A small cover is a closed manifold M^n with a locally standard (Z2)^n-action such that its orbit space is a simple convex polytope P^n. Let A^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 △^n1 × △^n2 × P(m), where n1 is odd.