Honey Crisp Apple Cake

Name: Honey Crisp Apple Cake
Ingredients: For the apples:; 3 tablespoons unsalted butter; 1/3 cup dark brown sugar; 1 tablespoon ground cinnamon; 3 Honey Crisp apples, peeled, cored, and halved; For the cake batter:; Nonstick cooking spray; 1 1/2 tablespoons turbinado sugar; 3/4 cup all-purpose flour; 3/4 cup grated Honey Crisp apple; 1/3 cup vegetable oil; 1/4 cup canned crushed pineapple; 2 large eggs; 2 tablespoons sugar; 3/4 teaspoon baking soda; 1/2 teaspoon baking powder; 1/2 teaspoon ground cinnamon; 1/2 teaspoon salt; 1/4 teaspoon ground allspice; 1/4 teaspoon ground cloves; 1/4 teaspoon ground nutmeg