The Raney numbers and \((s,s+1)\)-core partitions

DOI10.1016/j.ejc.2016.08.003zbMath1348.05026arXiv1512.08080OpenAlexW2963241931MaRDI QIDQ326657

Robin D. P. Zhou, Sherry H. F. Yan

Publication date: 12 October 2016

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.08080

zbMATH Keywords

coral diagrams

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Other combinatorial number theory (11B75) Elementary theory of partitions (11P81)

Related Items (6)

Johnson's bijections and their application to counting simultaneous core partitions ⋮ Injectively \(k\)-colored rooted forests ⋮ Dihedral sieving on cluster complexes ⋮ A bijective proof of Amdeberhan's conjecture on the number of \((s, s + 2)\)-core partitions with distinct parts ⋮ On self-conjugate \((s,s + 1,\dots,s + k)\)-core partitions ⋮ Core Partitions With d-Distinct Parts

Cites Work

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• Partitions which are simultaneously \(t_1\)- and \(t_2\)-core
• On the enumeration of \((s, s + 1, s + 2)\)-core partitions
• Densities of the Raney distributions
• Block inclusions and cores of partitions.
• Average size of a self-conjugate $(s,t)$-core partition
• Generalized Catalan Numbers and the Enumeration of Planar Embeddings
• The Catalan Case of Armstrong's Conjecture on Simultaneous Core Partitions
• Functional Composition Patterns and Power Series Reversion

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