descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Mar 2021Publisher:Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences)Journal:Notes on Number Theory and Discrete Mathematics, volume 27, pages 148-160 (issn: 1310-5132, eissn: 2367-8275,

Authors: Anthony G. Shannon; Ömür Deveci; Özgür Erdağ;

doi: 10.7546/nntdm.2021.27.1.148-160

On the connections between Pell numbers and Fibonacci p-numbers

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Abstract

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.

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Kafkas University
Turkey
UNSW Sydney
Australia

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