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A197257 Decimal expansion of least x>0 having sin(2x)=(sin 6x)^2. 2
0, 5, 7, 7, 0, 1, 1, 3, 3, 6, 9, 3, 5, 6, 3, 9, 4, 1, 4, 2, 9, 6, 1, 8, 3, 7, 3, 9, 7, 8, 6, 8, 4, 3, 5, 2, 4, 2, 0, 1, 7, 7, 1, 0, 9, 8, 8, 9, 9, 1, 0, 0, 9, 5, 1, 6, 6, 9, 5, 5, 8, 9, 3, 4, 1, 2, 1, 4, 3, 4, 6, 1, 2, 1, 1, 9, 4, 7, 3, 0, 8, 8, 6, 5, 2, 4, 3, 1, 5, 7, 3, 0, 6, 4, 2, 1, 7, 2, 7, 8, 1 (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=0.0577011336935639414296183739786...

MATHEMATICA

b = 2; c = 6; f[x_] := Sin[x]

t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .05, .07}, WorkingPrecision -> 100]

RealDigits[t] (* A197257 *)

Plot[{f[b*x], f[c*x]^2}, {x, 0, Pi/4}]

CROSSREFS

Cf. A197133.

Sequence in context: A217678 A227452 A138306 * A217175 A173930 A154802

Adjacent sequences:  A197254 A197255 A197256 * A197258 A197259 A197260

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 12 2011

STATUS

approved

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Last modified January 18 01:05 EST 2020. Contains 330995 sequences. (Running on oeis4.)