Buttery Apple cake Tart

Yield: one thin, 11-inch cake; serves 8
Taken from: http://www.travelerslunchbox.com/journal/2009/10/2/home-is-where-the-cake-is.html

3 large tart apples, such as Granny Smith, peeled, cored and thinly sliced
1 teaspoon fresh lemon juice
3/4 cup (150g) plus 3 tablespoons sugar
3/4 cup (1 1/2 sticks/180g) unsalted butter
1/2 vanilla bean, split in half lengthwise (i.e. cut a bean in half crosswise, then split the half lengthwise)
2 large eggs, lightly beaten
1 cup (140g) all-purpose flour, sifted
1/4 teaspoon salt
Vanilla-flavored whipped cream or ice cream, for serving 

Preheat the oven to 350F Generously butter an 11-inch nonreactive tart pan or other similarly-sized glass or ceramic baking dish. Toss the apples in a bowl with the lemon juice and 2 tablespoons of the sugar. Spread the apples evenly in the prepared pan.

Combine the butter and vanilla bean in a small saucepan. Cook the butter over medium until the milk solids are light brown and the whole thing smells deeply nutty, about 7-10 minutes. Watch carefully to avoid burning.

Allow to cool for a few minutes, then remove the vanilla bean and pour the browned butter into a medium-sized bowl, scraping the black vanilla seeds and browned butter solids in too. Stir 3/4 cup sugar into the butter. Gently stir in the eggs; stir in the flour and salt just until blended. Spoon the batter evenly over the apples and spread into an even layer. Sprinkle with the remaining 1 tablespoon sugar.

Bake until lightly golden and crusty, 30 to 40 minutes, or until a toothpick inserted in the center comes out clean. Cool in the pan on a wire rack. Cut into wedges and serve from the pan warm.