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

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Mathematical Sciences and Applications E-Notes
Volume:7 Issue:2
On the Quadra Fibona-Pell and Hexa Fibona-Pell-Jacobsthal Sequences

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

Authors : Hamza MENKEN, Orhan DİŞKAYA

Pages : 149-160

Doi:10.36753/mathenot.588787

View : 54 | Download : 9

Publication Date : 2019-10-15

Article Type : Research Paper

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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