On the Periodicity Problem for Residual r-Fubini Sequences
Amir Abbas Asgari
National Organization for Development of Exceptional Talents (NODET)
School of Mathematics
Department of Science
Shahid Rajaee Teacher Training University
P. O. Box 16785-163
For any positive integer r, the r-Fubini number with parameter n,
denoted by Fn,r, is equal to the number of ways that the elements of a
set with n + r elements can be weakly ordered such that the r least
elements are in distinct orders. In this article we focus on the
sequence of residues of the r-Fubini numbers modulo an arbitrary
positive integer s and show that this sequence is periodic and then,
exhibit how to calculate its period length.
Full version: pdf,
(Concerned with sequences
Received March 18 2017; revised version received April 16 2017; April 1 2018; April 12 2018; April 21 2018.
Published in Journal of Integer Sequences, May 8 2018.
Journal of Integer Sequences home page