  Let g be a basic classical Lie superalgebra over C. In the case of a typical
weight whose every nonnegative integer multiple is also typical, we compute a
closed form for the Hilbert series whose coefficients encode the dimensions of
finite-dimensional irreducible typical g-representations. We give a formula for
this Hilbert series in terms of elementary symmetric polynomials and Eulerian
polynomials. Additionally, we show a simple closed form in terms of
differential operators.
