  In the present paper we study a conformally flat generalized Ricci recurrent
perfect fluid spacetime with constant Ricci scalar as a solution of modified
$F(R)$-gravity theory. We show that a Robertson-Walker spacetime is generalized
Ricci Recurrent if and only if it is Ricci symmetric. The perfect fluid type
matter is shown to have EoS $\omega=-1$. Some energy conditions are analyzed
with couple of popular toy models of $F(R)$-gravity, like $F(R)= R+\alpha R^m $
where $\alpha, m$ are constants and $ F(R)=R+\beta RlnR $ where $\beta $ is
constant. In harmony with the recent observational studies of accelerated
expansion of the universe, both cases exhibit that the null, weak, and dominant
energy conditions fulfill their requirements whereas the strong energy
condition is violated.
