Dershowitz, Nachum

Touchard's Drunkard

J. Integer Seq. 20(1), Article 17.1.5, 13 p. (2017)

Summary

Summary: 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.

Mathematics Subject Classification

05A15

Keywords/Phrases

path enumerations, drunken walk, random walk, Dyck path, lattice path, touchard's identity, Catalan number, Motzkin number, central binomial factor

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