Geodesic
Touchard's Drunkard
Journal of integer sequences, Tome 20 (2017) no. 1
Based on Touchard's identity, we give a simple derivation for the enumeration of the N/S/E/W walks that remain on the north side of the origin.
Classification : 05A15
Keywords: path enumerations, drunken walk, random walk, Dyck path, lattice path, touchard's identity, Catalan number, Motzkin number, central binomial factor 
@article{JIS_2017__20_1_a4,
     author = {Dershowitz,  Nachum},
     title = {Touchard's {Drunkard}},
     journal = {Journal of integer sequences},
     year = {2017},
     volume = {20},
     number = {1},
     zbl = {1352.05014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2017__20_1_a4/}
}
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Dershowitz,  Nachum. Touchard's Drunkard. Journal of integer sequences, Tome 20 (2017) no. 1. http://geodesic.mathdoc.fr/item/JIS_2017__20_1_a4/