Brownie Pudding

I made this for my family a couple Sundays ago. I loved how it was like gooey undercooked brownies. I served it right out of the oven which melted the ice cream nicely, but was still yummy cool the next day.

• 1/2 pound (2 sticks) unsalted butter, plus extra for buttering the dish (or Pam for speed)
• 4 extra-large eggs, at room temperature
• 2 cups sugar
• 3/4 cup good cocoa powder
• 1/2 cup all-purpose flour
• Seeds scraped from 1 vanilla bean - I used a tsp. of vanilla extract (not imitation!)
• Vanilla ice cream, for serving

1. Preheat the oven to 325 degrees F. Lightly butter a 2-quart (9 by 12 by 2-inch) oval baking dish. Melt the 1/2 pound of butter and set aside to cool.
2. In the bowl of an electric mixer fitted with the paddle attachment, beat the eggs and sugar on medium-high speed for 5 to 10 minutes, until very thick and light yellow. Meanwhile, sift the cocoa powder and flour together and set aside.
3. When the egg and sugar mixture is ready, reduce the speed to low and add the vanilla and the cocoa powder and flour mixture. Mix only until combined. With mixer still on low, slowly pour in the cooled butter and mix again just until combined.
4. Pour the brownie mixture into the prepared dish and place it in a larger baking pan. Add enough of the hottest tap water to the pan to come halfway up the side of the dish and bake for exactly 1 hour. A cake tester inserted 2 inches from the side will come out 3/4 clean. The center will appear very under-baked; this dessert is between a brownie and a pudding. Scoop into a bowl or cup and top with ice cream.