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<p>In <italic>From Fibonacci to Catalan permutations</italic>, Barcucci et al., 2006, a journey by pattern avoiding permutations from the Fibonacci to Catalan sequences is illustrated. In this paper we make a similar journey, but on Dyck paths.</p>
</abstract>

In From Fibonacci to Catalan permutations, Barcucci et al., 2006, a journey by pattern avoiding permutations from the Fibonacci to Catalan sequences is illustrated. In this paper we make a similar journey, but on Dyck paths.

From the Fibonacci to Pell numbers and beyond via Dyck paths

Dipartimento di Matematica e Informatica “U. Dini”

Pure Mathematics and Applications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"From the Fibonacci to Pell numbers and beyond via Dyck paths"}

In From Fibonacci to Catalan permutations, Barcucci et al., 2006, a journey by pattern avoiding permutations from the Fibonacci to Catalan sequences is...

From the Fibonacci to Pell numbers and beyond via Dyck paths

Published Online: Jun 18, 2022

Page range: 17 - 22

Received: Mar 31, 2022

Accepted: May 15, 2022

DOI: https://doi.org/10.2478/puma-2022-0004

Keywords
Dyck paths with bounded height, k-generalized Fibonacci, generalized Pell numbers

© 2022 Elena Barcucci et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

From the Fibonacci to Pell numbers and beyond via Dyck paths

Published Online: Jun 18, 2022

Page range: 17 - 22

Received: Mar 31, 2022

Accepted: May 15, 2022

DOI: https://doi.org/10.2478/puma-2022-0004

KeywordsDyck paths with bounded height, k-generalized Fibonacci, generalized Pell numbers

© 2022 Elena Barcucci et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Dyck paths with bounded height, k-generalized Fibonacci, generalized Pell numbers