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A197411 Decimal expansion of least x>0 having sin(pi*x/4)=(sin 2x/3)^2. 2
2, 1, 9, 4, 2, 3, 2, 9, 1, 9, 0, 1, 6, 9, 1, 9, 1, 4, 4, 4, 7, 4, 1, 6, 4, 0, 9, 4, 9, 3, 4, 0, 8, 4, 2, 1, 5, 8, 8, 8, 0, 2, 1, 6, 0, 3, 0, 6, 8, 3, 7, 9, 9, 6, 9, 1, 4, 7, 7, 4, 8, 0, 0, 9, 3, 5, 2, 7, 5, 8, 6, 8, 6, 0, 7, 7, 7, 8, 5, 9, 5, 4, 3, 6, 7, 3, 0, 8, 6, 2, 5, 8, 2, 9, 9, 8, 8, 7, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

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=1..99.

EXAMPLE

x=2.1942329190169191444741640949340842158...

MATHEMATICA

b = Pi/4; c = 2/3; f[x_] := Sin[x]

t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 2.19, 2.195},

   WorkingPrecision -> 200]

RealDigits[t] (* A197411 *)

Plot[{f[b*x], f[c*x]^2}, {x, 0, 3.1}]

CROSSREFS

Cf. A197133.

Sequence in context: A249264 A188108 A166890 * A124905 A293417 A295737

Adjacent sequences:  A197408 A197409 A197410 * A197412 A197413 A197414

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 14 2011

STATUS

approved

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Last modified September 29 18:27 EDT 2020. Contains 337432 sequences. (Running on oeis4.)