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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 $V$. Thecomputation of the averaged Green function for this system reduces tocalculating the averaged density of states. We have constructed a computeralgebra program which automatically generates a perturbation expansion in $V$for these quantities. This is equivalent to computing moments of the density ofstates. When $V$ is a sum of Gaussians from Poisson distributed impurities,each term in the perturbation expansion can be evaluated automatically. We havedone so up to 12th order. The resulting information can be used to reconstructthe density of states to good precision.Comment: LaTeX with figures included. PS file = 34 page

The averaged Green function and density of states for electrons in a high magnetic field and random potential