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Research Article Open access CC BY 4.0

A Study of Generalized Fourth-Order Pell Sequences

Y üksel Soykan

Journal of Scientific Research and Reports · pp. 1–18 · Published 19 Oct 2019

10.9734/jsrr/2019/v25i1-230177

Abstract

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

Pell numbers fourth order Pell numbers fourth order Pell-Lucas numbers.

References (9)

  1. 1 Pell and Pell–Lucas Numbers with Applications [DOI]
  2. 2 THE GENERALIZED BINET FORMULA, REPRESENTATION AND SUMS OF THE GENERALIZED ORDER-$k$ PELL NUMBERS [DOI]
  3. 3 THE LINEAR ALGEBRA OF THE PELL MATRIX
  4. 4 Binet – Type Formula For The Sequence of Tetranacci Numbers by Alternate Methods [DOI]
  5. 5 Gaussian Generalized Tetranacci Numbers
  6. 6 On Generalized Third-Order Pell Numbers [DOI]
  7. 7 On the sum of Pell and Jacobsthal numbers by matrix method
  8. 8 A Note on Generalized k-Pell Numbers and Their Determinantal Representation [DOI]
  9. 9 The On-Line Encyclopedia of Integer Sequences [DOI]

Cited by 12

Binomial Transform of the Generalized Fourth Order Pell Sequence

Y. Soykan · Archives of Current Research International · 2021

A Study On the Recurrence Properties of Generalized Tetranacci Sequence

Y. Soykan · International Journal of Mathematics Trends and Technology · 2021

Properties of Generalized (r,s,t,u)-Numbers

Y. Soykan · Earthline Journal of Mathematical Sciences · 2020

Properties of Generalized Fifth-Order Pell Numbers

Y. Soykan · Asian Research Journal of Mathematics · 2019

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