On the periodicity problem of residual r-Fubini sequences
Number Theory
2017-01-26 v1
Abstract
For any positive integer , the -Fubini number with parameter , denoted by , is equal to the number of ways that the elements of a set with elements can be weak ordered such that the least elements are in distinct orders. In this article we focus on the sequence of residues of the -Fubini numbers modulo a positive integer and show that this sequence is periodic and then, exhibit how to calculate its period length. As an extra result, an explicit formula for the -Stirling numbers is obtained which is frequently used in calculations.
Keywords
Cite
@article{arxiv.1701.07276,
title = {On the periodicity problem of residual r-Fubini sequences},
author = {Amir Abbas Asgari and Majid Jahangiri},
journal= {arXiv preprint arXiv:1701.07276},
year = {2017}
}