Preheat oven to 415 F.
In a large, heavy based saucepan, heat the butter and water over medium heat until butter is melted and mixture is boiling.
Remove from the heat and beat in the flour with a wooden spoon.
Return the pot to the heat and beat until the mixture comes together into a ball and leaves the side of the pan. Remove again from the heat and let cool slightly.
Beat the mixture to release any more heat - you don't want to cook the eggs!
Add the eggs, one at a time, beating well after each addition. The mixture will be slippery at first, so just continue beating until the egg is well incorporated before adding the next.
Beat the mixture until it is thick and glossy - a wooden spoon should be able to stand up in the batter.
Spoon the mixture onto baking sheets lined with parchment paper. Make about 8 Tablespoon-sized puffs (these will be for the base of the croquembouche). Use up the rest of the batter for smaller puffs, each the size of 1 or 2 teaspoons of dough.
Bake for 20-30 minutes, depending on the size of the puffs, until golden brown and hollow sounding when the base is tapped. Let cool on a wire rack.