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A197385 Decimal expansion of least x>0 having sin(pi*x/3)=(sin 2x)^2. 2
2, 8, 8, 4, 4, 9, 4, 1, 6, 5, 1, 2, 4, 6, 1, 5, 2, 8, 8, 3, 7, 9, 4, 6, 3, 5, 9, 5, 7, 1, 3, 8, 7, 1, 6, 3, 9, 1, 5, 1, 7, 5, 0, 8, 6, 6, 9, 3, 6, 1, 0, 8, 8, 2, 2, 5, 7, 3, 4, 3, 5, 7, 8, 7, 1, 6, 2, 4, 8, 9, 9, 2, 1, 4, 3, 4, 8, 7, 3, 8, 4, 5, 7, 2, 3, 6, 3, 2, 1, 8, 0, 0, 2, 2, 6, 7, 0, 7, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

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.

LINKS

Table of n, a(n) for n=0..98.

EXAMPLE

x=0.2884494165124615288379463595713871639151750...

MATHEMATICA

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

t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 0.2, 0.4}, WorkingPrecision -> 200]

RealDigits[t] (* A197385 *)

Plot[{f[b*x], f[c*x]^2}, {x, 0, 1.2}]

CROSSREFS

Cf. A197133.

Sequence in context: A242168 A011288 A198234 * A010596 A131920 A180308

Adjacent sequences:  A197382 A197383 A197384 * A197386 A197387 A197388

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 14 2011

STATUS

approved

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Last modified March 20 07:27 EDT 2019. Contains 321345 sequences. (Running on oeis4.)