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DC Field | Value | Language |
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dc.contributor.author | Гой, Тарас Петрович | - |
dc.contributor.author | Шарин, Сергій Володимирович | - |
dc.date.accessioned | 2020-08-21T12:30:59Z | - |
dc.date.available | 2020-08-21T12:30:59Z | - |
dc.date.issued | 2020 | - |
dc.identifier.citation | Goy , T. A note on Pell-Padovan numbers and their connection with Fibonacci numbers / T. Goy, S. Sharyn // Carpathian Mathematical Publicationss, 2020. – 12 (2). – P. 280-288. | uk_UA |
dc.identifier.uri | http://hdl.handle.net/123456789/7968 | - |
dc.description.abstract | In this paper, we find new relations involving the Pell-Padovan sequence which arise as determinants of certain families of Toeplitz-Hessenberg matrices. These determinant formulas may be rewritten as identities involving sums of products of Pell-Padovan numbers and multinomial coefficients. In particular, we establish four connection formulas between the Pell-Padovan and the Fibonacci sequences via Toeplitz-Hessenberg determinants. | uk_UA |
dc.language.iso | en_US | uk_UA |
dc.subject | Pell-Padovan sequence | uk_UA |
dc.subject | Fibonacci sequence | uk_UA |
dc.subject | Toeplitz-Hessenberg matrix | uk_UA |
dc.subject | Trudi’s formula | uk_UA |
dc.title | A note on Pell-Padovan numbers and their connection with Fibonacci numbers | uk_UA |
dc.type | Article | uk_UA |
Appears in Collections: | Статті та тези (ФМІ) |
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3954-PDF file-8976-3-10-20200814 (4).pdf | 122.26 kB | Adobe PDF | View/Open |
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