Finite and infinite sums involving reciprocals of products of Gibonacci numbers
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.
Authors
- Robert Frontczak (ORCID: https://orcid.org/0000-0002-9373-5297)
- Kunle Adegoke (ORCID: https://orcid.org/0000-0002-3933-0459)
- Karol Gryszka (ORCID: https://orcid.org/0000-0002-3258-3330)
Institutions
- Shanghai Municipal Education Commission (CN)
- Obafemi Awolowo University (NG)
- Reutlingen University (DE)
Publication Details
- Journal
- The Fibonacci Quarterly
- Published
- 2026-08-14
- DOI
- https://doi.org/10.1080/00150517.2026.2683999
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00