Center an oven rack and preheat the oven to 375 (F).
Melt 1 cup unsalted butter in a large saucepan over medium heat. Whisk in 1/2 cup cocoa powder. Add 3 tablespoons vegetable oil and 1 cup coffee and bring to a rolling boil for about 30 seconds. Remove the saucepan from heat and set it aside on a cooling rack to cool slightly.
While the saucepan is cooling, whisk together 2 cups flour, 2 cups sugar, 1 teaspoon baking soda, and 1/2 teaspoon kosher salt in a large bowl.
Pour the warm cocoa mixture (from the second step) into the flour/sugar/baking soda/salt mixture and whisk until just combined.
In a small bowl, whisk together 2 eggs, 1/2 cup buttermilk, and 2 teaspoons vanilla.
Using a rubber spatula, stir the buttermilk mixture into the batter until just combined. Pour the batter into a greased 15 by 10 inch baking pan and place in the center of the oven. Bake for 22 to 25 minutes, or until the top is firmed and a wooden skewer inserted in the middle of the cake comes out with a few moist crumbs.