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  1. Home > Articles & Issues >
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  3. The number of {1243, ...
Article

The number of {1243, 2134}-avoiding permutations

David Callan (1)
(1) Department of Statistics, University of Wisconsin-Madison, USA
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Submitted on
March 15, 2019
Accepted on
March 6, 2023
Published on
March 16, 2023
Last modified on
March 27, 2025
Special issue 22
vol. 22:2, Permutation Patterns 2019
DOI
10.46298/dmtcs.5287
License
arXiv.org - Non-exclusive license to distribute
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The number of {1243, 2134}-avoiding permutations

David Callan (1)
(1) Department of Statistics, University of Wisconsin-Madison, USA
Abstract
We show that the counting sequence for permutations avoiding both of the (classical) patterns 1243 and 2134 has the algebraic generating function supplied by Vaclav Kotesovec for sequence A164651 in The On-Line Encyclopedia of Integer Sequences. Comment: 8 pages, 2 figures, final version, to appear, Discrete Mathematics & Theoretical Computer Science (DMTCS)
Keywords
  • Mathematics - Combinatorics
  • 05A15
Mathematics Subject Classification 2020
  • 05A05 - Permutations, words, matrices
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