Proof of a conjecture on Hankel determinants for Dyck paths with restricted peak heights
For any integer m≥2 and r∈{1,…,m}, let fnm,r denote the number of n-Dyck paths whose peak's heights are im+r for some integer i. We find the generating function of fnm,r satisfies a simple algebraic functional equation of degree 2. The r=m case is particularly nice and we give a combinatorial p...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier B.V.
2022
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| Subjects: | |
| Online Access: | View Fulltext in Publisher |