Recipe from Bon Appétit Magazine
2 ounces bittersweet chocolate (do not exceed 61% cacao), chopped
2/3 cup unsweetened cocoa powder
1 3/4 cups boiling water
2 3/4 cups all purpose flour
1 1/4 teaspoons baking soda
1/4 teaspoon baking powder
1 cup sugar
1 cup (packed) dark brown sugar
1 1/3 cups mayonnaise (do not use reduced-fat or fat-free)
2 large eggs
1 teaspoon vanilla extract
10 ounces bittersweet chocolate (do not exceed 61% cacao), chopped
1 1/2 cups (3 sticks) unsalted butter, room temperature
3 cups powdered sugar
1 tablespoon vanilla extract
Special equipment: Twi 9-inch-diameter cake pans with 1 1/2-inch-high sides
Sift flour, baking soda, and baking powder into another medium bowl.Using electric mixer, beat both sugars and mayonnaise in large bowl until well blended, 2 to 3 minutes. Add eggs 1 at a time, beating until well blended after each addition. Beat in vanilla. Add flour mixture in 4 additions alternately with chocolate mixture in 3 additions, beating until blended after each addition and occasionally scraping down sides of bowl. Divide batter among prepared cake pans (about 2 1/3 cups for each).
Bake cakes until tester inserted into center comes out clean, 30 to 32 minutes. Cool cakes in pans on racks 20 minutes. Run small knife around sides of cakes to loosen. Carefully invert cakes onto racks and let cool completely.
Using electric mixer, beat butter in large bowl until smooth and creamy. Sift powdered sugar over butter and beat until well blended, about 2 minutes. Beat in vanilla. Add melted chocolate and beat until well blended and smooth, occasionally scraping down sides of bowl.
Place 1 cake layer on platter. Spread 3/4 cup frosting over top of cake layer to edges. Top with second cake layer; spread 3/4 cup frosting over. Spread remaining frosting decoratively over top and sides of cake. DO AHEAD: Can be made 1 day ahead. Cover with cake dome and let stand at room temperature.