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From the Fibonacci to Pell numbers and beyond via Dyck paths

From the Fibonacci to Pell numbers and beyond via Dyck paths AbstractIn 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Pure Mathematics and Applications de Gruyter

From the Fibonacci to Pell numbers and beyond via Dyck paths

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Publisher
de Gruyter
Copyright
© 2022 Elena Barcucci et al., published by Sciendo
eISSN
1788-800X
DOI
10.2478/puma-2022-0004
Publisher site
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Abstract

AbstractIn 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.

Journal

Pure Mathematics and Applications – de Gruyter

Published: Jun 1, 2022

Keywords: Dyck paths with bounded height; k-generalized Fibonacci; generalized Pell numbers; 05A15; 05A19

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