Average of the Fibonacci Numbers

被引：0
|
作者：
Fatehizadeh, Amirali [1 ]
Yaqubi, Daniel [2 ]
机构：
[1] Sharif Univ Technol, Dept Math Sci, Tehran, Iran
[2] Univ Torbate Jam, Dept Comp Sci, Torbate Jam, Iran
来源：
JOURNAL OF INTEGER SEQUENCES | 2022年 / 25卷 / 02期
关键词：
Fibonacci number; Lucas number; Pisano period; rank of appearance; restricted period;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The arithmetic mean of the first n Fibonacci numbers is not an integer for all n. However, for some values of n, it is. In this paper we consider the sequence of integers n for which the average of the first n. Fibonacci numbers is an integer. We prove some interesting properties and present two related conjectures.
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页数：10
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