Preheat oven and pan to 450 degrees.
Wash each Brussels sprout, removing the outer loose leaves. Cut each in half as pictured, cutting off the tough end.
Take pan out of oven and layer Brussels sprouts flat side up where they are not touching each other.
Drizzle with 1-2 tablespoon of the olive oil until all the flat surfaces of the sprouts is lightly covered.
Place in preheated oven and cook for 20-25 minutes, checking about halfway through.
Meanwhile, in small saucepan, heat the garlic, soy sauce, rest of the olive oil, sesame oil, lemon juice, and maple syrup to a simmer, stirring frequently until thickened a bit.
When Brussels sprouts are nicely browned, remove from the oven and transfer to a serving dish. Pour over the sauce mixture and gently toss.
Add a bit of salt and black pepper as desired after tasting.
Serve immediately with your favorite main course such as pot roast, steaks, fish, or chicken. Or serve them as an appetizer (that's what we did - with our fingers, at that).