\begin{table}
\begin{center}
\begin{tabular}{|c|c|c|}
symmetry class & avoided patterns & enumerating sequence\\
\hline \hline

F1&$\{1-23,2-13,1-32\}$&\\
F2&$\{1-23,2-13,13-2\}$&\\
F3&$\{1-23,21-3,13-2\}$&\\
F4&$\{1-23,13-2,3-12\}$& $\{F_n\}_{n\geq1}$\\
F5&$\{1-23,1-32,3-12\}$&\\
F6&$\{1-23,1-32,31-2\}$&\\
F7&$\{1-23,13-2,31-2\}$&\\
\hline
M1&$\{1-23,12-3,21-3\}$&\\
M2&$\{12-3,21-3,2-13\}$& $\{M_n\}_{n\geq1}$\\
\hline
B1&$\{1-23,21-3,1-32\}$& $\{{n \choose \lceil n/2 \rceil}\}_{n\geq1}$\\
\hline
B2&$\{12-3,1-23,31-2\}$&\\
B3&$\{1-23,2-31,23-1\}$& $\{1+{n \choose 2}\}$\\
\hline
C8&$\{12-3,2-13,32-1\}$& $\{3\}_{n\geq 3}$\\
\hline
C1&$\{1-23,2-13,3-21\}$&\\
C2&$\{1-23,23-1,32-1\}$&\\
C3&$\{1-23,2-13,32-1\}$&\\
C4&$\{1-23,12-3,3-21\}$& $\{0\}_{n\geq k}$\\
C5&$\{1-23,21-3,3-21\}$&\\
C6&$\{1-23,21-3,32-1\}$&\\
C7&$\{1-23,2-31,32-1\}$&\\
\hline
\end{tabular}
\end{center}
\caption{permutations avoiding three patterns}\label{3mot2}
\end{table}
