  For an electron in the plane subjected to a perpendicular constant magnetic
field and a homogeneous Gaussian random potential with a Gau{ss}ian covariance
function we approximate the averaged density of states restricted to the lowest
Landau level. To this end, we extrapolate the first 9 coefficients of the
underlying continued fraction consistently with the coefficients' high-order
asymptotics. We thus achieve the first reliable extension of Wegner's exact
result [Z. Phys. B {\bf 51}, 279 (1983)] for the delta-correlated case to the
physically more relevant case of a non-zero correlation length.
