := Sin[x]
t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 2, 2.5}, WorkingPrecision -> 200]
RealDigits[t] (* *)
Plot[{f[b*x], f[c*x]^2}, {x, 0, 2.5}]
RealDigits[ 2*ArcCos[ 1/Sqrt[5] ], 10, 99] // First (* Jean-François Alcover, Feb 19 2013 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 14 2011
STATUS
approved