  In this article, we study the axialvector-diquark-scalar-diquark-antiquark
type charmed pentaquark states with $J^P={\frac{3}{2}}^\pm$ with the QCD sum
rules by carrying out the operator product expansion up to the vacuum
condensates of dimension $13$ in a consistent way. In calculations, we separate
the contributions of the negative parity and positive parity pentaquark states
unambiguously, and choose three sets input parameters to study the masses and
pole residues of the charmed pentaquark states $uuuc\bar{u}$ and $sssc\bar{s}$
in details. Then we estimate the masses of the charmed pentaquark states
$ssuc\bar{u}$, $susc\bar{u}$, $ssdc\bar{d}$ and $sdsc\bar{d}$ with
$J^P={\frac{3}{2}}^-$ to be $3.15\pm0.13\,\rm{GeV}$ according to the $SU(3)$
breaking effects, which is compatible with the $\Omega_c(3050)$,
$\Omega_c(3066)$, $\Omega_c(3090)$, $\Omega_c(3119)$.
