A197295 Decimal expansion of least x>0 having sin(6x)=(sin 7x)^2.

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

Offset

0,2

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=0.164563807279356687824405978551888579009...

Mathematica

b = 6; c = 7; f[x_] := Sin[x]
t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .15, .2}, WorkingPrecision -> 100]
RealDigits[t]  (* A197295 *)
Plot[{f[b*x], f[c*x]^2}, {x, 0, 0.6}]

Crossrefs

Cf. A197133.

Sequence in context: A342359 A140246 A130786 * A372995 A199385 A177159

Adjacent sequences: A197292 A197293 A197294 * A197296 A197297 A197298

Keyword

nonn,cons

Author

Clark Kimberling, Oct 13 2011

Status

approved