Average of the Fibonacci Numbers
Department of Mathematical Sciences
Sharif University of Technology
Department of Computer Science
University of Torbat-e Jam
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.
Full version: pdf,
(Concerned with sequences
Received July 30 2021; revised version received August 27 2021; November 2 2021; February 7 2022.
Published in Journal of Integer Sequences,
February 7 2022.
Journal of Integer Sequences home page