The (1,$k$)-ADHM Seiberg-Witten equations are a class of generalized Seiberg-Witten equations associated with the hyperKaehler quotient appearing in the Atiyah, Drinfeld,Hitchin, and Manin's construction of the framed moduli space of ASD instantons on $R^4$. Formally, degenerating solutions of this equation are related to Fueter sections of

bundles of symmetric products of $k$ copies of $R^4$. In this talk I will explain this relation in more detail and discuss why we believe these equations to be relevant to issues of multiply covered associatives. This is joint work in progress with Aleksander Doan.