\begin{table}
\begin{center}
\small{
\begin{tabular}{|c|c|c|c|}
\hline
$
\begin{array}{c}
  \textbf{Enumerating} \\
  \textbf{sequence} \\
\end{array}$
& \emph{avoided patterns} &
\emph{apply Proposition} & \emph{to the symmetry class} \\
\hline \hline
$\{1+{n \choose 2}\}_{n\geq 1}$ & $\{12-3,1-23,31-2,3-12\}$ & \ref{3}  & B2 \\
\hline
$\{{n \choose \lceil n/2 \rceil}\}_{n\geq 1}$ & $\{1-23,21-3,1-32,12-3\}$ & \ref{u2} & B1 \\
\hline
$\{2^{n-2}+1\}_{n\geq 1}$ & $\{1-23,23-1,3-12,12-3\}$ & \ref{u4} & A11 \\
\hline
$\{3\}_{n\geq 3}$ & $\{12-3,2-13,32-1,21-3\}$ & \ref{2} & C8 \\
\hline
\end{tabular}
}
\end{center}
\caption{permutations avoiding four patterns}\label{4mot_varie}
\end{table}