Base-b analogues of classic combinatorial objects

2016/07/09 by Tanay Wakhare, Wakhare, Tanay, Christophe Vignat +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1607.02564

openalex publication_date 2016/07/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the properties of the base-b binomial coefficient defined by Jiu and the second author, introduced in the context of a digital binomial theorem. After introducing a general summation formula, we derive base-b analogues of the Stirling numbers of the second kind, the Fibonacci numbers and the classical exponential function.

Citations

• A Digital Binomial Theorem

Cited by

• Generalized Riordan arrays and zero generalized Pascal matrices

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