  Let $\{a_k\}$ be a sequence of real numbers defined by an $m$th order linear
homogenous recurrence relation. In this paper we obtain a determinant formula
for the circulant matrix $A=circ(a_1, a_2, \cdots, a_n)$, providing a
generalization of determinantal results in papers of Bozkurt \cite{Bozkurt},
Bozkurt and Tam \cite{BozkurtTam}, and Shen, et al. \cite{ShenCenHao}.
