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%I #14 Jul 28 2021 04:12:59
%S 1,3,6,4,8,5,9,2,4,6,1,8,4,1,2,4,7,5,2,0,4,3,0,8,4,0,3,0,4,1,9,3,4,9,
%T 1,5,5,2,3,7,0,3,3,2,5,9,8,3,2,2,0,0,9,1,3,8,3,4,0,0,0,0,5,7,4,2,1,6,
%U 7,9,6,3,5,0,5,1,1,0,4,4,5,2,1,7,9,6,2,2,4,3,2,1,5,9,7,0,2,8,4,5,4,1,4,2,3,7,2,2
%N Decimal expansion of least x>0 having sin(2x)=(sin 4x)^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 0.1364859246184124752043084030419349155...
%t b = 2; c = 4; f[x_] := Sin[x]
%t t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .1, .2}, WorkingPrecision -> 100]
%t RealDigits[t] (* A197255 *)
%t Plot[{f[b*x], f[c*x]^2}, {x, 0, Pi}]
%Y Cf. A197133.
%K nonn,cons
%O 0,2
%A _Clark Kimberling_, Oct 12 2011
%E a(81) ff. corrected by _Georg Fischer_, Jul 28 2021
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