Inversion sequences avoiding 021 and another pattern of length four - Archive ouverte HAL
Preprints, Working Papers, ... (Preprint) Year : 2023

Inversion sequences avoiding 021 and another pattern of length four

Gökhan Yıldırım
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Abstract

We study the enumeration of inversion sequences that avoid the pattern 021 and another pattern of length four. We determine the generating trees for all possible pattern pairs and compute the corresponding generating functions. We introduce the concept of dregular generating trees and conjecture that for any 021-avoiding pattern τ , the generating tree T ({021, τ }) is d-regular for some integer d.
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Dates and versions

hal-03871544 , version 1 (25-11-2022)
hal-03871544 , version 2 (24-05-2023)
hal-03871544 , version 3 (06-11-2023)

Identifiers

  • HAL Id : hal-03871544 , version 3

Cite

Toufik Mansour, Gökhan Yıldırım. Inversion sequences avoiding 021 and another pattern of length four. 2023. ⟨hal-03871544v3⟩
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