References & Citations
Mathematics > Combinatorics
Title: MC-finiteness of restricted set partition functions
(Submitted on 16 Feb 2023 (v1), last revised 2 Jul 2023 (this version, v4))
Abstract: 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.
Submission history
From: Johann Makowsky [view email][v1] Thu, 16 Feb 2023 12:44:02 GMT (20kb)
[v2] Sun, 19 Feb 2023 16:36:29 GMT (20kb)
[v3] Sun, 11 Jun 2023 11:36:10 GMT (29kb)
[v4] Sun, 2 Jul 2023 13:00:51 GMT (29kb)
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