The extended Frobenius problem for r-Fibonacci sequences shifted by r-Fibonacci numbers Robles Pérez, Aureliano M. Rosales González, José Carlos Sucesiones r-Fibonacci Números r-Fibonacci Problema extendido de Frobenius 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. 2025-09-08T08:27:50Z 2025-09-08T08:27:50Z 2025-08 journal article https://hdl.handle.net/10481/106123 10.1007/s40065-025-00513-3 eng http://creativecommons.org/licenses/by-sa/4.0/ open access Atribución-CompartirIgual 4.0 Internacional