OFFSET
0,3
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
x=0.115402267387127882859236747957368...
MATHEMATICA
b = 1; c = 3; f[x_] := Sin[x]
t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .1, .3}, WorkingPrecision -> 100]
RealDigits[t] (* A197134 *)
Plot[{f[b*x], f[c*x]^2}, {x, 0, Pi}]
RealDigits[ ArcCos[ Root[ 17 - 112 #^2 + 352 #^4 - 512 #^6 + 256 #^8 &, 4]], 10, 100] // First (* Jean-François Alcover, Feb 19 2013 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 12 2011
EXTENSIONS
Digits from a(79) on corrected by Jean-François Alcover, Feb 19 2013
STATUS
approved