On two conjectures regarding generalized sequence of derangements
Number Theory
2020-04-24 v1
Abstract
The second author studied arithmetic properties of a class of sequences that generalize the sequence of derangements. The aim of the following paper is to disprove two conjectures stated in \cite{miska}. The first conjecture regards the set of prime divisors of their terms. The latter one is devoted to the order of magnitude of considered sequences.
Cite
@article{arxiv.2004.10839,
title = {On two conjectures regarding generalized sequence of derangements},
author = {Eryk Lipka and Piotr Miska},
journal= {arXiv preprint arXiv:2004.10839},
year = {2020}
}