in of length 5 with steps in is .

North-East lattice paths

A North-East (NE) lattice path is a lattice path in with steps in . The steps are called North steps and denoted by s; the steps are called East steps and denoted by s.

NE lattice paths most commonly begin at the origin. This convention allows encoding all the information about a NE lattice path in a single permutation word. The length of the word gives the number of steps of the lattice path, . The order

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