Physics & Spacearticle2026-08-14

Finite and infinite sums involving reciprocals of products of Gibonacci numbers

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Abstract

We prove many identities involving sums with products of Gibonacci numbers in the denominator. Three of our results provide generalizations of problems published in The Fibonacci Quarterly. We also study Brousseau sums with Gibonacci entries.

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View paper (DOI)Open access versionOpenAlexThe Fibonacci QuarterlyPublished 2026-08-14

Authors: Kunle Adegoke, Robert Frontczak, Karol Gryszka

Institutions: Obafemi Awolowo University, Reutlingen University, Shanghai Municipal Education Commission