Square numbers, square pyramidal numbers, and generalized Fibonacci polynomials

In this paper, we derive two interesting formulas for square and square pyramidal numbers. We focus on the linear recurrence relation with constant coefficients for square and square pyramidal numbers. Then we deal with the relationship between generalized Fibonacci polynomials and these numbers. Al...

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Bibliographic Details
Main Author: Adem Şahin
Format: Article
Language:English
Published: Tokat Gaziosmanpasa University 2022-04-01
Series:Journal of New Results in Science
Subjects:
Online Access:https://dergipark.org.tr/en/download/article-file/2381785
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Summary:In this paper, we derive two interesting formulas for square and square pyramidal numbers. We focus on the linear recurrence relation with constant coefficients for square and square pyramidal numbers. Then we deal with the relationship between generalized Fibonacci polynomials and these numbers. Also, we give some determinant representations of these numbers.
ISSN:1304-7981