Chocoholic's Wickedly Awesome Chocolate Cake With Chocolate Crea

From the back of a novel I found at the library. I am keeping this here so I can give this a go. I like that it's from scratch.

• Ready In: 1 hr
• Serves: 12

Ingredients

• 8  ounces  dark chocolate chips
• 1⁄2 cup  plus 3 tablespoons butter
• 1 1⁄4 cups cake flour
• 1⁄2 cup  cocoa
• 1 (8 ounce)  box instant pudding mix
• 1⁄2 teaspoon salt
• 1⁄2 teaspoon baking soda
• 1⁄2 teaspoon baking powder
• 4  large eggs
• 1⁄4 cup  vegetable oil
• 1⁄2 cup sugar
• 1⁄3 cup brown sugar
• 1 1⁄2 teaspoons vanilla
• 2⁄3 cup milk
•  frosting
• 1⁄2 cup icing sugar
• 3⁄4 cup  cocoa
• 2  tablespoons butter
• 8  ounces cream cheese (softened)
• 1  teaspoon vanilla
• 1⁄4 cup milk

Directions

1. Melt the chocolate chips with the butter.
2. In a medium bowl mix the dry ingredients.
3. In a large beat the eggs, oil and vanilla together, it should go thick (allow 3-5 minutes).
4. Add the vanilla and milk (mix until incorporated).
5. Gradually add in the dry ingredients and beat together.
6. Pour the prepared batter into a greased and lined 8 inch square cake tin.
7. Bake at 350oF for 35-45 minutes (or until cooked when tested with a toothpick).
8. FROSTING:
9. Mix the sugar and cocoa together and set aside. Beat the butter and cream cheese together. Add the vanilla, gradually add the sugar/cocoa mix with small amounts of milk until both are incorporated. Frost in your cooled cake and enjoy.