Note on Doron Zeilberger's paper: 5 \choose 2 proofs that n \choose k ≤ n \choose k+1 if k < n/2

2010/04/16 by Murali K. Srinivasan, Srinivasan, Murali K.
Mathematics · #Advanced Differential Equations and Dynamical Systems #Analytic Number Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Mathematics and Applications #math.CO

paper · pdf · doi:10.48550/arxiv.1004.2759

arxiv created 2010/04/16 · openalex publication_date 2010/04/16 · arxiv updated 2010/04/19 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

We present yet another algebraic proof of the unimodality of the binomial coefficients.

Related

• A variation on bisecting the binomial coefficients
• A combinatorial proof of strict unimodality for q-binomial coefficients
• q-Binomials and related symmetric unimodal polynomials
• Unimodality via Kronecker products
• Binomial coefficients with divisors avoiding an interval