\perm{123}{123} & 4 & 1, 4, 35, 524, 11774, 366352, 14953983, \ensuremath{\cdots} & {\rm new} \\
\hline
\perm{123}{132} & 24 & 1, 4, 35, 524, 11768, 365558, 14871439, \ensuremath{\cdots} & {\rm new} \\
\hline
\perm{132}{213} & 8 & 1, 4, 35, 524, 11759, 364372, 14748525, \ensuremath{\cdots} & {\rm new} \\
\hline
