A new record for $1324$-avoiding permutations

Abstract

Refining an existing counting argument, we provide an improved upper bound for the number of 1324-avoiding permutations of a given length.

arXiv comment9 pages

References in corpus (3)

• On the Wilf-Stanley limit of 4231-avoiding permutations and a conjecture of Arratia
• Upper bounds for the Stanley-Wilf limit of 1324 and other layered patterns
• A new upper bound for 1324-avoiding permutations

Cited by in corpus (2)

• Pattern-Avoiding Involutions: Exact and Asymptotic Enumeration
• Schwarzian conditions for linear differential operators with selected differential Galois groups (unabridged version)