广义斐波那契-列奥纳多数

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-10-04 DOI:10.1080/10236198.2023.2265509

Urszula Bednarz, Małgorzata Wołowiec-Musiał

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引用次数: 0

摘要

摘要本文利用图中具有多重性的独立集，引入了广义Fibonacci - Leonardo数，它是经典Fibonacci数和Leonardo数的一般推广。给出了Binet公式和生成函数，并证明了一些广义fibonaci - leonardo数的恒等式。我们还为引入的数定义了矩阵生成器。关键词:斐波那契数莱昂纳多数独立集矩阵生成器ams分类:11B3711B3911C20致谢感谢审稿人对本文的改进提出的建议。披露声明作者未报告潜在的利益冲突。

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Generalized Fibonacci–Leonardo numbers

AbstractIn this paper, by means of independent sets in a graph with multiplicity assigned to each set, we introduce generalized Fibonacci–Leonardo numbers, which are the common generalization of the classical Fibonacci and Leonardo numbers. We give the Binet formula, the generating function, and we prove some identities for generalized Fibonacci–Leonardo numbers. We also define matrix generators for the introduced numbers.Keywords: Fibonacci numbersLeonardo numbersindependent setsmatrix generatorAMS CLASSIFICATIONS: 11B3711B3911C20 AcknowledgmentsThe authors wish to thank the referee for all suggestions which improved this paper.Disclosure statementNo potential conflict of interest was reported by the author(s).

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.