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

dc.contributor.authorRobles Pérez, Aureliano M. 
dc.contributor.authorRosales González, José Carlos 
dc.date.accessioned2023-05-25T11:18:33Z
dc.date.available2023-05-25T11:18:33Z
dc.date.issued2023-08
dc.identifier.citationRobles-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/s00009-023-02428-9es_ES
dc.identifier.urihttps://hdl.handle.net/10481/81834
dc.description.abstractWe 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.es_ES
dc.description.sponsorshipUniversidad de Granada / CBUAes_ES
dc.description.sponsorshipJunta de Andalucía (ProyExcel_00868)es_ES
dc.description.sponsorshipJunta de Andalucía Grant Number FQM-343.es_ES
dc.language.isoenges_ES
dc.publisherSpringeres_ES
dc.rightsAtribución-NoComercial-CompartirIgual 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/*
dc.subjectFibonacci numberses_ES
dc.subjectFibonacci sequencees_ES
dc.subjectFrobenius problemes_ES
dc.subjectNumerical semigroupes_ES
dc.subjectApéry setes_ES
dc.subjectFrobenius numberes_ES
dc.subjectGenuses_ES
dc.subjectWilf’s conjecturees_ES
dc.titleThe extended Frobenius problem for Fibonacci sequences incremented by a Fibonacci numberes_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.1007/s00009-023-02428-9
dc.type.hasVersionVoRes_ES


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