  The Lovelock gravity is a fascinating extension of general relativity, whose
action consists of the dimensionally extended Euler densities. Compared to
other higher order derivative gravity theories, the Lovelock gravity is
attractive since it has a lot of remarkable features such as that there are no
more than second order derivatives with respect to metric in its equations of
motion, and that the theory is free of ghost. Recently in the study of black
string and black brane in the Lovelock gravity, a special class of Lovelock
gravity is considered, which is named pure Lovelock gravity, where only one
Euler density term exists. In this paper we study black hole solutions in the
special class of Lovelock gravity and associated thermodynamic properties. Some
interesting features are found, which are quite different from the
corresponding ones in general relativity.
