关于斐波那契类型数的若干多项式和

Q4 Mathematics

Tatra Mountains Mathematical Publications Pub Date : 2020-12-01 DOI:10.2478/tmmp-2020-0035

I. Włoch, A. Włoch

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引用次数: 4

摘要

摘要本文研究了由k阶线性递推定义的Fibonacci型序列。基于它们的伴随矩阵及其图形解释，我们确定了这些序列的多项式和二项式公式。此外，我们还提出了从Pascal三角形计算这些序列的单词的图形规则。

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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On Some Multinomial Sums Related to the Fibonacci Type Numbers

Abstract In this paper we investigate Fibonacci type sequences defined by kth order linear recurrence. Based on their companion matrix and its graph interpretation we determine multinomial and binomial formulas for these sequences. Moreover we present a graphical rule for calculating the words of these sequences from the Pascal’s triangle.

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来源期刊

Tatra Mountains Mathematical Publications Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

发文量