The extended Frobenius problem for Fibonacci sequences incremented by a Fibonacci number

Robles Pérez, Aureliano M.; Rosales González, José Carlos

doi:10.1007/s00009-023-02428-9

Artículo principal (381.5Ko)

Identificadores

URI: https://hdl.handle.net/10481/81834

DOI: 10.1007/s00009-023-02428-9

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Editorial

Springer

Materia

Fibonacci numbers

Fibonacci sequence

Frobenius problem

Numerical semigroup

Apéry set

Frobenius number

Genus

Wilf’s conjecture

Date

2023-08

Referencia bibliográfica

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

Patrocinador

Universidad de Granada / CBUA; Junta de Andalucía (ProyExcel_00868); Junta de Andalucía Grant Number FQM-343.

Résumé

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.

Colecciones

FQM343 - Artículos

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