Computation of Some Integer Sequences in Maple

Abstract

We consider some integer sequences connected with combinatorial applications. Specifically, we consider Stirling partition and cycle numbers, associated Stirling partition and cycle numbers, and Eulerian numbers of the first and second kinds. We consider their evaluation in different contexts. One context is the calculation of a single value based on single input arguments. A more common context, however, is the calculation of a sequence of values. We compare strategies for both. Where possible, we compare with existing Maple implementations.