Harmonic numbers, Catalan's triangle and mesh patterns

DOI10.1016/j.disc.2013.03.017zbMath1408.05004arXiv1209.6423OpenAlexW1992264530MaRDI QIDQ389209

Sergey Kitaev, Jeffrey Liese

Publication date: 20 January 2014

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.6423

zbMATH Keywords

distributionbijectiongeneralized Stirling numbersharmonic numbersCatalan's trianglemesh patterns

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Permutations, words, matrices (05A05)

Related Items

Extremal values on the harmonic number of trees ⋮ Some new binomial sums related to the Catalan triangle ⋮ Equidistributions of mesh patterns of length two ⋮ Equidistributions of mesh patterns of length two and Kitaev and Zhang's conjectures ⋮ Distributions of several infinite families of mesh patterns ⋮ The operators \(F_i\) on permutations, 132-avoiding permutations and inversions ⋮ Distributions of mesh patterns of short lengths ⋮ Frame patterns in \(n\)-cycles ⋮ \((a, b)\)-rectangle patterns in permutations and words

Uses Software

• OEIS

Cites Work

• Unnamed Item
• Mesh patterns and the expansion of permutation statistics as sums of permutation patterns
• Patterns in permutations and words.
• Describing West-3-stack-sortable permutations with permutation patterns
• Wilf-classification of mesh patterns of short length
• Avoidance of boxed mesh patterns on permutations
• Quadrant marked mesh patterns in alternating permutations
• Quadrant marked mesh patterns in alternating permutations. II
• Classification of bijections between 321- and 132-avoiding permutations
• Quadrant marked mesh patterns in 132-avoiding permutations I
• Quadrant marked mesh patterns in 132-avoiding permutations II
• Simple marked mesh patterns

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