Fibonacci Identities Involving Reciprocals of Binomial Coefficients

2021/11/19 by Kunle Adegoke, Adegoke, Kunle
Mathematics · Physics and Astronomy · #11B37 #11B39 #Advanced Mathematical Identities #Advanced Mathematical Theories #Advanced Mathematical Theories and Applications #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2112.00622

openalex publication_date 2021/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive some Fibonacci and Lucas identities which contain inverse binomial coefficients. Extension of the results to the general Horadam sequence is possible, in some cases.

Related

• Binomial sum relations involving Fibonacci and Lucas numbers
• Bicomplex Lucas and Horadam Numbers
• Fibonacci identities from Jordan Identities
• On Horadam-Lucas sequence
• Fibonacci Numbers and Identities