  We study the number $N\_n$ of open paths of length $n$ in supercritical
oriented percolation on $\Zd \times \N$, with $d \ge 1$. We prove that on the
percolation event $\{\inf N\_n\textgreater{}0\}$, $N\_n^{1/n}$ almost surely
converges to a positive deterministic constant. We also study the existence of
directional limits. The proof relies on the introduction of adapted sequences
of regenerating times, on subadditive arguments and on the properties of the
coupled zone in supercritical oriented percolation.
