Parameters of the Gaussian fit to the number of mergers with the central star for simulations of clusters without an external potential. The data points were obtained after the fit to the combined data of six simulations. Upper panel: values of the normalization factor A for different values of N and R_star along with our model from Eq. (9). These data points show that the number of mergers increases with both N and R_star as expected. Bottom panel: different values of t_delay in addition to the different values of N and R_star along with the fitting function presented in Eq. (10). These points show that t_delay decreases with R_star, but it increases with N.