Abstract: During decades, nonlinear sequence transformations method has been well developed in fields of mathematics and physics, and extensive simulation results have demonstrated its power of the acceleration of convergence and the summation of divergent series. The perturbation expansions for the infinite coupling limits of the quartic, sextic and octic anharmonic oscillators are strongly divergent, and renormalization techniques shall be used to slow down its rate of divergence. This paper presents the performance of Weniger’s transformation in summation of the renormalized perturbation series, and gives numerical results of infinite coupling limits. With the help of computer algebra system Maple, which has abilities of rational arithmetics, we can get rid of the bad effect of rounding errors. However, Maple consumes large amounts of memory resources to store data and calculate, as a result memory overflow occurs frequently. Aiming at the above problem, this paper proposes a method to compress the dimensions of arrays in order to reduce load of storage, and thus we can obtain more accurate approximations of infinite coupling limits than the known method.