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
x=2.1144982940974003549475935426515568442931... [corrected by Georg Fischer, Jul 28 2021]
MATHEMATICA
b = Pi/3; c = Pi/6; f[x_] := Sin[x]
t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 2.3, 2.6}, WorkingPrecision -> 200]
RealDigits[t] (* A197380 *)
Plot[{f[b*x], f[c*x]^2}, {x, 0, 2.7}]
RealDigits[ 6*ArcCos[1/Sqrt[5]]/Pi, 10, 99] // First (* Jean-François Alcover, Feb 19 2013 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 14 2011
STATUS
approved