Lightly beat the eggs and stir in the walnuts, salt, and pepper to taste.
In a large skillet, melt the butter. When it is hot, pour in the egg mixture. With a fork, push the outer, cooked edges of the egg toward the center, tipping the pan to allow the uncooked portion to flow into the cleared space. Continue this procedure until the omelet is cooked, about 3 or 4 minutes. Fold over the