A small cover is a closed manifold M^n with a locally standard(Z_2)~n-action such that its orbit space is a simple convex polytope P^n. Let Δ~n denote an n-simplex and P(m) an m-gon. This paper gives formulas for calculating the number of D-J equivalent classes and equivariant homeomorphism classes of orientable small covers over the product space Δ^(n_1)×Δ^(n_2)× P(m), where n_1 is odd.
