  We consider a DGP inspired brane scenario where the action on the brane is
augmented by a function of the Ricci scalar, ${\cal L}(R)$. The cosmological
implications that such a scenario entails are examined for $R^{n}$ and shown to
be consistent with a universe expanding with power-law acceleration. It is
shown that two classes of solutions exist for the usual FRW metric and small
Hubble radii. When the Hubble radius becomes larger, we either have a
transition to a fully 5D regime or to a self-inflationary solution which
produces a late accelerated expansion such that the radius becomes a function
of $n$.
