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A new enumerative property of the Narayana numbers

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Publication:1080851
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DOI10.1016/0378-3758(86)90011-XzbMath0601.05005MaRDI QIDQ1080851

Paul Moszkowski, Germain Kreweras

Publication date: 1986

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)


zbMATH Keywords

jumpsbalanced parenthesis systemsenumeration by runsk-bridgeslandings


Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15)


Related Items

The statistic ``number of udu's in Dyck paths, The Narayana distribution, Subdivision des nombres de Narayana suivant deux paramètres supplémentaires. (Subdivision of Narayana numbers following two supplementary parameters), A bijective proof of an enumerative property of legal bracketings, A bijection on Dyck paths and its consequences, Catalan path statistics having the Narayana distribution, The \(m\)-Schröder paths and \(m\)-Schröder numbers, Analytic combinatorics of lattice paths with forbidden patterns, the vectorial kernel method, and generating functions for pushdown automata, \(q\)-Narayana numbers and the flag \(h\)-vector of \(J(\text \textbf{2}\times {\mathbf n})\), Six etudes in generating functions, Dyck path enumeration, Constraint-sensitive Catalan path statistics having the Narayana distribution



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