A197284 Decimal expansion of least x>0 having sin(5x)=(sin 2x)^2.

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

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=0.4807875982797169529048199137272...

Mathematica

b = 5; c = 2; f[x_] := Sin[x]
t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .4, .7}, WorkingPrecision -> 100]
RealDigits[t] (* A197284 *)
Plot[{f[b*x], f[c*x]^2}, {x, 0, Pi}]

Crossrefs

Cf. A197133.

Sequence in context: A195288 A251992 A021212 * A086468 A125507 A198583

Adjacent sequences: A197281 A197282 A197283 * A197285 A197286 A197287

Keyword

nonn,cons

Author

Clark Kimberling, Oct 13 2011

Status

approved