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Research Article Open access CC BY 4.0

On Generalized Third-Order Pell Numbers

Yüksel Soykan

Asian Journal of Advanced Research and Reports · pp. 1–18 · Published 25 Sep 2019

10.9734/ajarr/2019/v6i130144

Abstract

In this paper, we investigate the generalized third order Pell sequences and we deal with, in detail, three special cases which we call them third order Pell, third order Pell-Lucas and modified third order Pell sequences. We present Binet’s formulas, generating functions, Simson formulas, and the summation formulas for these sequences. Moreover, we give some identities and matrices related with these sequences.

Pell numbers third order Pell numbers third order Pell-Lucas numbers.

Cited by 27

A study on dual hyperbolic generalized Pell numbers

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

Summing Formulas for Generalized Tribonacci Numbers

Yüksel SOYKAN · Universal Journal of Mathematics and Applications · 2020

Girard-Waring Type Formula for a Generalized Fibonacci Sequence

Kai Wang · The Fibonacci Quarterly · 2020

On the Recurrence Properties of Generalized Tribonacci Sequence

Yüksel Soykan · Earthline Journal of Mathematical Sciences · 2021

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