A197289 Decimal expansion of least x>0 having sin(5x)=(sin 8x)^2.

2, 3, 2, 6, 3, 6, 4, 7, 7, 0, 8, 0, 3, 2, 6, 3, 4, 9, 8, 1, 9, 2, 2, 6, 9, 2, 0, 1, 8, 9, 0, 3, 3, 9, 2, 9, 9, 8, 4, 8, 0, 7, 3, 7, 1, 1, 6, 1, 9, 4, 6, 7, 1, 0, 7, 7, 4, 7, 8, 1, 3, 1, 3, 8, 4, 2, 3, 3, 1, 4, 4, 6, 8, 0, 2, 5, 1, 7, 8, 8, 1, 7, 5, 1, 9, 2, 9, 6, 9, 1, 7, 7, 2, 8, 8, 4, 5, 3, 5, 3, 8

Offset

0,1

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=0..100.

Example

x=0.23263647708032634981922692018903392998...

Mathematica

b = 5; c = 8; f[x_] := Sin[x]
t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .2, .4}, WorkingPrecision -> 100]
RealDigits[t] (* A197289 *)
Plot[{f[b*x], f[c*x]^2}, {x, 0, Pi/4}]

Crossrefs

Cf. A197133.

Sequence in context: A033031 A134060 A329282 * A161888 A347859 A157224

Adjacent sequences: A197286 A197287 A197288 * A197290 A197291 A197292

Keyword

nonn,cons

Author

Clark Kimberling, Oct 13 2011

Status

approved