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 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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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     author = {J. C. Rosales and M. B. Branco},
     title = {On the {Enumeration} of the {Set} of {Elementary} {Numerical} {Semigroups} with {Fixed} {Multiplicity,} {Frobenius} {Number} or {Genus}},
     journal = {Kragujevac Journal of Mathematics},
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     year = {2022},
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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/