Research Article

ON GENERALIZED SİXTH-ORDER PELL SEQUENCES

Volume: 4 Number: 1 January 31, 2020
TR EN

ON GENERALIZED SİXTH-ORDER PELL SEQUENCES

Abstract

In this paper, we investigate the generalized sixth order Pell sequences and we deal with, in detail, three special cases which we call them as sixth order Pell, sixth order Pell-Lucas and modified sixth order Pell sequences.

Keywords

References

  1. [1] Bicknell, N., A primer on the Pell sequence and related sequence, Fibonacci Quarterly, 13(4), 345-349, 1975.
  2. [2] Dasdemir, A., On the Pell, Pell-Lucas and Modi.ed Pell Numbers By Matrix Method, Applied Mathematical Sciences, 5(64), 3173-3181, 2011.
  3. [3] Ercolano, J., Matrix generator of Pell sequence, Fibonacci Quarterly, 17(1), 71-77, 1979.
  4. [4] Gökbas, H., Köse, H., Some sum formulas for products of Pell and Pell-Lucas numbers, Int. J. Adv. Appl. Math. and Mech. 4(4), 1-4, 2017.
  5. [5] Hanusa, C., A Generalized Binet.s Formula for kth Order Linear Recurrences: A Markov Chain Approach, Harvey Mudd College, Undergraduate Thesis (Math Senior Thesis), 2001.
  6. [6] Horadam, A. F., Pell identities, Fibonacci Quarterly, 9(3), 245-263, 1971.
  7. [7] Kalman, D., Generalized Fibonacci Numbers By Matrix Methods, Fibonacci Quarterly, 20(1), 73-76, 1982.
  8. [8] Kiliç, E., Ta¸sçi, D., The Linear Algebra of The Pell Matrix, Boletín de la Sociedad Matemática Mexicana, 3(11), 2005.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

January 31, 2020

Submission Date

October 26, 2019

Acceptance Date

January 14, 2020

Published in Issue

Year 2020 Volume: 4 Number: 1

APA
Soykan, Y. (2020). ON GENERALIZED SİXTH-ORDER PELL SEQUENCES. Journal of Scientific Perspectives, 4(1), 49-70. https://doi.org/10.26900/jsp.4.005
AMA
1.Soykan Y. ON GENERALIZED SİXTH-ORDER PELL SEQUENCES. JSP. 2020;4(1):49-70. doi:10.26900/jsp.4.005
Chicago
Soykan, Yüksel. 2020. “ON GENERALIZED SİXTH-ORDER PELL SEQUENCES”. Journal of Scientific Perspectives 4 (1): 49-70. https://doi.org/10.26900/jsp.4.005.
EndNote
Soykan Y (January 1, 2020) ON GENERALIZED SİXTH-ORDER PELL SEQUENCES. Journal of Scientific Perspectives 4 1 49–70.
IEEE
[1]Y. Soykan, “ON GENERALIZED SİXTH-ORDER PELL SEQUENCES”, JSP, vol. 4, no. 1, pp. 49–70, Jan. 2020, doi: 10.26900/jsp.4.005.
ISNAD
Soykan, Yüksel. “ON GENERALIZED SİXTH-ORDER PELL SEQUENCES”. Journal of Scientific Perspectives 4/1 (January 1, 2020): 49-70. https://doi.org/10.26900/jsp.4.005.
JAMA
1.Soykan Y. ON GENERALIZED SİXTH-ORDER PELL SEQUENCES. JSP. 2020;4:49–70.
MLA
Soykan, Yüksel. “ON GENERALIZED SİXTH-ORDER PELL SEQUENCES”. Journal of Scientific Perspectives, vol. 4, no. 1, Jan. 2020, pp. 49-70, doi:10.26900/jsp.4.005.
Vancouver
1.Yüksel Soykan. ON GENERALIZED SİXTH-ORDER PELL SEQUENCES. JSP. 2020 Jan. 1;4(1):49-70. doi:10.26900/jsp.4.005