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A197414 Decimal expansion of least x > 0 having sin(Pi*x/6) = sin(2*x)^2. 2
1, 3, 3, 9, 6, 7, 6, 6, 2, 2, 8, 1, 7, 2, 7, 1, 4, 4, 4, 1, 6, 8, 1, 3, 5, 4, 0, 2, 5, 6, 6, 4, 9, 2, 1, 5, 6, 2, 3, 9, 6, 8, 8, 4, 2, 5, 0, 7, 6, 2, 7, 4, 1, 3, 6, 6, 6, 5, 9, 0, 0, 8, 3, 6, 9, 5, 1, 7, 3, 6, 7, 6, 8, 5, 6, 4, 8, 0, 8, 0, 4, 2, 1, 5, 2, 5, 6, 5, 4, 8, 8, 3, 3, 9, 5, 2, 7, 0, 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..98.

EXAMPLE

x=0.13396766228172714441681354025664...

MATHEMATICA

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

t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 0.1, 0.4}, WorkingPrecision -> 200]

RealDigits[t] (* A197414 *)

Plot[{f[b*x], f[c*x]^2}, {x, 0, 1.3}]

CROSSREFS

Cf. A197133.

Sequence in context: A062131 A199663 A124871 * A247571 A292885 A227075

Adjacent sequences:  A197411 A197412 A197413 * A197415 A197416 A197417

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 14 2011

STATUS

approved

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Last modified September 26 03:40 EDT 2022. Contains 356986 sequences. (Running on oeis4.)