Welcome to Just Answer!
Honda recommends a 5W-20 motor oil. It does not have to be synthetic, but if you would like to use a synthetic oil for longevity of engine that is strictly up to you. I would recommend a synthetic oil to anyone who is willing to spend that little extra money up front. I would also suggest Amsoil, Red Line, or Royal Purple. These are true synthetic oils. Most shelf bought synthetics are only partially synthetic, even if they say different. A true synthetic oil you can get more mileage & longer period of time between oil changes. Now with the newer systems, like maintenance minder, it would be kind of a headache. The car is designed on the type of driving that is done & mileage estimated for the maintenance minder to work properly.
You can use a 5W-20 motor oil like on page 316-317 of the owner's manual & you will be on track for the maintenance minder system to operate correctly & probably less headaches. Any other questions, please let me know. Thank you.
If this has helped, please press ACCEPT.