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Arithmetic properties of q-Fibonacci numbers and q-pell numbers

โœ Scribed by Hao Pan


Book ID
111712853
Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
185 KB
Volume
306
Category
Article
ISSN
0012-365X

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Nondecreasing Dyck paths and q-Fibonacci
โœ E. Barcucci; A. Del Lungo; S. Fezzi; R. Pinzani ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 306 KB

In this paper, we introduce a subclass of the Dyck paths (Delest and Viennot, 1984) called nondecreasing Dyck paths which are enumerated by the Fibonacci numbers having odd indexes. We then use two different methods to enumerate these paths according to various parameters. By the first one, used in