Compositions of positive integers with 2s and 3s
IF 2
3区 数学
Q1 MATHEMATICS
引用次数: 0
Abstract
Abstract In this article, we consider compositions of positive integers with 2s and 3s. We see that these compositions lead us to results that involve Padovan numbers, and we give some tiling models of these compositions. Moreover, we examine some tiling models of the compositions related to the Padovan polynomials and prove some identities using the tiling model’s method. Next, we obtain various identities of the compositions of positive integers with 2s and 3s related to the Padovan numbers. The number of palindromic compositions of this type is determined, and some numerical arithmetic functions are defined. Finally, we provide a table that compares all of the results obtained from compositions of positive integers with 2s and 3s.正整数与2s和3s的组合
摘要在本文中，我们考虑具有2s和3s的正整数的组成。我们看到这些组成导致了涉及帕多瓦数的结果，我们给出了这些组成的一些平铺模型。此外，我们还检验了一些与Padovan多项式有关的组成的平铺模型，并用平铺模型的方法证明了一些恒等式。接下来，我们得到了与帕多瓦数有关的具有2s和3s的正整数的组成的各种恒等式。确定了这种类型的回文组合的数量，并定义了一些数值算术函数。最后，我们提供了一个表，将从具有2s和3s的正整数的组合中获得的所有结果进行比较。
本文章由计算机程序翻译，如有差异，请以英文原文为准。
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来源期刊
Demonstratio Mathematica
MATHEMATICS-
CiteScore
2.40
自引率
5.00%
发文量
37
审稿时长
35 weeks
期刊介绍：
Demonstratio Mathematica publishes original and significant research on topics related to functional analysis and approximation theory. Please note that submissions related to other areas of mathematical research will no longer be accepted by the journal. The potential topics include (but are not limited to): -Approximation theory and iteration methods- Fixed point theory and methods of computing fixed points- Functional, ordinary and partial differential equations- Nonsmooth analysis, variational analysis and convex analysis- Optimization theory, variational inequalities and complementarity problems- For more detailed list of the potential topics please refer to Instruction for Authors. The journal considers submissions of different types of articles. "Research Articles" are focused on fundamental theoretical aspects, as well as on significant applications in science, engineering etc. “Rapid Communications” are intended to present information of exceptional novelty and exciting results of significant interest to the readers. “Review articles” and “Commentaries”, which present the existing literature on the specific topic from new perspectives, are welcome as well.
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