@misc{10481/106123, year = {2025}, month = {8}, url = {https://hdl.handle.net/10481/106123}, abstract = {Using properties of the generalised Zeckendorf decompositions, we study the extended Frobenius problem for sequences of the form $\{p_a+p_n\}_{n\in\mathbb{N}}$, where $\{p_n\}_{n\in\mathbb{N}}$ is an $r$-Fibonacci sequence and $p_a$ is an $r$-Fibonacci number.}, organization = {Proyecto de Excelencia de la Junta de Andalucía Grant Number ProyExcel_00868; Junta de Andalucía Grant Number FQM-343; Funding for open access publishing: Universidad deGranada / CBUA.}, keywords = {Sucesiones r-Fibonacci}, keywords = {Números r-Fibonacci}, keywords = {Problema extendido de Frobenius}, title = {The extended Frobenius problem for r-Fibonacci sequences shifted by r-Fibonacci numbers}, doi = {10.1007/s40065-025-00513-3}, author = {Robles Pérez, Aureliano M. and Rosales González, José Carlos}, }