Journal of Integer Sequences, Vol. 11 (2008), Article 08.2.4

Unimodal Rays in the Ordinary and Generalized Pascal Triangles


Hacène Belbachir
USTHB, Faculty of Mathematics
P. O. 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:

The present paper provides the solution of two problems recently posed by Bencherif, Belbachir and Szalay. For example, they conjectured that any sequence of binomial coefficients lying along a ray in Pascal's triangle is unimodal.

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(Concerned with sequences A000045 and A000073 .)

Received May 6 2008; revised version received June 9 2008. Published in Journal of Integer Sequences, June 20 2008.

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