A class of numbers, called Catalan-like numbers, are introduced which unify many well-known counting coefficients, such as the Catalan numbers, the Motzkin numbers, the middle binomial coefficients, the hexagonal numbers, and many more. Generating functions, recursions and determinants of Hankel mat
Generating trees and the Catalan and Schröder numbers
✍ Scribed by Julian West
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 1015 KB
- Volume
- 146
- Category
- Article
- ISSN
- 0012-365X
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It is known that a convex polygon of n sides admits C.-2 triangulations, where C, is a Catalan number. We classify these triangulations (considered as outerplanar graphs) according to their dual trees, and prove the following formula for the number of triangulations of a convex n-gon whose dual tree
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