Relationship between quandle shadow cocycle invariants and Vassiliev invariants

As one of the problems in his list [20], T. Ohtsuki proposed to study relations between quandle cocycle invariants and quantum invariants. The aim of this paper is to answer one of those questions. We prove that the coefficient of the finite perturbative expansion of the quandle shadow cocycle invariant defined by $(\Z /p\Z)$-Laurent polynomial quandle is Vassiliev invariant for any braids.