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A197382 Decimal expansion of least x > 0 having sin(Pi*x/4) = sin(Pi*x/6)^2. 2

%I

%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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Last modified September 17 03:42 EDT 2021. Contains 347478 sequences. (Running on oeis4.)