Connecting the Stirling numbers and k-bonacci sums

2024/07/25 by Muhammad Adam Dombrowski, Dombrowski, Muhammad Adam
Mathematics · #Advanced Combinatorial Mathematics #Advanced Differential Equations and Dynamical Systems #Combinatorics (math.CO) #FOS: Mathematics #Mathematical Inequalities and Applications

paper · pdf · doi:10.48550/arxiv.2407.18355

openalex publication_date 2024/07/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper proves why the Stirling numbers show up in a experimentally determined formula for the k-bonaccis. We develop a bijection between a previously determined summation formula for k-bonaccis and an experimentally determined formula, proven algebraically.

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