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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| Format: | Article |
| Language: | English |
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Tokat Gaziosmanpasa University
2022-04-01
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| Series: | Journal of New Results in Science |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/2381785 |
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| author | Adem Şahin |
| author_facet | Adem Şahin |
| author_sort | Adem Şahin |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-a94fa06d3bb346f89305206724c3a6e7 |
| institution | DOAJ |
| issn | 1304-7981 |
| language | English |
| publishDate | 2022-04-01 |
| publisher | Tokat Gaziosmanpasa University |
| record_format | Article |
| series | Journal of New Results in Science |
| spelling | doaj-art-a94fa06d3bb346f89305206724c3a6e72025-08-20T02:41:08ZengTokat Gaziosmanpasa UniversityJournal of New Results in Science1304-79812022-04-01111919910.54187/jnrs.1105346142Square numbers, square pyramidal numbers, and generalized Fibonacci polynomialsAdem Şahin0https://orcid.org/0000-0001-5739-4117TOKAT GAZİOSMANPAŞA ÜNİVERSİTESİIn 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.https://dergipark.org.tr/en/download/article-file/2381785square numberssquare pyramidalnumbergeneralized fibonaccipolynomials |
| spellingShingle | Adem Şahin Square numbers, square pyramidal numbers, and generalized Fibonacci polynomials Journal of New Results in Science square numbers square pyramidalnumber generalized fibonaccipolynomials |
| title | Square numbers, square pyramidal numbers, and generalized Fibonacci polynomials |
| title_full | Square numbers, square pyramidal numbers, and generalized Fibonacci polynomials |
| title_fullStr | Square numbers, square pyramidal numbers, and generalized Fibonacci polynomials |
| title_full_unstemmed | Square numbers, square pyramidal numbers, and generalized Fibonacci polynomials |
| title_short | Square numbers, square pyramidal numbers, and generalized Fibonacci polynomials |
| title_sort | square numbers square pyramidal numbers and generalized fibonacci polynomials |
| topic | square numbers square pyramidalnumber generalized fibonaccipolynomials |
| url | https://dergipark.org.tr/en/download/article-file/2381785 |
| work_keys_str_mv | AT ademsahin squarenumberssquarepyramidalnumbersandgeneralizedfibonaccipolynomials |