Catalan transform of the k-Pell, k-Pell–Lucas and modified k-Pell sequence

Autor:	Merve Taştan, Engin Özkan
Rok vydání:	2021
Předmět:	Combinatorics language Catalan language.human_language Pell number Mathematics
Zdroj:	Notes on Number Theory and Discrete Mathematics. 27:198-207
ISSN:	2367-8275 1310-5132
DOI:	10.7546/nntdm.2021.27.1.198-207
Popis:	In this study, we present the Catalan transforms of the k-Pell sequence, the k-Pell–Lucas sequence and the Modified k-Pell sequence and examine the properties of the sequences. Then we apply the Hankel transform to the Catalan transforms of the k-Pell sequence, the Catalan transform of the k-Pell–Lucas sequence and the Catalan transform of the Modified k-Pell sequence. Also, we obtain the generating functions of the Catalan transform of the k-Pell sequence, k-Pell–Lucas sequence and Modified k-Pell sequence. Furthermore, we acquire an interesting characteristic related to the determinant of the Hankel transform of the sequences.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3ccb9b5302975a42d50da8f5d64df954 https://doi.org/10.7546/nntdm.2021.27.1.198-207 Zobrazit plný text záznamu