Document Zbl 1524.05014

Enumeration of Fuss-skew paths. (English) Zbl 1524.05014

Ann. Math. Inform. 55, 125-136 (2022).

Summary: In this paper, we introduce the concept of a Fuss-skew path and then we study the distribution of the semi-perimeter, area, peaks, and corners statistics. We use generating functions to obtain our main results.

MSC:

05A15	Exact enumeration problems, generating functions
05A19	Combinatorial identities, bijective combinatorics

Keywords:

Skew Dyck path; Fuss-Catalan numbers; generating function

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Online Encyclopedia of Integer Sequences:

a(n) is the number of integer strings s(0),...,s(n) counted by array T in A026374 that have s(n)=2; also a(n) = T(2n,n-1).
a(n) is the number of integer strings s(0),...,s(n) counted by array T in A026386 that have s(n)=2; also a(n) = T(2n,n-1).