Lattice Paths in E3With Diagonal Steps
Douglas R. Stocks · Canadian Mathematical Bulletin · 1967
Moser and Zayachkowski [1] have discussed certain planar lattice paths from (0, 0) to (m, n). In this note we consider analogous paths in three dimensional space. For basic definitions see reference [2]. Throughout this note each of m, n and k is a positive integer and if S is a finite set, |S| will denote the number of elements of S. Each path under consideration here is such that each of its steps is of one of the following types: