2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65283Let n,p,k be three positive integers. We prove that the numbers binomial (n,k) 3F2 (1-k, -p, p-n ; 1, 1-n ; 1) are positive integers which generalize the classical binomial coefficients. We give two generating functions for these integers, and a straightforward application.Enlarged version, LaTeX, 7 pagesCombinatorics05A10 (Primary), 33C20 (Secondary)text