Some Observations about the "Generalized Abundancy Index"

Shannon Starr

Let $\mathcal{A}(\ell ,n)\subset S_n^{\ell }$ denote the set of all $\ell$-tuples $({\pi }_1,\dots ,{\pi }_{\ell })$, for ${\pi }_1,\dots ,{\pi }_{\ell }\in S_n$ satisfying: $\forall i<j$ we have $π_iπ_j=…