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


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.

Full version:  pdf,    dvi,    ps,    latex    

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

Return to Journal of Integer Sequences home page