*Percent Daily Values are based on a 2,000 calorie diet. Your daily values may be higher or lower depending on your calorie needs.
**Nutrient information is not available for all ingredients. Amount is based on available nutrient data.
(-)Information is not currently available for this nutrient. If you are following a medically restrictive diet, please consult your doctor or registered dietitian before preparing this recipe for personal consumption.
Combine carrots, rutabaga, onion, chicken stock, 3 tablespoons butter, brown sugar, and nutmeg in a large saucepan; bring to a boil. Reduce heat, partially cover saucepan with a lid, and simmer, stirring occasionally, until vegetables are very tender, about 45 minutes.
Transfer vegetables using a slotted spoon to a food processor or blender. Continue to cook remaining broth mixture in saucepan over high heat, stirring constantly, until liquid reduced to about 1 tablespoon, 2 to 3 minutes. Add reduced broth mixture to vegetables in food processor; blend until very smooth. Transfer mixture to a bowl and cool to room temperature.
Stir eggs, flour, baking powder, salt, and pepper into pureed vegetable mixture until evenly combined; spoon into a buttered 6-cup casserole or souffle dish.
Melt remaining 1 tablespoon butter in a saucepan over low heat; stir in pecans until fragrant and coated, 1 to 2 minutes. Spread buttered pecans around the edge the vegetable mixture, creating a border. Cover dish with plastic wrap and refrigerate, 8 hours to overnight.
Bring vegetable mixture to room temperature, about 30 minutes before baking.
Preheat oven to 350 degrees F (175 degrees C). Remove plastic wrap from casserole dish.
Bake in the preheated oven until puffed, set in the middle, and golden brown, about 30 minutes.