Card deals, lattice paths, abelian words and combinatorial identities

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We give combinatorial interpretations of several related identities associated with the names Barrucand, Strehl and Franel, including one for the Apery numbers. The combinatorial constructs employed are derangement-type card deals as introduced in a previous paper on Barrucand's identity, labeled lattice paths and, following a comment of Jeffrey Shallit, abelian words over a 3-letter alphabet.
10 pages, LaTeX

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Combinatorics, 05A15

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http://salesiana.dossiersoluciones.com/handle/123456789/213819

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0812.4784
 http://arxiv.org/abs/0812.4784

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arXiv