Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/7968
Title: A note on Pell-Padovan numbers and their connection with Fibonacci numbers
Authors: Гой, Тарас Петрович
Шарин, Сергій Володимирович
Keywords: Pell-Padovan sequence
Fibonacci sequence
Toeplitz-Hessenberg matrix
Trudi’s formula
Issue Date: 2020
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.
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.
URI: http://hdl.handle.net/123456789/7968
Appears in Collections:Статті та тези (ФМІ)

Files in This Item:
File Description SizeFormat 
3954-PDF file-8976-3-10-20200814 (4).pdf122.26 kBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.