Integral Values of the Generating Functions of Fibonacci and Lucas Numbers

Hong recently explored when the value of the generating function of the Fibonacci sequence is an integer. He noticed a pattern and raised some questions about it. Here, we completely answer those questions.

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Bibliographic Details
Published in:The College mathematics journal 2017-03, Vol.48 (2), p.97-101
Main Author: Pongsriiam, Prapanpong
Format: Article
Language:English
Subjects:
College mathematics
Fibonacci numbers
Generating function
Integer programming
Integers
Integrals
Intervals of convergence
Mathematical integrals
Mathematical theorems
Mathematics
Numbers
Rational numbers
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Description
Summary:Hong recently explored when the value of the generating function of the Fibonacci sequence is an integer. He noticed a pattern and raised some questions about it. Here, we completely answer those questions.
ISSN:0746-8342
1931-1346
DOI:10.4169/college.math.j.48.2.97