##### The corresponding article has been published in
Sitz.ber. d. ÖAW Math.-naturwiss. Klasse **198** (1989), 171-199.

## Christian Krattenthaler

# Counting lattice paths with a linear boundary II

**Abstract.**
We consider two important special cases of the results about the enumeration
of lattice paths that do not touch a given line, which are contained in our
article ``Counting lattice paths with a linear boundary I"
(Sitz.ber. d. ÖAW Math.-naturwiss. Klasse **198** (1989), 87-107). In
the first case we obtain several types of *q*-ballot numbers, for which
we are able to provide nice closed forms. In the second case we obtain the
*q*-Catalan numbers of J. Fürlinger and J. Hofbauer
(J. Combin. Theory Ser. A **40** (1985), 248-264). We add a few new results
and solve some of their problems.
The following versions are available:

Back to Christian Krattenthaler's
home page.