length 2: 12, 21
length 3: 231, 312
$\mathcal{A}$ = Av(123, 132, 213, 321, 3412)
$\operatorname{F_{4}}{\left (x \right )} = \operatorname{F_{0}}{\left (x \right )} + \operatorname{F_{3}}{\left (x \right )}$
$\operatorname{F_{0}}{\left (x \right )} = 1$
$\operatorname{F_{3}}{\left (x \right )} = \operatorname{F_{1}}{\left (x \right )} + \operatorname{F_{2}}{\left (x \right )}$
$\operatorname{F_{1}}{\left (x \right )} = x \left(x^{2} + x + 1\right)$
$\operatorname{F_{2}}{\left (x \right )} = x^{2} \left(x + 1\right)$