We recently proposed a stochastic technique by which one can compute n
umerically the coefficients of the weak coupling perturbative expansio
n of any observable in Lattice Gauge Theory. We present the result for
the simple plaquette of SU(3) up to fourth loop order (beta(-4)) whic
h extends by one loop the previously known series. We discuss the poss
ibility of extracting the condensate from the plaquette Monte Carlo da
ta and we comment on a possible scenario of high order perturbation th
eory.