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%I #13 Apr 10 2021 11:32:12
%S 2,4,6,1,0,2,9,2,2,1,4,8,3,2,8,7,4,2,4,5,6,8,5,9,8,7,6,6,1,2,9,7,1,4,
%T 4,1,5,1,6,9,6,5,4,9,7,2,0,3,9,6,7,0,0,8,6,9,7,8,9,2,8,0,1,9,4,2,3,5,
%U 1,3,2,8,9,4,3,2,9,1,2,9,0,7,3,4,1,2,3,8,0,2,5,4,3,1,8,6,5,3,2
%N Decimal expansion of least x > 0 having sin(Pi*x/3) = sin(x/3)^2.
%C 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.
%e x=2.4610292214832874245685987661297144151696549720...
%t b = Pi/3; c = 1/3; f[x_] := Sin[x]
%t t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 2, 2.5}, WorkingPrecision -> 200]
%t RealDigits[t] (* A197388 *)
%t Plot[{f[b*x], f[c*x]^2}, {x, 0, 3}]
%Y Cf. A197133.
%K nonn,cons
%O 1,1
%A _Clark Kimberling_, Oct 14 2011
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