A197377 - OEIS

A197377

Decimal expansion of least x>0 having sin(x) = sin(x/3)^2.

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

x=2.54418623694444302415883301699525424022009...

MATHEMATICA

b = 1; c = 1/3; f[x_] := Sin[x]

t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, 2.3, 2.6}, WorkingPrecision -> 200]