The extended Frobenius problem for Fibonacci sequences incremented by a Fibonacci number Robles Pérez, Aureliano M. Rosales González, José Carlos Fibonacci numbers Fibonacci sequence Frobenius problem Numerical semigroup Apéry set Frobenius number Genus Wilf’s conjecture 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. 2023-05-25T11:18:33Z 2023-05-25T11:18:33Z 2023-08 journal article Robles-Pérez, A.M., Rosales, J.C. The Extended Frobenius Problem for Fibonacci Sequences Incremented by a Fibonacci Number. Mediterr. J. Math. 20, 222 (2023). https://doi.org/10.1007/s00009-023-02428-9 https://hdl.handle.net/10481/81834 10.1007/s00009-023-02428-9 eng http://creativecommons.org/licenses/by-nc-sa/4.0/ open access Atribución-NoComercial-CompartirIgual 4.0 Internacional Springer