Unimodal Rays in the Regular and Generalized Pascal Pyramids

  • Hacène Belbachir
  • László Szalay

Abstract

The present paper shows that any sequence of integers laying along a finite ray in any Pascal-pyramid is log-concave, consequently unimodal. Further, we describe an algorithm which provides the plateaus of the diagonal sequences locating on layer $n$ of the regular Pascal pyramid.

Published
2011-03-31
Article Number
P79