𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Sequences of Ordered Sets and Catalan Numbers

✍ Scribed by Mohammad Alzohairi


Book ID
110233210
Publisher
Springer Netherlands
Year
1998
Tongue
English
Weight
64 KB
Volume
15
Category
Article
ISSN
0167-8094

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πŸ“œ SIMILAR VOLUMES


Congruences for Catalan and Motzkin numb
✍ Emeric Deutsch; Bruce E. Sagan πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 238 KB

We prove various congruences for Catalan and Motzkin numbers as well as related sequences. The common thread is that all these sequences can be expressed in terms of binomial coefficients. Our techniques are combinatorial and algebraic: group actions, induction, and Lucas' congruence for binomial co

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✍ F. Hurtado; M. Noy πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 232 KB

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