Benedict Vasco Normenyo, Salah Eddine Rihane, Alain Togbé
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引用次数: 1
摘要
设\（k\ge 2\）。众所周知的佩尔序列的一个推广是k-佩尔序列。对于该序列，前k个项是\（0，\ldots，0,1\），之后的每个项由线性递推$$\boot｛aligned｝P_n^｛（k）｝=2P_｛n-1｝^｛｛（k）｝+P_｛n-2｝^（k）}+\cdots+P_｛。\end｛aligned｝$$在本文中，我们扩展了先前的工作（Rihane和Togbé在Ann Math Inform 54:57–712021中），并研究了k-Pell序列中的Padovan和Perrin数。
Common terms of k-Pell numbers and Padovan or Perrin numbers
Let \(k\ge 2\). A generalization of the well-known Pell sequence is the k-Pell sequence. For this sequence, the first k terms are \(0,\ldots ,0,1\) and each term afterwards is given by the linear recurrence
In this paper, we extend the previous work (Rihane and Togbé in Ann Math Inform 54:57–71, 2021) and investigate the Padovan and Perrin numbers in the k-Pell sequence.
期刊介绍：
The Arabian Journal of Mathematics is a quarterly, peer-reviewed open access journal published under the SpringerOpen brand, covering all mainstream branches of pure and applied mathematics.
Owned by King Fahd University of Petroleum and Minerals, AJM publishes carefully refereed research papers in all main-stream branches of pure and applied mathematics. Survey papers may be submitted for publication by invitation only.To be published in AJM, a paper should be a significant contribution to the mathematics literature, well-written, and of interest to a wide audience. All manuscripts will undergo a strict refereeing process; acceptance for publication is based on two positive reviews from experts in the field.Submission of a manuscript acknowledges that the manuscript is original and is not, in whole or in part, published or submitted for publication elsewhere. A copyright agreement is required before the publication of the paper.Manuscripts must be written in English. It is the author''s responsibility to make sure her/his manuscript is written in clear, unambiguous and grammatically correct language.
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