Preheat oven to 250 degrees. In a large bowl whisk together the flour, cornmeal, sugar, baking powder and salt. In a medium bowl whisk together the eggs, buttermilk and melted butter. Slowly pour the liquids into the dry ingredients mixing to combine -- don't over mix, some small lumps are ok.
Heat griddle or nonstick skillet over medium heat. Add a small pat of butter to the griddle and swish it over the surface. Ladle pancakes onto hot griddle in about 1/3 cup increments to make 4" pancakes.
Cook pancakes 2-3 minutes or until lightly browned on the bottom. Carefully flip with a spatula and cook for an additional 2-3 minutes. Transfer pancakes to a baking sheet and keep them warm in the oven while you finish off the rest of the pancakes.