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%I #12 Apr 10 2021 11:48:32
%S 2,9,9,8,8,7,3,7,3,2,3,3,1,8,9,8,6,2,1,7,7,6,8,5,1,9,0,3,1,3,9,1,6,1,
%T 0,2,1,9,0,2,4,5,5,2,2,8,6,7,3,2,7,1,9,5,4,0,2,6,0,1,4,1,6,1,9,5,0,6,
%U 8,4,6,1,8,6,6,1,4,4,9,9,7,3,2,2,8,5,1,0,3,2,9,6,2,7,6,4,0,3,8
%N Decimal expansion of least x > 0 having sin(Pi*x/4) = 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=2.998873732331898621776851903139161021...
%t b = Pi/4; c = 1/3; f[x_] := Sin[x]
%t t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 2.95, 3.0}, WorkingPrecision -> 200]
%t RealDigits[t](* A197394 *)
%t Plot[{f[b*x], f[c*x]^2}, {x, 0, 3.1}]
%Y Cf. A197133.
%K nonn,cons
%O 1,1
%A _Clark Kimberling_, Oct 14 2011
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