Give an example of a function f $($n$)$ such that:

$$ f $($n$)$ in O$($n$^2\mathrm{.}5)$ and f $($n$)$ in $($n$^2$ log$\_2($n$))$ but f $($n$)$ in $\backslash$Theta $($n$^2\mathrm{.}5)$ and f $($n$)$ in $\backslash$Theta $($n$^2$ log$\_2($n$)).$