Generalizations of some identities involving the fibonacci numbers

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66262In this paper we study the sum $$\sum_{j_1+j_2+...+j_d=n}\prod_{i=1}^d F_{k\cdot j_i},$$ where $d\geq2$ and $k\geq1$.12 pagesCombinatorics11B39; 11B83; 05A15Generalizations of some identities involving the fibonacci numberstext