  We study the operator product expansion of the plaquette (gluon condensate)
and the self-energy of an infinitely heavy quark. We first compute their
perturbative expansions to order $\alpha^{35}$ and $\alpha^{20}$, respectively,
in the lattice scheme. In both cases we reach the asymptotic regime where the
renormalon behavior sets in. Subtracting the perturbative series, we obtain the
leading non-perturbative corrections of their respective operator product
expansions. In the first case we obtain the gluon condensate and in the second
the binding energy of the heavy quark in the infinite mass limit. The results
are fully consistent with the expectations from renormalons and the operator
product expansion.
