Preheat an oven to 425F degrees. Position a rack in the middle of the oven. Butter an 8-9: square baking pan that is 1 1/2 inches deep. In a bowl stir together the cornmeal, flour, sugar, salt, baking powder and cayenne pepper. Stir in the eggs and milk, then the corn kernels and butter. Pour the batter into the prepared pan. Bake until golden, 25-30 minutes. Remove from the oven and let cool slightly on a rack for 2-3 minutes. Cut into squares and serve warm. Serves 8-10.