The almost Golomb equation of order r admits inhomogeneous Beatty sequence solutions of slope 1/sqrt(r) for r not an even perfect square, plus a one-parameter family obtained by composing the equation with itself.
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Beatty solutions of almost Golomb equations
The almost Golomb equation of order r admits inhomogeneous Beatty sequence solutions of slope 1/sqrt(r) for r not an even perfect square, plus a one-parameter family obtained by composing the equation with itself.