Recurrence Relations for Some Integer Sequences Related to Ward Numbers
Combinatorics
2025-08-15 v2
Abstract
In this paper, we give recurrence relations and identities for some integer sequences related to Ward numbers such as Ward-Lah numbers, varied Ward numbers and binomial Ward numbers. Most of the sequences are entered in the On-Line Encyclopedia of Integer Sequences. We give triangular recurrence relations, horizontal recurrence relations, generating functions and some recurrence relations of higher order obtained by using Sister Celine's general algorithm.
Cite
@article{arxiv.2508.04754,
title = {Recurrence Relations for Some Integer Sequences Related to Ward Numbers},
author = {Aleks Žigon Tankosič},
journal= {arXiv preprint arXiv:2508.04754},
year = {2025}
}