Catalan Numbers

[Ildurest]

Sorry Brisray, you're not quite right about Catalan numbers being the centre of Pascal's triangle. They're the numbers that run down the centre of a similar triangle with everything to the right of the centre forced to 0. And there heaps of other places they appear.

Here's my Catalan numbers page:
www.autopack.com/aleks/catalan.html

Also search for it on Google. My page isn't all that informative

[brisray]

I think you misunderstood what I said on that page. The catalan numbers don't run down the centre of the triangle but they can easily be derived from it. An even simpler method than what I used (using factors) is to simply take the middle number then subtract the number to the side of it. Sources - mathforum.org/workshops/usi/pascal/pascal.links.html and encyclopedia.lockergnome.com/s/b/Pascal's_triangle

You're right though, in that a triangle similar to Pascal's can be contructed to show the catalan numbers directly.

Ray