Card deals, lattice paths, abelian words and combinatorial identities

Details Card deals, lattice paths, abelian words and combinatorial identities Card deals, lattice paths, abelian words and combinatorial identities

2008-12-28

arxiv.org/abs/0812.4784v1

Mathematics

Combinatorics

10 pages, LaTeX

Scientific paper

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.

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