Arithmetic & Number Theory
Catalan Number
The nth Catalan number.
Formula
Formula
Cn = C(2n, n)n+1
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| n | index | integer (ℤ) | — | input |
| Cₙ | n-th Catalan number | computed result | — | result |
Try it yourself
Interactive calculator
Worked examples
Example 1
Givenn = 6
Result132
Example 2
Givenn = 10
Result16796