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A197261 Decimal expansion of least x>0 having sin(3x)=(sin 2x)^2. 2
6, 5, 0, 2, 4, 0, 6, 1, 8, 2, 1, 7, 6, 1, 8, 1, 9, 2, 0, 9, 5, 5, 5, 5, 1, 7, 2, 7, 3, 4, 6, 7, 0, 5, 1, 4, 8, 8, 1, 6, 7, 2, 1, 1, 4, 3, 0, 9, 4, 0, 6, 0, 7, 6, 9, 4, 8, 4, 8, 6, 7, 4, 7, 8, 6, 7, 8, 6, 3, 3, 2, 9, 0, 5, 2, 3, 5, 6, 7, 7, 7, 5, 0, 5, 1, 8, 0, 1, 1, 8, 3, 8, 6, 6, 6, 8, 0, 2, 8, 1 (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..99.

EXAMPLE

x=0.650240618217618192095555172734670514...

MATHEMATICA

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

t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .5, .7}, WorkingPrecision -> 100]

RealDigits[t] (* A197261 *)

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

CROSSREFS

Cf. A197133.

Sequence in context: A214128 A166509 A200635 * A010773 A099288 A256717

Adjacent sequences:  A197258 A197259 A197260 * A197262 A197263 A197264

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 12 2011

STATUS

approved

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Last modified January 21 16:47 EST 2020. Contains 331114 sequences. (Running on oeis4.)