Inversion polynomials for 321-avoiding permutations

  title={Inversion polynomials for 321-avoiding permutations},
  author={Szu-En Cheng and Sergi Elizalde and Anisse Kasraoui and Bruce E. Sagan},
  journal={Discrete Mathematics},
We prove a generalization of a conjecture of Dokos, Dwyer, Johnson, Sagan, and Selsor giving a recursion for the inversion polynomial of 321-avoiding permutations. We also answer a question they posed about finding a recursive formulas for the major index polynomial of 321-avoiding permutations. Other properties of these polynomials are investigated as well. Our tools include Dyck and 2-Motzkin paths, polyominoes, and continued fractions. 

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Continued fractions, volume 11 of Encyclopedia of Mathematics and its Applications

  • William B. Jones, Wolfgang J. Thron
  • 1980
Highly Influential
3 Excerpts

Sagan and Carla D . Savage . Mahonian pairs

  • E. Bruce
  • J . Combin . Theory Ser . A
  • 2012

Sagan . Congruences for Catalan and Motzkin numbers and related sequences

  • Emeric Deutsch, E Bruce
  • J . Number Theory
  • 2006

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