On the connections between Pell numbers and Fibonacci p-numbers

Autor:	Anthony G. Shannon, Ömür Deveci, Özgür Erdağ
Rok vydání:	2021
Předmět:	Combinatorics Fibonacci number Mathematics Pell number
Zdroj:	Notes on Number Theory and Discrete Mathematics. 27:148-160
ISSN:	2367-8275 1310-5132
DOI:	10.7546/nntdm.2021.27.1.148-160
Popis:	In this paper, we define the Fibonacci–Pell p-sequence and then we discuss the connection of the Fibonacci–Pell p-sequence with the Pell and Fibonacci p-sequences. Also, we provide a new Binet formula and a new combinatorial representation of the Fibonacci–Pell p-numbers by the aid of the n-th power of the generating matrix of the Fibonacci–Pell p-sequence. Furthermore, we derive relationships between the Fibonacci–Pell p-numbers and their permanent, determinant and sums of certain matrices.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::72e301333e3d6fbb6ecb103c7d7ed89b https://doi.org/10.7546/nntdm.2021.27.1.148-160 Zobrazit plný text záznamu