Francesca Aicardi
Published 2020-11-30Version 1
A Catalan triangle and a Fuss-Catalan triangle are defined recursively. Their rows sum to the Catalan numbers and to Fuss-Catalan numbers $A_n(4,1)$. The properties of these triangles are proved by using arc diagrams and tied arc diagrams.
Comments: 16 pages, 11 Figures
Fuss-Catalan numbers and planar partitions
Fuss-Catalan Triangles
A determinant representation for generalized ballot and Fuss-Catalan numbers
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