  It is demonstrated that the Pais-Uhlenbeck oscillator in arbitrary dimension
enjoys the l-conformal Newton-Hooke symmetry provided frequencies of
oscillation form the arithmetic sequence omega_k=(2k-1) omega_1, where
k=1,...,n, and l is the half-integer (2n-1)/2. The model is shown to be
maximally superintegrable. A link to n decoupled isotropic oscillators is
discussed and an interplay between the l-conformal Newton-Hooke symmetry and
symmetries characterizing each individual isotropic oscillator is analyzed.
