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