I have difficulties with this one. Find all a(integers) so that \begin{array}{l} a_0 = 4 \\ a_1 = 1 \\ a_n = 12a{}_{n - 1} - 27a_{n - 2} \\ \end{array} Prove that if n \ge 1 \Rightarrow 3^{n - 1} |a_n but not 3^n |a_n