Finely chop pine nuts and pecans in processor, using on/off turns. Transfer to shallow bowl. Mix in sesame seeds. Open trout and place skin side down on large baking sheet. Stir butter and garlic in small saucepan over low heat until butter melts. Brush garlic butter over trout. Sprinkle nut mixture over trout; press to adhere. Season with salt and pepper. Chill uncovered for 30 minutes.
Preheat oven to 400° F. Heat 1 tablespoon oil in large nonstick skillet over medium-high heat. Place 2 trout, nut side down, into skillet. Cook 2 minutes. Using spatula, turn trout, nut side up, onto baking sheet. Repeat with remaining oil and trout. Bake trout until opaque in center, about 5 minutes.
