Vassiliev invariants for pretzel knots

We compute Vassiliev invariants up to order six for arbitrary pretzel knots, which depend on $g+1$ parameters $n_1,\dots ,n_{g+1}$. These invariants are symmetric polynomials in $n_1,\dots ,n_{g+1}$ whose degree coincide with their order. We also discuss their topological and integer-valued properties.