  We prove an explicit formula for the first non-zero entry in the n-th row of
the graded Betti table of an n-dimensional projective toric variety associated
to a normal polytope with at least one interior lattice point. This applies to
Veronese embeddings of projective space where we prove a special case of a
conjecture of Ein and Lazarsfeld. We also prove an explicit formula for the
entire n-th row when the interior of the polytope is one-dimensional. All
results are valid over an arbitrary field k.
