Lattice Paths in E3 With Diagonal Steps
Canadian mathematical bulletin, Tome 10 (1967) no. 5, pp. 653-658
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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:
Jr., D.R. Stocks. Lattice Paths in E3 With Diagonal Steps. Canadian mathematical bulletin, Tome 10 (1967) no. 5, pp. 653-658. doi: 10.4153/CMB-1967-064-2
@article{10_4153_CMB_1967_064_2,
author = {Jr., D.R. Stocks},
title = {Lattice {Paths} in {E3} {With} {Diagonal} {Steps}},
journal = {Canadian mathematical bulletin},
pages = {653--658},
year = {1967},
volume = {10},
number = {5},
doi = {10.4153/CMB-1967-064-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-064-2/}
}
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