Proposal of a generating function of partition sequences
Combinatorics
2025-04-16 v1
Abstract
In this paper, we introduce the generating functions of partition sequences. Partition sequences have a one-to-one correspondence with partitions. Therefore, the generating function has no multiplicity and appears meaningless initially. However, we show that using a matrix can give meaning to the coefficients and preserve valuable information about partitions. We also introduce some restrictions on partitions suitable for these generating functions.
Cite
@article{arxiv.2504.10791,
title = {Proposal of a generating function of partition sequences},
author = {Masanori Ando},
journal= {arXiv preprint arXiv:2504.10791},
year = {2025}
}