That was cool! I changed the name of the column back to RoomArea and the script automatically updated. And now I can see the syntax for the special characters.
Names Default To Here( 1 );
dt = Current Data Table();
For( I = 2, I <= N Rows( dt ), I++,
If( :Name( "Room/Area" )[I] == "",
:Name( "Room/Area" )[I] = :Name( "Room/Area" )[I - 1]
)
);