A197294 Decimal expansion of least x>0 having sin(6x)=(sin 5x)^2.

2, 9, 0, 1, 0, 8, 8, 4, 1, 7, 7, 1, 7, 9, 3, 8, 3, 8, 9, 6, 9, 3, 4, 0, 7, 8, 6, 1, 4, 0, 4, 6, 7, 1, 5, 8, 7, 3, 3, 0, 7, 5, 3, 0, 1, 6, 2, 3, 0, 3, 3, 9, 8, 2, 0, 4, 7, 3, 1, 3, 6, 3, 5, 2, 6, 7, 1, 3, 5, 2, 1, 0, 8, 9, 9, 3, 2, 8, 2, 6, 8, 1, 8, 0, 6, 6, 8, 0, 8, 3, 0, 8, 0, 6, 9, 5, 3, 2, 9, 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=0.2901088417717938389693407861404671587330...

Mathematica

b = 6; c = 5; f[x_] := Sin[x]
t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .1, .4}, WorkingPrecision -> 100]
RealDigits[t] (* A197294 *)
Plot[{f[b*x], f[c*x]^2}, {x, 0, Pi/4}]

Crossrefs

Cf. A197133.

Sequence in context: A019315 A127558 A324330 * A228249 A011063 A021779

Adjacent sequences: A197291 A197292 A197293 * A197295 A197296 A197297

Keyword

nonn,cons

Author

Clark Kimberling, Oct 13 2011

Status

approved