@misc{10481/81834, year = {2023}, month = {8}, url = {https://hdl.handle.net/10481/81834}, abstract = {We study the extended Frobenius problem for sequences of the form {fa+fn}n∈N, where {fn}n∈N is the Fibonacci sequence and fa is a Fibonacci number. As a consequence of this study, we show that the family of numerical semigroups associated with these sequences satisfies Wilf’s conjecture.}, organization = {Universidad de Granada / CBUA}, organization = {Junta de Andalucía (ProyExcel_00868)}, organization = {Junta de Andalucía Grant Number FQM-343.}, publisher = {Springer}, keywords = {Fibonacci numbers}, keywords = {Fibonacci sequence}, keywords = {Frobenius problem}, keywords = {Numerical semigroup}, keywords = {Apéry set}, keywords = {Frobenius number}, keywords = {Genus}, keywords = {Wilf’s conjecture}, title = {The extended Frobenius problem for Fibonacci sequences incremented by a Fibonacci number}, doi = {10.1007/s00009-023-02428-9}, author = {Robles Pérez, Aureliano M. and Rosales González, José Carlos}, }