2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/159328Hilhorst and Schehr recently presented a straight forward computation of limit distributions of sufficiently correlated random numbers \cite{hilhorst}. Here we present the analytical form of entropy which --under the maximum entropy principle (with ordinary constraints)-- provides these limit distributions. These distributions are not $q$-Gaussians and can not be obtained with Tsallis entropy.4 pages 1 figStatistical Mechanicstext