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

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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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     author = {Mohanty, S.G. and Handa, B.R.},
     title = {On {Lattice} {Paths} with {Several} {Diagonal} {Steps}},
     journal = {Canadian mathematical bulletin},
     pages = {537--545},
     year = {1968},
     volume = {11},
     number = {4},
     doi = {10.4153/CMB-1968-064-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1968-064-8/}
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