  The detailed knowledge of the inner crust properties of neutron stars might
be important to explain different phenomena such as pulsar glitches or the
possibility of an {\it r-process} site in neutron star mergers. It has been
shown in the literature that quantal effects like shell correction or pairing
may play a relevant role to determine the composition of the inner crust of the
neutron star. In this paper we construct the equation of state of the inner
crust using the finite-range Gogny interactions, where the mean field and the
pairing field are calculated with same interaction. We have used the
semiclassical Variational Wigner-Kirkwood method along with shell and pairing
corrections calculated with the Strutinsky integral method and the BCS
approximation, respectively. Our results are compared with those of some
popular models from the literature. We report a unified equation of state of
the inner crust and core computed with the D1M* Gogny force, which was
specifically fabricated for astrophysical calculations.
