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A197382 Decimal expansion of least x>0 having sin(pi*x/4)=(sin pi*x/6)^2. 2
2, 4, 8, 3, 7, 3, 6, 2, 0, 6, 1, 2, 3, 1, 3, 2, 7, 5, 7, 6, 0, 9, 7, 3, 7, 1, 4, 4, 8, 1, 9, 7, 5, 1, 1, 6, 8, 6, 9, 8, 9, 9, 0, 0, 7, 1, 2, 3, 6, 6, 9, 3, 8, 8, 1, 8, 0, 0, 6, 6, 3, 0, 8, 9, 3, 7, 7, 0, 5, 4, 2, 4, 9, 2, 9, 6, 5, 2, 6, 5, 3, 0, 2, 2, 7, 0, 2, 3, 9, 0, 5, 9, 7, 9, 5, 5, 2, 4, 2 (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=2.483736206123132757609737144819751168698...

MATHEMATICA

b = Pi/4; c = Pi/6; f[x_] := Sin[x]

t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 2, 3}, WorkingPrecision -> 200]

RealDigits[t] (* A197382 *)

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

CROSSREFS

Cf. A197133.

Sequence in context: A101942 A050170 A087089 * A246363 A319268 A277272

Adjacent sequences:  A197379 A197380 A197381 * A197383 A197384 A197385

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 14 2011

STATUS

approved

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Last modified February 18 19:54 EST 2019. Contains 320262 sequences. (Running on oeis4.)