Contents

Ars Combinatoria

  • Research article

Recounting the Number of Peaks and Valleys in Compositions of Integers

Mark Shattuck1
1Mathematics Department University of Tennessee Knoxville, TN 37996-1320
  • Published: 30/04/2017

Abstract

In this note, we provide a combinatorial proof of a recent formula for the total number of peaks and valleys (either strict or weak) within the set of all compositions of a positive integer into a fixed number of parts.

Information
Guidelines
CP Initiatives
Follow CP
Facebook X-twitter Linkedin

1970-2025 CP (Manitoba, Canada) unless otherwise stated.

Citation
Mark Shattuck. Recounting the Number of Peaks and Valleys in Compositions of Integers[J], Ars Combinatoria, Volume 132. 323-329. .