Séminaire Lotharingien de Combinatoire, B54f (2006), 17 pp.
Yvan Le Borgne
Counting Upper Interactions in Dyck Paths
Upper and lower interactions are parameters of Dyck paths which are
motivated by corresponding parameters in a model of partially directed
polymers. We investigate the problem of obtaining the generating
function for Dyck paths with respect to upper interactions in terms of
basic hypergeometric q-series in which an algebraic term occurs.
Received: August 8, 2005.
Revised: October 10, 2005.
Accepted: December 20, 2005.
Final Version: February 8, 2006.
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