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%I #12 Apr 10 2021 11:35:12
%S 2,4,8,3,7,3,6,2,0,6,1,2,3,1,3,2,7,5,7,6,0,9,7,3,7,1,4,4,8,1,9,7,5,1,
%T 1,6,8,6,9,8,9,9,0,0,7,1,2,3,6,6,9,3,8,8,1,8,0,0,6,6,3,0,8,9,3,7,7,0,
%U 5,4,2,4,9,2,9,6,5,2,6,5,3,0,2,2,7,0,2,3,9,0,5,9,7,9,5,5,2,4,2
%N Decimal expansion of least x > 0 having sin(Pi*x/4) = sin(Pi*x/6)^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=2.483736206123132757609737144819751168698...
%t b = Pi/4; c = Pi/6; f[x_] := Sin[x]
%t t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 2, 3}, WorkingPrecision -> 200]
%t RealDigits[t] (* A197382 *)
%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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