2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127801Sequences whose terms are equal to the number of functions with specified properties are considered. Properties are based on the notion of derangements in a more general sense. Several sequences which generalize the standard notion of derangements are thus obtained. These sequences generate a number of integer sequences from the well-known Sloane's encyclopedia.Combinatorics05A10text