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 A197418 Decimal expansion of least x>0 having sin(pi*x/6)=(sin 2x/3)^2. 3

%I

%S 1,4,9,5,9,0,9,5,4,6,4,3,9,9,9,4,8,5,7,4,9,6,5,7,5,1,8,6,3,1,6,9,6,8,

%T 0,9,1,1,9,8,1,3,6,9,1,3,1,7,2,9,0,6,0,5,8,0,7,1,1,0,0,7,9,7,7,0,8,4,

%U 0,5,9,6,7,6,1,5,8,4,6,4,0,5,7,9,6,1,3,1,5,9,5,9,2,5,2,3,7,8,5

%N Decimal expansion of least x>0 having sin(pi*x/6)=(sin 2x/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=1.4959095464399948574965751863169680911...

%t b = Pi/6; c = 2/3; f[x_] := Sin[x]

%t t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 1.49, 1.5}, WorkingPrecision -> 200]

%t RealDigits[t] (* A197418 *)

%t Plot[{f[b*x], f[c*x]^2}, {x, 0, 3}]

%Y Cf. A197133.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Oct 14 2011

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Last modified December 13 12:37 EST 2019. Contains 329968 sequences. (Running on oeis4.)