Séminaire Lotharingien de Combinatoire, B25b (1990), 4
pp.
[Formerly: Publ. I.R.M.A. Strasbourg, 1991, 462/S-25, p.
113-116.]
Christian Krattenthaler, S.G. Mohanty
On Lattice Path Counting by Major and Descents
Abstract.
n-dimensional lattice paths which do not touch the hyperplanes
x(i)-x(i+1)=-1, i=1,2,...,(n-1)
and x(n)-x(1)=-1-K are
enumerated by MacMahon's major index and variations of the major
index. A formula involving determinants is obtained. For n=2 we
also present a formula for counting these lattice paths
simultaneously by major and descents.
This paper is a summary of the articles that appeared in:
Europ. J. Combin. 14 (1993), 43-51,
Discrete Math. 126 (1994), 195-208.
The following versions are available: