Let \(T_1 = 4\), \(T_2 = 4\), \(T_3 = 7\), and \(T_n = T_{n-1} + T_{n-2} + T_{n-3}\) for \(n \geq 4\).

Find \(T_4,\) \(T_5,\) \(T_6,\) \(T_7,\) and \(T_8\).
 
\(T_4\) =
 
\(T_5\) =
 
\(T_6\) =
 
\(T_7\) =
 
\(T_8\) =