Sub-Fibonacci behavior in numerical semigroup enumeration
Sub-Fibonacci behavior in numerical semigroup enumeration
In 2013, Zhai proved that most numerical semigroups of a given genus have depth at most \(3\) and that the number \(n_g\) of numerical semigroups of a genus \(g\) is asymptotic to \(S\varphi^g\), where \(S\) is some positive constant and \(\varphi \approx 1.61803\) is the golden ratio. In this paper, …