Notes on matrix of Fibonacci numbers

4th International Conference on Operational Research

Jehanshah, Rendy^1 ; Putra, Yan^1 ; Sirait, Debora E.^1 ; Mardiningsih^1 ; Zuhri^2

Department of Mathematics, University of Sumatera Utara, Medan

20155, Indonesia^1

STIM SUKMA Medan, KOPERTIS AREA 1, Medan, Indonesia^2

关键词: Binet formulas;    Fibonacci numbers;    M-matrices;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/300/1/012072/pdf
DOI  :  10.1088/1757-899X/300/1/012072

来源: IOP

【 摘 要 】

For integer m ≥ 3, we discuss m by m matrices of Fibonacci numbers that resemble the simplicity of Binet formula and maintain the calculation using only integer computation. We show that the m by m matrices of Fibonacci numbers will eventually store m + 1 distinct consecutive Fibonacci numbers.