Parth Chavan, Andrew Lee, Karthik Seetharaman
Published 2022-02-02Version 1
The Catalan numbers $C_n$ are an extremely well-studied sequence of numbers that appear as the answer to many combinatorial problems. Two generalizations of these numbers that have been studied are the Fuss-Catalan numbers and the Hypergraph Catalan numbers. In this paper, we study the combination of these, the Hypergraph Fuss-Catalan numbers. We provide some combinatorial interpretations of these numbers, as well as describe their generating function.
Comments: 19 pages, 9 figures
Thron-type continued fractions (T-fractions) for some classes of increasing trees
Generalized Catalan numbers from hypergraphs
Number systems and combinatorial problems
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