  We give a formula that expresses the Hilbert series of one-sided ladder
determinantal rings, up to a trivial factor, in form of a determinant. This
allows the convenient computation of these Hilbert series. The formula follows
from a determinantal formula for a generating function for families of
nonintersecting lattice paths that stay inside a one-sided ladder-shaped
region, in which the paths are counted with respect to turns.
