The rate coefficient for He+ ions recombining in helium gas is computed using the Wigner–Keck Monte Carlo trajectory method. The present calculation is a refinement of a previous one, the principal difference between the two being that simpler, more reliable, and much less time consuming procedures are now employed to select the trajectories. The results of the new calculation are consistent with, and statistically more accurate than, those of the previous one. The improved sampling procedures, unlike those employed in the previous calculation, have the appearance of being easily applicable to other, similar three body association reactions.