关于Pellnomial系数和Pell-Catalan数

IF 0.3 Q4 MATHEMATICS

Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2022-11-22 DOI:10.12697/acutm.2022.26.14

A. Ipek

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引用次数: 0

摘要

本文首先给出了多项式系数的帕斯卡恒等式，然后证明了多项式系数是整数。我们得到r个连续的佩尔数的乘积可以被r!的佩尔类似数整除。同时，我们还引入了佩尔数与佩尔项系数之间的可整除定理。进一步，我们首先定义了Pell-Catalan数，然后推导了两个表示Pell-Catalan数的公式。

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On Pellnomial coefficients and Pell-Catalan numbers

In this paper, we first give the Pascal’s identity for Pellnomial coefficients and then we show that the Pellnomial coefficients are integers. We obtain that the product of r consecutive Pell numbers is divisible by the Pell analog of r!. Also, we introduce the divisibility theorems between Pell numbers and Pellnomial coefficients. Furthermore, we first define Pell–Catalan numbers and then we derive two formulas for presenting Pell–Catalan numbers.

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来源期刊

Acta et Commentationes Universitatis Tartuensis de Mathematica MATHEMATICS-

CiteScore

0.60

自引率

33.30%

发文量