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A197259 Decimal expansion of least x>0 having sin(2x)=(sin 8x)^2. 2
3, 1, 9, 1, 6, 3, 6, 5, 2, 5, 3, 9, 0, 2, 1, 0, 8, 8, 3, 1, 1, 8, 1, 7, 3, 2, 2, 3, 0, 1, 5, 1, 6, 7, 1, 3, 0, 5, 9, 0, 8, 5, 5, 6, 0, 6, 7, 2, 2, 3, 0, 1, 5, 0, 2, 7, 0, 8, 6, 9, 1, 3, 1, 3, 2, 9, 5, 4, 8, 0, 5, 7, 1, 3, 6, 7, 6, 2, 4, 6, 4, 5, 7, 0, 4, 1, 5, 0, 2, 1, 1, 0, 2, 4, 0, 2, 2, 4, 2, 7 (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=0.0319163652539021088311817322301516...

MATHEMATICA

b = 2; c = 8; f[x_] := Sin[x]

t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .02, .04}, WorkingPrecision -> 100]

RealDigits[t]  (* A197259*)

Plot[{f[b*x], f[c*x]^2}, {x, 0, .04}]

CROSSREFS

Cf. A197133.

Sequence in context: A280192 A325375 A317202 * A200006 A070894 A090261

Adjacent sequences:  A197256 A197257 A197258 * A197260 A197261 A197262

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 12 2011

STATUS

approved

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Last modified January 20 10:58 EST 2020. Contains 331081 sequences. (Running on oeis4.)