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A197258 Decimal expansion of least x>0 having sin(2x)=(sin 7x)^2. 2
0, 4, 1, 9, 6, 1, 4, 0, 5, 6, 7, 7, 5, 6, 5, 8, 5, 0, 8, 5, 6, 3, 0, 0, 3, 6, 1, 6, 5, 8, 7, 5, 4, 1, 2, 3, 6, 9, 2, 8, 2, 8, 5, 7, 1, 3, 6, 7, 0, 1, 3, 4, 1, 4, 0, 0, 9, 3, 9, 3, 3, 1, 9, 0, 6, 1, 8, 4, 6, 7, 5, 0, 3, 0, 8, 5, 6, 8, 4, 5, 1, 2, 1, 1, 7, 1, 0, 2, 9, 5, 9, 6, 4, 7, 4, 8, 9, 5, 2, 3, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,2

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..100.

EXAMPLE

x=0.0419614056775658508563003616587541236...

MATHEMATICA

b = 2; c = 7; f[x_] := Sin[x]

t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .03, .05}, WorkingPrecision -> 100]

RealDigits[t] (* A197258 *)

Plot[{f[b*x], f[c*x]^2}, {x, 0, .06}]

CROSSREFS

Cf. A197133.

Sequence in context: A259448 A200113 A065489 * A211783 A185780 A051672

Adjacent sequences:  A197255 A197256 A197257 * A197259 A197260 A197261

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 12 2011

STATUS

approved

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Last modified January 24 19:19 EST 2020. Contains 331211 sequences. (Running on oeis4.)