Numerical semigroups on compound sequences

Claire Kiers, Christopher O'Neill, Vadim Ponomarenko

We generalize the geometric sequence $\{a^p,a^{p-1}b,a^{p-2}{b}^2,...,b^p\}$ to allow the $p$ copies of $a$ (resp. $b$) to all be different. We call the sequence $\{a_1a_2a_3\cdots…