On the enumeration of the set of elementary numerical semigroups with fixed multiplicity, frobenius number or genus Rosales González, José Carlos Elementary numerical semigroups Fibonacci sequence Genus Frobenius number and multiplicity In this paper we give algorithms that allow to compute the set of every elementary numerical semigroups with given genus, Frobenius number and multiplicity. As a consequence we obtain formulas for the cardinality of these sets. 2022-07-04T07:36:09Z 2022-07-04T07:36:09Z 2022 info:eu-repo/semantics/article Rosales, J. C. & Branco, M. B. On the enumeration of the set of elementary numerical semigroups with fixed multiplicity, frobenius number or genus. Kragujevac Journal of Mathematics Volume 46(3) (2022), Pages 433–442. DOI [10.46793/KgJMat2203.433R] http://hdl.handle.net/10481/75802 10.46793/KgJMat2203.433R eng http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess Attribution-NonCommercial-NoDerivatives 4.0 Internacional University of Kragujevac