Preheat oven to 350° F. Melt butter and stir in 1/3 cup cocoa and let cool.
In mixing bowl, mix eggs, 2 C. sugar and 1/2 C. flour. Then add the cocoa mixture to the egg mixture. Add in the remaining flour. Add vanilla, baking soda, pudding and milk and beat well.
Bake in a 9 x 13-inch pan, sprayed with cooking spray for 35 minutes or until nothing sticks to inserted toothpick. When cool, you can lightly dust with 1 tablespoon confectioners' sugar. Serve warm or cold.
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