Add the ingredients except the melted butter to your bread machine in the order given by the manufacturer. It will probably go from wet to dry with the yeast last.
1 cup whole milk, 1 large egg, 2 tablespoons oil, 3 cups all-purpose flour, ¼ cup granulated sugar, 1 teaspoon sea salt, 1 tablespoon bread machine yeast
Press the dough cycle.
When the cycle ends, turn the dough onto a heavily floured surface. The dough will be pretty sticky, so give the dough a couple of kneads in the flour.
Divide the dough into 16 pieces and shape into round rolls.
Place the shaped dough in the prepared pan.
Cover the pan with a kitchen towel, and let the rolls rise for about 30 minutes in a warm, draft-free spot. Toward the end of the rising time, preheat your oven to 350F.
Uncover, and bake the rolls for about 12-20 minutes, or until golden brown on top.
Brush the hot rolls with melted butter.
2 tablespoons butter
Notes
Milk: I recommend using whole milk for the softest, richest rolls. However, I've used 2% milk, and it worked just fine.
Oil: I use olive oil in this recipe.
Sea salt: If you don't have sea salt, use half the amount of table salt.
Bread machine yeast: Instant yeast is the best substitute for bread machine yeast.