what type of oil mostly depends on how many miles your car has on the ODO meter. In any case it is best to use the Honda oil whether mineral or synthetic. Honda uses 10W30 for Mineral oils and 5W30 in case of Synthetic. You may use any good oil but try to use the same weight as Honda. Newer cars (less than 100000 km) run better on synthtic oils since these are less viscous and are good for new engines with tightly bound internal components.
hope to have satisfied your query