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.

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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

and Remmel, Jeffrey;

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:	01 Jan 2021 11:05
Related URLs:	Journal or Publication
URI:	https://strathprints.strath.ac.uk/id/eprint/49880

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