莱昂纳多组合方法说明

R. Vieira, F. R. Alves, Paula Maria Machado Cruz Catarino
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引用次数: 0

摘要

这项研究的目的是对莱昂纳多的组合方法进行研究,以便能够通过组合解释将这些数字形象化。因此,在对斐波那契数列进行组合研究的基础上,正在开发有关线性数列和循环数列的方法和途径的研究。事实上,斐波那契数列与其他数列有关,其中之一是莱昂纳多数列,该领域的一些研究人员认为莱昂纳多数列与斐波那契数列有相似之处。鉴于这种情况,本研究探讨了莱昂纳多数列的组合解释,考虑到卢卡斯数列中木板和手镯的概念,允许定义莱昂纳多的组合模型。作为研究成果,本研究涉及序列内容与组合分析领域的整合,从而使莱昂纳多序列在数学上得到提升。此外,您还可以将序列号直观地显示在瓷砖前面。本研究的内容与数学史中的序列教学相关联,使数学教学成为可能。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Note on Leonardo’s Combinatorial Approach
The purpose of this research is to carry out a study of Leonardo's combinatorial approach so that it is possible to visualize these numbers through combinatorial interpretation. Thus, research is being developed regarding methods and approaches to linear and recurring sequences, based on the combinatorial study of the Fibonacci sequence. In fact, the Fibonacci sPquence is related to other sequences, one of which is the Leonardo sequence, which has similarities with the Fibonacci numbers according to some researchers in the field. Given this scenario, the present research addresses the combinatorial interpretation of Leonardo's sequence, allowing the definition of Leonardo's combinatorial model, considering the notion of board and bracelets in Lucas' sequence. As research results, the study deals with the integration of sequence content with the area of Combinatorial Analysis, allowing a mathematical advancement of Leonardo's sequence. Furthermore, you can visualize the sequence numbers in front of the tiles. The aspects studied in this research are linked to the teaching of sequences in the History of Mathematics, allowing the teaching of Mathematics.
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