Papers › A sequence of quasipolynomials arising from random numerical semigroups
A sequence of quasipolynomials arising from random numerical semigroups
Calvin Leng, Christopher O'Neill
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A numerical semigroup is a subset of the non-negative integers that is closed under addition. For a randomly generated numerical semigroup, the expected number of minimum generators can be expressed in terms of a doubly-indexed sequence of integers, denoted h_(n, i), that count generating sets with certain properties. We prove a recurrence that implies the sequence h_(n,i) is eventually quasipolynomial when the second parameter is fixed.
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