  Under suitable technical assumptions, a description is given for the
generators of $s$-residual intersections of an ideal $I$ in terms of lower
residual intersections, if $s \geq \mu(I)-2$. This implies that $s$-residual
intersections can be expressed in terms of links, if the deviation of $I$ is
less than or equal to 3 and some other hypotheses are satisfied.
