A197282 Decimal expansion of least x>0 having sin(4x)=(sin 8x)^2.

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

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..99.

Example

x=0.2482029305367105510929792173898073217...

Mathematica

b = 4; c = 8; f[x_] := Sin[x]
t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .1, .3}, WorkingPrecision -> 100]
RealDigits[t] (* A197282 *)
Plot[{f[b*x], f[c*x]^2}, {x, 0, 0.4}]

Crossrefs

Cf. A197133.

Sequence in context: A097874 A097885 A097892 * A215452 A362985 A175131

Adjacent sequences: A197279 A197280 A197281 * A197283 A197284 A197285

Keyword

nonn,cons

Author

Clark Kimberling, Oct 12 2011

Status

approved