Evaluation of weighted Fibonacci sums of a certain type

2018/03/01 by Kunle Adegoke, Adegoke, Kunle
Mathematics · Physics and Astronomy · #11B37 #11B39 #65B10 #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #Analytic Number Theory Research #FOS: Mathematics #General Mathematics (math.GM)

paper · pdf · doi:10.48550/arxiv.1803.00921

openalex publication_date 2018/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive a formula for the evaluation of weighted generalized Fibonacci sums of the type S_kⁿ (w,r) = ∑_{j = 0}^k w^j j^r G_jⁿ . Several explicit evaluations are presented as examples.

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