A197286 Decimal expansion of least x>0 having sin(5x)=(sin 4x)^2.

3, 5, 5, 8, 1, 3, 9, 9, 1, 8, 4, 9, 5, 2, 3, 2, 2, 8, 6, 2, 9, 3, 4, 2, 4, 4, 3, 7, 5, 4, 0, 0, 9, 5, 5, 9, 1, 0, 2, 9, 1, 3, 9, 5, 4, 6, 4, 1, 9, 1, 6, 9, 8, 2, 2, 8, 2, 6, 2, 7, 5, 4, 9, 8, 1, 3, 2, 6, 5, 9, 1, 4, 5, 7, 3, 8, 1, 4, 4, 6, 2, 2, 0, 8, 6, 1, 9, 6, 7, 5, 0, 1, 4, 9, 2, 6, 8, 9, 1, 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=0.3558139918495232286293424437540095591...

Mathematica

b = 5; c = 4; f[x_] := Sin[x]
t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .3, .5}, WorkingPrecision -> 100]
RealDigits[t] (* A197286 *)
Plot[{f[b*x], f[c*x]^2}, {x, 0, Pi/2}]

Crossrefs

Cf. A197133.

Sequence in context: A366679 A296107 A158331 * A019632 A021285 A138575

Adjacent sequences: A197283 A197284 A197285 * A197287 A197288 A197289

Keyword

nonn,cons

Author

Clark Kimberling, Oct 13 2011

Status

approved