2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66550We study the distribution of the number of permutations with a given periodic up-down sequence w.r.t. the last entry, find exponential generating functions and prove asymptotic formulas for this distribution.10 pages, 1 figureCombinatoricsPeriodic de Bruijn triangles: exact and asymptotic resultstext