| Issue |
RAIRO-Theor. Inf. Appl.
Volume 59, 2025
Generation, enumeration and tiling
|
|
|---|---|---|
| Article Number | 13 | |
| Number of page(s) | 12 | |
| DOI | https://doi.org/10.1051/ita/2025013 | |
| Published online | 17 October 2025 | |
Pattern avoiding and q-decreasing binary words
Dipartimento di Matematica e Informatica “U. Dini”, Università di Firenze, Viale Morgagni 65, 50134 Firenze, Italy
* Corresponding author: stefano.bilotta@unifi.it
Received:
26
February
2025
Accepted:
6
September
2025
We provide a bijection between the set of the q-decreasing binary words (in the case where q is an irreducible positive rational number) and a set of binary words avoiding some patterns whose lengths depends on the number q. Moreover, for such a set we give the details of the construction, the generating function according to the length of its words, and the recurrence relation of the enumerating sequence, depending on q.
Mathematics Subject Classification: 05A15 / 05A19 / 68R15
Key words: Dyck paths / number sequences / combinatorial interpretation
© The authors. Published by EDP Sciences, 2025
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