Dante V. Manna
Divisibility properties of two integer sequences

Abstract. We describe in detail divisibility properties of two sequences of interest. One, a family of hypergeometric sums, arose from an integral evaluation and kindled our interest in this topic. Our results for this sequence were discovered experimentally. Testing our experimental method on Stirling numbers of the second kind, we observe chaotic phenomena. In this case, it pays to extend our analysis to patterns that occur modulo n.