We show that the Hochschild-Pirashvili homology on wedges of circles produces new representations of Out(F_n) that do not factor in general through GL(n,Z). The obtained representations are naturally filtered in such a way that the action on the graded quotients does factor through GL(n,Z). More generally, any map between suspensions f:Y1→Y2 induces a map of Hochschild-Pirashvili homology, which we show is completely determined by the map in homology f∗:H∗(ΣY1)→H∗(ΣY2) in case f is a suspension. In case f is not a suspension f∗ determines the map of graded quotients associated with the so called Hodge filtration.
