Abstract: I will describe an extension of the D-dimensional Vasiliev higher-spin gauge theory on AdS or dS to include partially massless states, as well as its CFT dual, a free scalar U(N) or O(N) model with a fourth-order kinetic term. I'll discuss various checks of AdS/CFT in this case, including the matching of the underlying symmetry algebra (an extension of the usual hs algebra), the matching of masses of particles without any gauge symmetry, the matching of dimension-specific nuances in the theories, and finally the consistency of the one-loop correction to the inverse Newton's constant. I will also speculate on the role of this theory in a putative dS/CFT correspondence.