A197259 - OEIS

A197259

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

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

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

-1,1

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=-1..99.

EXAMPLE

0.0319163652539021088311817322301516...

MATHEMATICA

b = 2; c = 8; f[x_] := Sin[x]

t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .02, .04}, WorkingPrecision -> 100]