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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

A study on dual hyperbolic generalized Pell numbers

Yüksel Soykan, Mehmet Gumus, Melih Gocen · Malaya Journal of Matematik · 2022

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