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%I #13 Apr 10 2021 13:18:34
%S 2,1,9,4,2,3,2,9,1,9,0,1,6,9,1,9,1,4,4,4,7,4,1,6,4,0,9,4,9,3,4,0,8,4,
%T 2,1,5,8,8,8,0,2,1,6,0,3,0,6,8,3,7,9,9,6,9,1,4,7,7,4,8,0,0,9,3,5,2,7,
%U 5,8,6,8,6,0,7,7,7,8,5,9,5,4,3,6,7,3,0,8,6,2,5,8,2,9,9,8,8,7,4
%N Decimal expansion of least x > 0 having sin(Pi*x/4) = sin(2*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=2.1942329190169191444741640949340842158...
%t b = Pi/4; c = 2/3; f[x_] := Sin[x]
%t t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 2.19, 2.195},
%t WorkingPrecision -> 200]
%t RealDigits[t] (* A197411 *)
%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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