  We consider a model for 2D electrons in a very strong magnetic field (i.e.
projected onto a single Landau level) and a random potential $V$. The
computation of the averaged Green function for this system reduces to
calculating the averaged density of states. We have constructed a computer
algebra program which automatically generates a perturbation expansion in $V$
for these quantities. This is equivalent to computing moments of the density of
states. When $V$ is a sum of Gaussians from Poisson distributed impurities,
each term in the perturbation expansion can be evaluated automatically. We have
done so up to 12th order. The resulting information can be used to reconstruct
the density of states to good precision.
