The extended Frobenius problem for r-Fibonacci sequences shifted by r-Fibonacci numbers

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URI: https://hdl.handle.net/10481/106123
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Author
Robles Pérez, Aureliano M.; Rosales González, José Carlos
Materia
Sucesiones r-Fibonacci
 
Números r-Fibonacci
 
Problema extendido de Frobenius
 
Date
2025-08
Sponsorship
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.
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.
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Atribución-CompartirIgual 4.0 Internacional
Except where otherwise noted, this item's license is described as Atribución-CompartirIgual 4.0 Internacional