Recursive Formulas - Definition & Examples

A sequence $s$ is described by the formula $s_n = f(n) g(n)$, where $f(n)$ and $g(n)$ are recursively defined as follows:

$$f(n) = (n-1) f(n-1), f(1) = 2$$ $$g(n) = n g(n-1), g(1) = 1.$$

What are $s_{1},s_{2}, s_{3}$?