Preheat oven to 350 degrees F.
Place eggs in a medium mixing bowl and whisk lightly. Add sugar, corn syrup, vanilla and melted butter. Stir with a wooden spoon to combine well. Stir in pecans.
Pour filling into prepared unbaked pie crust. Bake 45-55 minutes, or until toothpick inserted in center comes out clean. Cool on wire rack.
Note: If using a frozen pie crust, be forewarned that they brown easily. You may want to shield the crust with strips of aluminum foil cut about 3 inches wide and about 12-15 inches long. Wrap these around the edge of the pie pan so they cover the edge of the crust.