2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/141739We show that there exists a one-to-one correspondence between the set of number-conserving cellular automata (CA) with $q$ inputs and the set of balanced sequences with $q$ terms. This allows to enumerate number-conserving CA. We also show that number-conserving rules are becoming increasingly rare as the number of states increases.8 pagesCellular Automata and Lattice Gasestext