Journal of Integer Sequences, Vol. 10 (2007), Article 07.2.3

Unimodality of Certain Sequences Connected With Binomial Coefficients


Hacène Belbachir and Farid Bencherif
Department of Mathematics
USTHB
Po. Box 32
El Alia, Algiers
Algeria

László Szalay
Institute of Mathematics and Statistics
University of West Hungary
Erzsébet utca 9
H-9400 Sopron
Hungary

Abstract:

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.

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(Concerned with sequences A001519, A003522, and A005251 .)

Received November 27 2006; revised version received January 16 2007. Published in Journal of Integer Sequences January 17 2007.

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