Melt the butter in a saucepan over medium heat until brown. Then add the chocolate.
While the butter cools, whisk together the eggs and sugar until light and fluffy, about 2-3 minutes.
Pour the brown butter and melted chocolate into the eggs, then fold in the dry ingredients.
Pour the batter into a lined 8x8 baking pan and bake at 350 for 45 minutes.