\begin{table}
\begin{center}
\begin{tabular}{|c|c|c|}
\hline

\multicolumn{3}{|c|}{\textbf{Enumerating sequence: $\{2^{n-1}\}_{n\geq 1}$}}\\

\hline \hline

\emph{avoided patterns} & \emph{apply Proposition} & \emph{to the symmetry class}\\

\hline $\{1-23,12-3,2-13,21-3\}$ & \ref{2}  & A4 \\
\hline $\{31-2,3-12,13-2,1-32\}$ & \ref{5}  & A7 \\
\hline $\{2-13,21-3,13-2,1-32\}$ & \ref{5}  & A10\\
\hline $\{2-31,23-1,1-32,13-2\}$ & \ref{5}  & A3 \\
\hline
\end{tabular}
\end{center}
\caption{permutations avoiding four patterns}\label{4mot_2^n-1}
\end{table}