It's funny you said that because I was under the impression most Hondas don't recommend premium. Mine requires it because of 11:1 compression but I think they make an effort for their V6s to run on regular to reduce operating costs.
The most efficient oils will be 0-weights that are true synthetics. However, the difference between gas mileage between these and "regular" oils are negligible, and may not offset the extra cost. When it comes to engine wear, however, that is a totally different matter.
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------- 100hp/L specific output, naturally aspirated. -------
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