Results 151 to 160 of about 1,269,170 (176)

Coincidences of Catalan and q-Catalan Numbers

Integers, 2011
AbstractLet
Florian Luca, Paul Thomas Young
openaire   +3 more sources

Catalan Numbers, Their Generalization, and Their Uses

The Mathematical Intelligencer, 1991
The authors are concerned with four enumeration problems all involving the numbers \(f(p,n)=(pn)!/n!(pn-n+1)!\) for positive integers \(p-1\) and \(n\). (1) Let \(a(p,n)\) be the number of planted plane trees having exactly \(n\) vertices with out-degree \(n\).
Hilton, Peter, Pedersen, Jean
openaire   +1 more source

Catalan Numbers

2015
Catalan numbers are probably the most ubiquitous sequence of numbers in mathematics. This book gives for the first time a comprehensive collection of their properties and applications to combinatorics, algebra, analysis, number theory, probability theory, geometry, topology, and other areas.
openaire   +1 more source

The Catalan Numbers

2015
The most important special case of Dyck words comes when \( a=b \) so that the words have the same number of dominant and nondominant letters. A slight variation on these Dyck words is ballot , which we also define here for completeness.
openaire   +1 more source

Catalan Numbers

The Mathematical Intelligencer, 2016
  +5 more sources

Several formulas and identities related to Catalan-Qi and q-Catalan-Qi numbers

Indian Journal of Pure and Applied Mathematics, 2019
Wathek Chammam
exaly  

Compactified Jacobians and q,t-Catalan numbers, I

Journal of Combinatorial Theory - Series A, 2013
Eugene Gorsky, Mikhail Mazin
exaly  

Total positivity of Catalan triangle

Discrete Mathematics, 2015
Yi Wang
exaly  

Some identities on Catalan numbers and hypergeometric functions via Catalan matrix power

Applied Mathematics and Computation, 2011
Stefan Stanimirović
exaly  

Catalan matrix and related combinatorial identities

Applied Mathematics and Computation, 2009
Marko Miladinovic, Predrag S Stanimirović, Stefan Stanimirović   +2 more
exaly