Skew Dyck Paths With Catastrophes
Copyright policy )Skew Dyck Paths With Catastrophes
Skew Dyck paths are like Dyck paths, but an additional south-west step $(-1,-1)$ is allowed, provided that the path does not intersect itself. Lattice paths with catastrophes can drop from any level to the origin in just one step. We combine these two ideas. The analysis is strictly based on generating functions, and the kernel method is used.
Links to two sequences in the OEIS are provided (thanks to Michel Marcus)
skew Dyck path, Exact enumeration problems, generating functions, skew dyck path, kernel method, catastrophe, QA1-939, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Mathematics
skew Dyck path, Exact enumeration problems, generating functions, skew dyck path, kernel method, catastrophe, QA1-939, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Mathematics
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