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A197329 Decimal expansion of least x>0 having sin(2x)=(sin pi*x/3)^2. 2
1, 0, 8, 6, 5, 8, 4, 0, 6, 5, 7, 6, 5, 1, 8, 2, 7, 1, 7, 4, 3, 1, 7, 1, 3, 5, 2, 1, 4, 3, 0, 0, 5, 1, 3, 8, 4, 6, 2, 2, 5, 1, 6, 5, 6, 2, 5, 1, 7, 2, 5, 3, 5, 3, 0, 2, 2, 2, 5, 1, 8, 0, 7, 2, 0, 9, 2, 0, 9, 4, 0, 9, 2, 5, 2, 2, 9, 7, 0, 9, 9, 1, 2, 0, 5, 0, 3, 6, 2, 2, 4, 4, 0, 6, 7, 4, 7, 8, 0 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,3

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=1..99.

EXAMPLE

x=1.0865840657651827174317135214300513846...

MATHEMATICA

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

t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 1, 1.5}, WorkingPrecision -> 200]

RealDigits[t]  (* A197329 *)

Plot[{f[b*x], f[c*x]^2}, {x, 0, 1.5}]

CROSSREFS

Cf. A197133.

Sequence in context: A100199 A161883 A248618 * A046266 A165104 A010527

Adjacent sequences:  A197326 A197327 A197328 * A197330 A197331 A197332

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 13 2011

STATUS

approved

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Last modified January 24 13:24 EST 2020. Contains 331193 sequences. (Running on oeis4.)