\(h:\N \to \N\) defined by \(h(n) = n!\text{.}\) Recall that \(n! = 1 \cdot 2 \cdot 3 \cdot \cdots \cdot (n-1)\cdot n\) is the product of all numbers from \(1\) through \(n\text{.}\) We also define \(0! = 1\text{.}\)