In a large mixing bowl, combine 2 cups of the flour, granulated sugar, yeast, and salt. Whisk until well blended.
In a separate bowl, whisk together the warmed milk, melted butter, egg, and vanilla extract. Pour this mixture into the dry ingredients.
Mix until a soft dough forms. Gradually add the remaining flour and knead on a floured surface for about 5-7 minutes until the dough is smooth and elastic.
Place the dough in a greased bowl, cover with a kitchen towel, and let it rise in a warm place for about 1 hour or until doubled in size.
While the dough is rising, prepare the filling: In a small bowl, combine the brown sugar, cinnamon, and chopped pecans.
Once the dough has risen, punch it down and roll it out on a floured surface to form a 12x16-inch rectangle.
Spread the softened butter evenly over the surface of the dough. Sprinkle the cinnamon-sugar mixture across the entire surface.
Starting from the long edge, tightly roll the dough into a log. Slice into 12 equal pieces.
In a 9x13-inch baking dish, mix the maple syrup and a few tablespoons of melted butter. Spread this mixture evenly over the bottom of the dish, then place the sliced buns cut-side down on top of the syrup.
Cover the dish with a kitchen towel and let it rise again for about 30 minutes.
Preheat your oven to 350°F (175°C).
Bake the buns for 25-30 minutes, or until golden brown.
Once baked, let them cool in the pan for 10 minutes, then invert onto a serving platter to let the sticky syrup drizzle over the buns.
Notes
Serve warm, and garnish with additional chopped pecans and a drizzle of maple syrup on top for a beautiful and delicious touch.