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A197387 Decimal expansion of least x>0 having sin(pi*x/3)=(sin x/2)^2. 2
2, 1, 5, 3, 2, 1, 5, 0, 6, 6, 6, 8, 2, 6, 9, 8, 3, 3, 5, 4, 3, 3, 9, 0, 1, 2, 2, 7, 8, 4, 4, 6, 1, 3, 4, 8, 4, 2, 9, 2, 6, 1, 6, 3, 2, 0, 4, 9, 1, 8, 4, 6, 4, 1, 3, 8, 6, 0, 7, 7, 3, 3, 0, 9, 6, 6, 2, 0, 5, 4, 0, 3, 7, 4, 3, 9, 6, 7, 3, 8, 3, 8, 0, 6, 4, 6, 8, 2, 1, 6, 8, 7, 7, 8, 3, 0, 9, 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..98.

EXAMPLE

x=2.15321506668269833543390122784461348429261632049...

MATHEMATICA

b = Pi/3; c = 1/2; f[x_] := Sin[x]

t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 2, 2.5}, WorkingPrecision -> 200]

RealDigits[t] (* A197387 *)

Plot[{f[b*x], f[c*x]^2}, {x, 0, 3}]

CROSSREFS

Cf. A197133.

Sequence in context: A283424 A188392 A143409 * A171177 A171176 A213849

Adjacent sequences:  A197384 A197385 A197386 * A197388 A197389 A197390

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 14 2011

EXTENSIONS

Incorrect term a(99) removed by Andrew Howroyd, Jan 17 2018

STATUS

approved

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Last modified May 29 04:33 EDT 2020. Contains 334697 sequences. (Running on oeis4.)