Journal of Integer Sequences, Vol. 21 (2018), Article 18.1.6

Generalizations of the Reciprocal Fibonacci-Lucas Sums of Brousseau


Kunle Adegoke
Department of Physics and Engineering Physics
Obafemi Awolowo University
220005 Ile-Ife
Nigeria

Abstract:

We derive closed form expressions for finite and infinite Fibonacci-Lucas sums having products of Fibonacci or Lucas numbers in the denominator of the summand. Our results generalize and extend those obtained by pioneer Brother Alfred Brousseau and later researchers.


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Received October 27 2017; revised version received February 6 2018. Published in Journal of Integer Sequences, February 8 2018.


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