Blow-up formulas for (-2)-spheres

Let $X$ be a simply connected 4-manifold containing a $(-1)$-sphere $e$. Fintushel and Stern prove that $$D_c(\exp(te)) = D_c(B(t)) on e^\perp if c\cdot e is even,$$ $$D_c(\exp(te)) = D_{c-e}(S(t)) on e^\perp if c \cdot e is odd,$$ for some universal series $B(t),S(t) \in \Q[x][[t]]$ with $x$ the class of a point. We show that their method can easily be extended to $(-2)$-spheres $\tau$ to give blow up formulas like $$D_c(\exp(t\tau)) = D_c(B^2(t) + S^2(t)/2 \tau^2) on \tau^perp if c\cdot \tau is even.$$