Geodesic
On Lattice Paths with Several Diagonal Steps
Canadian mathematical bulletin, Tome 11 (1968) no. 4, pp. 537-545

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

In this note we consider the enumeration of unrestricted and restricted minimal lattice paths from (0, 0) to (m, n), with the following (μ + 2) moves, μ being a positive integer. Let the line segment between two lattice points on which no other lattice point lies be called a step. A lattice path at any stage can have either (1) a vertical step denoted by S0, or (2) a diagonal step parallel to the line x = ty (t = 1,..., μ), denoted by St, or (3) a horizontal step, denoted by Sμ+1. 
Mohanty, S.G.; Handa, B.R. On Lattice Paths with Several Diagonal Steps. Canadian mathematical bulletin, Tome 11 (1968) no. 4, pp. 537-545. doi: 10.4153/CMB-1968-064-8
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