Generic numerical semigroups
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The use of compositions simplifies some aspects of the theory of numerical semigroups. We illustrate this by giving a new proof for the asymptotic number C((1 + √ 5)/2)g of numerical semigroups of genus g and by describing the constant C explicitly1.
[1] Alex Zhai. Fibonacci-like growth of numerical semigroups of a given genus , 2011, 1111.3142.
[2] N. Kaplan. Counting Numerical Semigroups , 2017, Am. Math. Mon..
[3] Maria Bras-Amorós,et al. Fibonacci-like behavior of the number of numerical semigroups of a given genus , 2008, 1706.05230.
[4] Charalambos A. Charalambides,et al. Enumerative combinatorics , 2018, SIGA.