\begin{table}
\begin{center}
\begin{tabular}{|c|c|c|}
\hline
\multicolumn{3}{|c|}{\textbf{Enumerating sequence: $\{n\}_{n\geq 1}$}}\\
\hline\hline

\emph{thanks to Proposition} &\emph{add the pattern} &\emph{to the representative} \\
\hline

\ref{3}&$3-12$&d2\\
\ref{4}&$23-1$&d9\\
\ref{3}&$3-12$&d6\\
\ref{3}&$3-12$&d25\\
\ref{2}&$21-3$&d14\\
\ref{2}&$21-3$&d17\\
\ref{5}&$1-32$&d16\\
\ref{2}&$21-3$&d20\\
\ref{4}&$23-1$&d18\\
\ref{5}&$1-32$&d21\\
\ref{u1}&$12-3$&d9\\
\ref{u1}&$12-3$&d11\\
\ref{u1}&$12-3$&d1\\
\ref{u1}&$12-3$&d2\\
\ref{u1}&$12-3$&d10\\
\ref{u1}&$12-3$&d3\\
\ref{u2}&$12-3$&d12\\
\ref{u2}&$12-3$&d4\\
\ref{u3}&$12-3$&d28\\
\ref{u3}&$12-3$&d25\\
\hline
\end{tabular}
\end{center}
\caption{permutations avoiding five patterns}\label{5mot_n}
\end{table}

%\input{5mot_seq_F_n}