On the Quadra Fibona-Pell and Hexa Fibona-Pell-Jacobsthal Sequences

Year 2019, Volume: 7 Issue: 2, 149 - 160, 15.10.2019

Hamza Menken , Orhan Dişkaya

https://doi.org/10.36753/mathenot.588787

Cited By: 2

Abstract

In this paper, we consider Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal, Jacobsthal-Lucas sequences. We introduce the quadra Fibona-Pell,Fibona-Jacobsthal and Pell-Jacobsthal and the hexa Fibona-Pell-Jacobsthal sequences whose components are the Fibonacci, Pell and Jacobsthal sequences. We derive the Binet-like formulas, the generating functions and the exponential generating functions of these sequences. Also, we obtain some binomial identities for them.

Keywords

Fibonacci sequence, Lucas sequence, Pell sequence, Jacobsthal sequence, Binet-like formula, generating function, exponential generating function

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