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Stephen Wolfram
SEARCH MATHEMATICA 8 DOCUMENTATION
THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE
DOCUMENTATION CENTER
FOR THE LATEST INFORMATION.
Mathematica
>
Combinatorial Functions
>
Built-in
Mathematica
Symbol
Combinatorial Functions
Tutorials »
|
Binomial
ProductLog
See Also »
|
Combinatorial Functions
Integer Functions
Recurrence and Sum Functions
New in 6.0: Number Theory & Integer Functions
More About »
CatalanNumber
CatalanNumber
[
n
]
gives the
n
Catalan number
.
MORE INFORMATION
CatalanNumber
[
n
]
is defined as
.
Catalan numbers are integers, and appear in various tree enumeration problems.
EXAMPLES
CLOSE ALL
Basic Examples
(1)
The first 10 Catalan numbers:
In[1]:=
Out[1]=
Scope
(2)
Applications
(1)
Properties & Relations
(1)
Neat Examples
(1)
SEE ALSO
Binomial
ProductLog
TUTORIALS
Combinatorial Functions
MORE ABOUT
Combinatorial Functions
Integer Functions
Recurrence and Sum Functions
New in 6.0: Number Theory & Integer Functions
New in 6
© 2013 Wolfram Research, Inc.
Catalan number 
.
.
EXAMPLES
Basic Examples 
Scope 