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In a medium-sized mixing bowl, whisk together everything except the egg, stirring until fairly smooth; a few small lumps can remain.
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Tent the bowl lightly with plastic, and allow it to rest at room temperature for 3 hours; it'll start to bubble just a bit.
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Refrigerate the batter overnight.
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Just before cooking the pancakes, stir in the beaten egg.
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Heat a 9" or 10" skillet over medium heat; or heat a 9" or 10" electric skillet to 300°F; or heat a griddle that's at least 9" to 10" wide, and easy to pick up and handle.
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Place 1 teaspoon vegetable oil and 1 teaspoon butter into the skillet, swirling them around until the butter melts. Yes, use 1 teaspoon each; this is what will give the pancakes their signature crisp edges.
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Pour a scant 1/2 cup batter into the pan, tilting the pan until the batter forms a circle about 9" in diameter. It's important that you do this quickly, before the pancake has a chance to set; the thin edges that result from tilting the pan to distribute the batter become wonderfully crispy.
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Cook the pancake for about 2 to 2 1/2 minutes, or until its underside is golden brown. Flip it over, and cook about 1 1/2 to 2 minutes more, until golden.
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Transfer to a plate (or lightly greased baking sheet, if you want to keep the pancake warm in the oven while you cook the remainder). Repeat with the remaining batter.
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Serve the pancakes with butter and syrup. Or spread sour cream (or whipped cream, or yogurt), layer strawberries down the center, and roll like a blintz.