A Diophantine equation including Fibonacci and Fibonomial coefficients

IF 0.7 Q2 MATHEMATICS

Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics Pub Date : 2023-08-01 DOI:10.31801/cfsuasmas.1247415

Nurettin IRMAK

引用次数: 0

Abstract

In this paper, we solve the equation \begin{equation*} \sum_{k=0}^{m} {{2m+1}\brack{k}}_{F}\pm F_{t}=F_{n}, \end{equation*}% under weak assumptions. Here, $F_n$ is $n^{th}$ Fibonacci number and ${{.}\brack {.}}_{F}$ denotes Fibonomial coefficient.

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一个丢番图方程，包括斐波那契系数和斐波那契系数

本文对该方程进行了求解 \begin{equation*} \sum_{k=0}^{m} {{2m+1}\brack{k}}_{F}\pm F_{t}=F_{n}, \end{equation*}% under weak assumptions. Here, $F_n$ is $n^{th}$ Fibonacci number and ${{.}\brack {.}}_{F}$ denotes Fibonomial coefficient.

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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Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics MATHEMATICS-

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