I remember stumbling across a paper in which the author(s) compute the cohomology groups $$H^{n+k}(K(a,n);\mathbb{Z})$$ of the Eilenberg-MacLane space $K(a,n)$ on the finite abelian group $A$, for low but interesting $k,n$. In particular, they give a functorial description in of these groups in $A$.
Does anyone know which paper I am refering to???