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%I #12 Apr 10 2021 11:32:25
%S 1,7,9,6,4,2,6,1,6,0,2,6,2,7,7,8,6,5,5,3,0,3,2,2,3,6,0,5,7,6,2,6,7,6,
%T 3,0,9,7,4,4,2,9,6,2,4,6,0,4,8,0,9,2,4,6,0,6,7,1,0,6,3,7,4,8,2,6,0,1,
%U 6,7,1,1,3,9,5,4,4,0,2,8,6,8,5,5,3,2,5,4,8,4,3,8,1,7,3,1,6,0,4
%N Decimal expansion of least x > 0 having sin(x) = sin(Pi*x/4)^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=1.79642616026277865530322360576267630...
%t b = 1; c = Pi/4; f[x_] := Sin[x]
%t t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 1.5, 2}, WorkingPrecision -> 200]
%t RealDigits[t] (* A197327 *)
%t Plot[{f[b*x], f[c*x]^2}, {x, 0, 2}]
%Y Cf. A197133.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Oct 13 2011
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