The Iarrobino scheme is a novel moduli space introduced by Jelisiejew, by combining the the Hilbert scheme of points with the variety of completed quadrics. Motivated by the rich enumerative geometry of the Hilbert scheme, one can try to also compute invariants of the Iarrobino scheme. In this talk, we will consider the motive in the Grothendieck ring of varieties of the Iarrobino scheme on a curve and get an explicit formula for the generating series. This is joint work with Joachim Jelisiejew and Andrea Ricolfi.