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.
引用
收藏
页数：10
相关论文
共 50 条
  • [41] AN APPLICATION OF FIBONACCI NUMBERS
    SIVARAMA.N
    PRENER, R
    [J]. AMERICAN MATHEMATICAL MONTHLY, 1968, 75 (10): : 1117 - &
  • [42] AN EXTENSION OF FIBONACCI NUMBERS
    ARKIN, J
    [J]. AMERICAN MATHEMATICAL MONTHLY, 1965, 72 (03): : 275 - &
  • [43] MORE ON THE FIBONACCI NUMBERS
    TUTTLE, MS
    [J]. M D COMPUTING, 1992, 9 (01): : 12 - 12
  • [44] A result on Fibonacci numbers
    Welukar, R. M.
    Deshpande, M. N.
    [J]. MATHEMATICAL GAZETTE, 2005, 89 (516): : 455 - +
  • [45] An Inequality with Fibonacci Numbers
    Ohtsuka, Hideyuki
    Bruckman, Paul
    Luis Diaz-Barrero, Jose
    [J]. FIBONACCI QUARTERLY, 2013, 51 (01): : 95 - +
  • [46] GENERALIZATION OF FIBONACCI NUMBERS
    RECSKI, A
    [J]. FIBONACCI QUARTERLY, 1975, 13 (04): : 315 - 317
  • [47] FIBONACCI NUMBERS AND IDENTITIES
    Lang, Cheng Lien
    Lang, Mong Lung
    [J]. FIBONACCI QUARTERLY, 2013, 51 (04): : 330 - 338
  • [48] RESIDUES OF FIBONACCI NUMBERS
    WYLER, O
    ROBINSON, DW
    [J]. AMERICAN MATHEMATICAL MONTHLY, 1965, 72 (06): : 680 - +
  • [49] GENERALIZED FIBONACCI NUMBERS
    MILLER, MD
    [J]. AMERICAN MATHEMATICAL MONTHLY, 1971, 78 (10): : 1108 - &
  • [50] Fibonacci factoriangular numbers
    Gomez Ruiz, Carlos Alexis
    Luca, Florian
    [J]. INDAGATIONES MATHEMATICAE-NEW SERIES, 2017, 28 (04): : 796 - 804
12345