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Lattice Paths in E3 With Diagonal Steps

Published online by Cambridge University Press:  20 November 2018

D.R. Stocks Jr.
D.R. Stocks Jr.*
Affiliation:
University of Texas at Arlington
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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:

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 10 , Issue 5 , December 1967 , pp. 653 - 658
Copyright
Copyright © Canadian Mathematical Society 1967

References

1. Moser, L and Zayachkowski, W., Lattice Paths with Diagonal Steps. Scripta Mathematica. Vol. XXVI, No. 3, pp. 223-229.Google Scholar
2. Stocks, D. R., Relations Involving Lattice Paths and Certain Sequences of Integers. Fibonacci Quarterly. Vol. 5, No. 1, pp. 81-86.Google Scholar