A197291 - OEIS

A197291

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

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

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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.

Least positive solution of cos x - sin x = 1/2. - Clark Kimberling, May 28 2024

Least positive solution of sin(2x) = 3/4. - Alexandru Petrescu, Jul 10 2024

LINKS

Table of n, a(n) for n=0..99.

EXAMPLE

0.4240310394907405040264721694992090400...

MATHEMATICA