  A sequence $s(n)$ of integers is MC-finite if for every $m \in \mathbb{N}^+$
the sequence $s^m(n) = s(n) \bmod{m}$ is ultimately periodic. We discuss
various ways of proving and disproving MC-finiteness. Our examples are mostly
taken from set partition functions, but our methods can be applied to many more
integer sequences.
