Card deals, lattice paths, abelian words and combinatorial identities
Combinatorics
2008-12-31 v1
Abstract
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.
Cite
@article{arxiv.0812.4784,
title = {Card deals, lattice paths, abelian words and combinatorial identities},
author = {David Callan},
journal= {arXiv preprint arXiv:0812.4784},
year = {2008}
}
Comments
10 pages, LaTeX