  We present an analysis of inclusive Omega_c^0 baryon production and decays in
230.5 fb^-1 of data recorded with the BABAR detector at the PEP-II
asymmetric-energy e+ e- collider at the Stanford Linear Accelerator Center.
Omega_c^0 baryons are reconstructed in four final states (Omega- pi+, Omega-
pi+ pi0, Omega- pi+ pi+ pi-, Xi- K- pi+ pi+) and the ratios of branching
fractions for these final states are measured. We also measure the momentum
spectrum of the Omega_c^0 baryons in the e+ e- center-of-mass frame. From the
spectrum, we observe Omega_c^0 production from B decays and in ccbar events,
and extract the two rates of production.
