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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Displaying similar documents to “Combinatorial and automated proofs of certain identities.”
Combinatorial proof of a curious -binomial coefficient identity.
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Remarks on Catalan and super-Catalan numbers
Anna Dorota Krystek, Łukasz Jan Wojakowski (2011)
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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.
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