Catalan number - Hankel matrix - Article Index

Encyclopedia - Catalan Number: Encyclopedia - Catalan Number
In combinatorial mathematics, the Catalan numbers form a sequence of natural numbers that occur in various counting problems; which often...   » Read the article

Encyclopedia - Catalan Number: Encyclopedia Ii - Catalan Number - Proof Of The Formula
There are several ways of explaining why the formula given for Cn is correct; that is, why it solves the combinatorial problems listed ab...   » Read the article

Encyclopedia - Catalan Number: Encyclopedia Ii - Catalan Number - Properties Of The Catalan Numbers
One can verify that an alternative expression for Cn is This shows that Cn is a natural number, which is not a priori obvious from the...   » Read the article