  We consider inflaton potential reconstruction in the context of the simplest
braneworld scenario, where both the Friedmann equation and the form of scalar
and tensor perturbations are modified at high energies. We derive the
reconstruction equations, and analyze them analytically in the high-energy
limit and numerically for the general case. As previously shown by Huey and
Lidsey, the consistency equation between scalar and tensor perturbations is
unchanged in the braneworld scenario. We show that this leads to a perfect
degeneracy in reconstruction, whereby a different viable potential can be
obtained for any value of the brane tension $\lambda$. Accordingly, the initial
perturbations alone cannot be used to distinguish the braneworld scenario from
the usual Einstein gravity case.
