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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