2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/19731We introduce a class of stochastic integer sequences. In these sequences, every element is a sum of two previous elements, at least one of which is chosen randomly. The interplay between randomness and memory underlying these sequences leads to a wide variety of behaviors ranging from stretched exponential to log-normal to algebraic growth. Interestingly, the set of all possible sequence values has an intricate structure.4 pages, 4 figuresStatistical MechanicsDisordered Systems and Neural NetworksProbabilitytext