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Generalizations for reciprocal Fibonacci-Lucas sums of Brousseau

Published 16 Mar 2017 in math.NT | (1703.06075v4)

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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