  The first ten coefficients in the perturbative expansion of the plaquette in
Lattice SU(3) are computed both on a 8^4 and on a 24^4 lattice. They are shown
to be fully consistent with the growth dictated by the first IR Renormalon and
with the expected finite size effects on top of that. As already pointed out a
few years ago, this leads to a puzzling result on the smaller lattice: when the
contribution associated with the Renormalon is subtracted from Monte Carlo
measurements of the plaquette, what is left over does not scale (as expected)
as a^4, but as a^2. While the analysis is not yet complete on the larger
lattice, the implications of such a finding is discussed.
