Combinatorial proof of a curious -binomial coefficient identity.
Guo, Victor J.W., Zeng, Jiang (2010)
The Electronic Journal of Combinatorics [electronic only]
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Guo, Victor J.W., Zeng, Jiang (2010)
The Electronic Journal of Combinatorics [electronic only]
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Shattuck, Mark (2007)
Integers
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Andrews, George E. (1996)
The Electronic Journal of Combinatorics [electronic only]
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Kauers, Manuel, Schneider, Carsten (2008)
The Electronic Journal of Combinatorics [electronic only]
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Olshanski, Grigori, Regev, Amitai (2001)
Séminaire Lotharingien de Combinatoire [electronic only]
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Blass, Andreas, Braun, Gábor (2005)
The Electronic Journal of Combinatorics [electronic only]
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Benjamin, Arthur T., Eustis, Alex K., Plott, Sean S. (2008)
The Electronic Journal of Combinatorics [electronic only]
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Zudilin, W. (2004)
The Electronic Journal of Combinatorics [electronic only]
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Nebel, Markus K. (2002)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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Gasarch, William, Haeupler, Bernhard (2011)
The Electronic Journal of Combinatorics [electronic only]
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Anna Dorota Krystek, Łukasz Jan Wojakowski (2011)
Banach Center Publications
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In this article we discuss the Catalan and super-Catalan (or Schröder) numbers. We start with some combinatorial interpretations of those numbers. We study two probability measures in the context of free probability, one whose moments are super-Catalan, and another, whose even moments are super-Catalan and odd moments are zero. With the use of the latter we also show some new formulae for evaluation of the Catalans in terms of super-Catalans and vice-versa.
Apagodu, Moa, Zeilberger, Doron (2008)
Integers
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Cameron, Peter J., Johannsen, Daniel, Prellberg, Thomas, Schweitzer, Pascal (2008)
The Electronic Journal of Combinatorics [electronic only]
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Grable, David A. (1997)
The Electronic Journal of Combinatorics [electronic only]
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