Recurrence Relations for Some Integer Sequences Related to Ward Numbers
Aleks \v{Z}igon Tankosi\v{c}
TL;DR
This paper derives recurrence relations, identities, and generating functions for various integer sequences related to Ward numbers, many of which are cataloged in the OEIS, using advanced combinatorial algorithms.
Contribution
It introduces new recurrence relations and identities for Ward-related sequences, including higher-order recurrences obtained via Sister Celine's algorithm.
Findings
Derived recurrence relations for Ward-Lah, varied Ward, and binomial Ward numbers.
Provided generating functions for these sequences.
Connected sequences to entries in the OEIS.
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.
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