  We find black hole solutions of D=3 higher-spin gravity in the hs[\lambda] +
hs[\lambda] Chern-Simons formulation. These solutions have a spin-3 chemical
potential, and carry nonzero values for an infinite number of charges of the
asymptotic W_{\infty}[\lambda] symmetry. Applying a previously developed set of
rules for ensuring smooth solutions, we compute the black hole partition
function perturbatively in the chemical potential. At \lambda =0, 1 we compare
our result against boundary CFT computations involving free bosons and
fermions, and find perfect agreement. For generic \lambda\ we expect that our
gravity result will match the partition function of the coset CFTs conjectured
by Gaberdiel and Gopakumar to be dual to these bulk theories.
