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A197392 Decimal expansion of least x>0 having sin(pi*x/4)=(sin 3x)^2. 2
0, 8, 9, 3, 1, 1, 7, 7, 4, 8, 5, 4, 4, 8, 4, 7, 6, 2, 9, 4, 4, 5, 4, 2, 3, 6, 0, 1, 7, 1, 0, 9, 9, 4, 7, 7, 0, 8, 2, 6, 4, 5, 8, 9, 5, 0, 0, 5, 0, 8, 4, 9, 4, 2, 4, 4, 4, 3, 9, 3, 3, 8, 9, 1, 3, 0, 1, 1, 5, 7, 8, 4, 5, 7, 0, 9, 8, 7, 2, 0, 2, 8, 1, 0, 1, 7, 1, 0, 3, 2, 5, 5, 5, 9, 6, 8, 4, 7, 2 (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=0.0893117748544847629445423601710994770...

MATHEMATICA

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

t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .08, .09}, WorkingPrecision -> 200]

RealDigits[t](* A197392 *)

Plot[{f[b*x], f[c*x]^2}, {x, 0, 0.8}]

CROSSREFS

Cf. A197133.

Sequence in context: A266261 A117914 A203077 * A021922 A246843 A257438

Adjacent sequences:  A197389 A197390 A197391 * A197393 A197394 A197395

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 14 2011

STATUS

approved

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Last modified January 23 10:50 EST 2020. Contains 331171 sequences. (Running on oeis4.)