Geodesic
On the Enumeration of the Set of Elementary Numerical Semigroups with Fixed Multiplicity, Frobenius Number or Genus
Kragujevac Journal of Mathematics, Tome 46 (2022) no. 3, p. 433 .

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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.
Classification : 20M14, 05E99
Keywords: elementary numerical semigroups, Fibonacci sequence, genus, Frobenius number and multiplicity 
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J. C. Rosales; M. B. Branco. On the Enumeration of the Set of Elementary Numerical Semigroups with Fixed Multiplicity, Frobenius Number or Genus. Kragujevac Journal of Mathematics, Tome 46 (2022) no. 3, p. 433 . http://geodesic.mathdoc.fr/item/KJM_2022_46_3_a7/