Abstract
In this paper, we establish a recurrence relation for finding the generating function for the number of k-ary words of length n that avoid 1233 for arbitrary k. Comparable generating function formulas may also be found counting words where a single permutation pattern of length three is avoided in addition to 1233.
Original language | English |
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Journal | Art of Discrete and Applied Mathematics |
Volume | 5 |
Issue number | 1 |
DOIs | |
State | Published - 2021 |
Bibliographical note
Publisher Copyright:© 2021 University of Primorska.
Keywords
- Avoiding 1233
- Kernel method
- k-ary words
ASJC Scopus subject areas
- Applied Mathematics
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics