Factorial in Unix shell

Example for versions Bash 3.0, Bash 4.0.35

This example uses recursive factorial definition. 

factorial ()
{
    local num=$1;
    if [ $num = 0 ]; then
        echo 1
        return ;
    fi;
    echo $(( $num * $(factorial $(( $num - 1 )) ) ))
}

for ((n = 0; n <= 16; n++))
do
    echo "$n! = " $(factorial $(($n)))
done