Year 2019, Volume 7 , Issue 2, Pages 149 - 160 2019-10-15

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

Hamza MENKEN [1] , Orhan DİŞKAYA [2]


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.
Fibonacci sequence, Lucas sequence, Pell sequence, Jacobsthal sequence, Binet-like formula, generating function, exponential generating function
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Primary Language en
Subjects Engineering
Journal Section Articles
Authors

Orcid: 0000-0003-1194-3162
Author: Hamza MENKEN
Institution: MERSIN UNIVERSITY
Country: Turkey


Orcid: 0000-0001-9431-1234
Author: Orhan DİŞKAYA
Institution: MERSIN UNIVERSITY
Country: Turkey


Dates

Publication Date : October 15, 2019

Bibtex @research article { mathenot588787, journal = {Mathematical Sciences and Applications E-Notes}, issn = {}, eissn = {2147-6268}, address = {}, publisher = {Murat TOSUN}, year = {2019}, volume = {7}, pages = {149 - 160}, doi = {10.36753/mathenot.588787}, title = {On the Quadra Fibona-Pell and Hexa Fibona-Pell-Jacobsthal Sequences}, key = {cite}, author = {MENKEN, Hamza and DİŞKAYA, Orhan} }
APA MENKEN, H , DİŞKAYA, O . (2019). On the Quadra Fibona-Pell and Hexa Fibona-Pell-Jacobsthal Sequences. Mathematical Sciences and Applications E-Notes , 7 (2) , 149-160 . DOI: 10.36753/mathenot.588787
MLA MENKEN, H , DİŞKAYA, O . "On the Quadra Fibona-Pell and Hexa Fibona-Pell-Jacobsthal Sequences". Mathematical Sciences and Applications E-Notes 7 (2019 ): 149-160 <https://dergipark.org.tr/en/pub/mathenot/issue/49271/588787>
Chicago MENKEN, H , DİŞKAYA, O . "On the Quadra Fibona-Pell and Hexa Fibona-Pell-Jacobsthal Sequences". Mathematical Sciences and Applications E-Notes 7 (2019 ): 149-160
RIS TY - JOUR T1 - On the Quadra Fibona-Pell and Hexa Fibona-Pell-Jacobsthal Sequences AU - Hamza MENKEN , Orhan DİŞKAYA Y1 - 2019 PY - 2019 N1 - doi: 10.36753/mathenot.588787 DO - 10.36753/mathenot.588787 T2 - Mathematical Sciences and Applications E-Notes JF - Journal JO - JOR SP - 149 EP - 160 VL - 7 IS - 2 SN - -2147-6268 M3 - doi: 10.36753/mathenot.588787 UR - https://doi.org/10.36753/mathenot.588787 Y2 - 2019 ER -
EndNote %0 Mathematical Sciences and Applications E-Notes On the Quadra Fibona-Pell and Hexa Fibona-Pell-Jacobsthal Sequences %A Hamza MENKEN , Orhan DİŞKAYA %T On the Quadra Fibona-Pell and Hexa Fibona-Pell-Jacobsthal Sequences %D 2019 %J Mathematical Sciences and Applications E-Notes %P -2147-6268 %V 7 %N 2 %R doi: 10.36753/mathenot.588787 %U 10.36753/mathenot.588787
ISNAD MENKEN, Hamza , DİŞKAYA, Orhan . "On the Quadra Fibona-Pell and Hexa Fibona-Pell-Jacobsthal Sequences". Mathematical Sciences and Applications E-Notes 7 / 2 (October 2019): 149-160 . https://doi.org/10.36753/mathenot.588787
AMA MENKEN H , DİŞKAYA O . On the Quadra Fibona-Pell and Hexa Fibona-Pell-Jacobsthal Sequences. Math. Sci. Appl. E-Notes. 2019; 7(2): 149-160.
Vancouver MENKEN H , DİŞKAYA O . On the Quadra Fibona-Pell and Hexa Fibona-Pell-Jacobsthal Sequences. Mathematical Sciences and Applications E-Notes. 2019; 7(2): 160-149.