The 1-box pattern on pattern-avoiding permutations

Kitaev, Sergey and Remmel, Jeffrey (2014) The 1-box pattern on pattern-avoiding permutations. Journal of Integer Sequences, 17 (3). 14.3.3.

Abstract

This paper is continuation of the study of the 1-box pattern in permutations in- troduced previously by the authors. We derive a two-variable generating function for the distribution of this pattern on 132-avoiding permutations, and then study some of its coefficients providing a link to the Fibonacci numbers. We also find the number of separable permutations with two and three occurrences of the 1-box pattern.

ORCID iDs

Kitaev, Sergey ORCID: https://orcid.org/0000-0003-3324-1647

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• Item metadata

  Item type:	Article
  ID code:	49880
  Dates:	Date Event 15 February 2014 Published
  Keywords:	1-box pattern, pattern avoidance, pattern avoiding permutation, Electronic computers. Computer science, Discrete Mathematics and Combinatorics
  Subjects:	Science > Mathematics > Electronic computers. Computer science
  Department:	Faculty of Science > Computer and Information Sciences
  Depositing user:	Pure Administrator
  Date deposited:	17 Oct 2014 10:13
  Last modified:	23 Sep 2022 01:10
  Related URLs:	Journal or Publication
  URI:	https://strathprints.strath.ac.uk/id/eprint/49880