# Definition:Superfactorial

## Definition

Let $n \in \Z_{\ge 0}$ be a positive integer.

The superfactorial of $n$ is defined as:

## Examples

### Superfactorial of $1$

The superfactorial of $1$ is given by:

### Superfactorial of $3$

The superfactorial of $3$ is given by:

$3 \$ = 3!^{3!^{3!} } = 6^{6^6} = 6^{46 \, 656}\$

## Also see

• Results about Superfactorials can be found here.