Generalizations for reciprocal Fibonacci-Lucas sums of Brousseau

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.

arXiv commentAdded more theorems

References in corpus (1)

• Some remarkable infinite product identities involving Fibonacci and Lucas numbers

Cited by in corpus (3)

• Factored closed-form expressions for the sums of cubes of Fibonacci and Lucas numbers
• Sums of arctangents and sums of products of arctangents
• Symmetry properties of finite sums involving generalized Fibonacci numbers