Set partition asymptotics and a conjecture of Gould and Quaintance

DOI10.1016/J.JMAA.2014.02.061zbMath1305.05016OpenAlexW2025239497WikidataQ122998624 ScholiaQ122998624MaRDI QIDQ488752

Aubrey Blecher, Toufik Mansour, Walaa Asakly, Charlotte Brennan, Arnold Knopfmacher, Stephan G. Wagner

Publication date: 26 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.02.061

zbMATH Keywords

generating functionsasymptoticsset partitionsBell numbers

Mathematics Subject Classification ID

Partitions of sets (05A18) Bell and Stirling numbers (11B73) Elementary theory of partitions (11P81)

Related Items (4)

A decomposition of column-convex polyominoes and two vertex statistics ⋮ Counting water cells in bargraphs of compositions and set partitions ⋮ Counting subword patterns in permutations arising as flattened partitions of sets ⋮ Counting subwords in flattened partitions of sets

Cites Work

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• A linear binomial recurrence and the Bell numbers and polynomials
• Generalized pattern avoidance

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