When Does m – n Divide f(m) – f(n)? A Look at Column-Finite Matrices

1997

Say a sequence of integers { f(n)} has the divisible differences property if m – n divides f(m) – f(n) for all m, n. In this paper, we characterize such sequences. The results suggest some questions about column-finite (infinite) matrices which we discuss, posing some conjectures.
Last modified by dc on Oct 27, 1997