A note on Pell-Padovan numbers and their connection with Fibonacci numbers

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 part...

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Bibliographic Details
Main Authors: T.P. Goy, S.V. Sharyn
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2020-08-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/3954