Geodesic
Lattice Paths in E3 With Diagonal Steps
Canadian mathematical bulletin, Tome 10 (1967) no. 5, pp. 653-658

Voir la notice de l'article provenant de la source Cambridge University Press

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
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[1] 1. Moser, L and Zayachkowski, W., Lattice Paths with Diagonal Steps. Scripta Mathematica. Vol. XXVI, No. 3, pp. 223-229. Google Scholar

[2] 2. Stocks, D. R., Relations Involving Lattice Paths and Certain Sequences of Integers. Fibonacci Quarterly. Vol. 5, No. 1, pp. 81-86. Google Scholar

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