Belbachir, Hacéne; Bencherif, Farid; Szalay, László

Unimodality of certain sequences connected with binomial coefficients

J. Integer Seq. 10(2), Article 07.2.3, 9 p., electronic only (2007)

Summary

Summary: This paper is devoted to the study of certain unimodal sequences related to binomial coefficients. Although the paramount purpose is to prove unimodality, in a few cases we even determine the maxima of the sequences. Our new results generalize some earlier theorems on unimodality. The proof techniques are quite varied.

Mathematics Subject Classification

11B65, 05A10, 11B39

Keywords/Phrases

binomial coefficients, unimodality, log-concavity, linear recurrences

Downloads