Shredded Brussels Sprouts with Maple Hickory Nuts

Ingredients:
3/4 cup hickory nut halves or coarsely chopped pecans (3 ounces)
1/2 stick (1/4 cup) unsalted butter
1 tablespoon pure maple syrup
1 teaspoon salt
2 pounds Brussels sprouts, any discolored leaves discarded and stem ends left intact
1/4 teaspoon black pepper
1 tablespoon cider vinegar

Directions:
Put oven rack in middle position and preheat oven to 350°F.
Toast nuts in a small shallow baking pan until fragrant and a few shades darker, about 10 minutes.
While nuts toast, melt 1 tablespoon butter and stir together with syrup and 1/2 teaspoon salt. Add maple glaze to hot nuts and toss to coat.
Holding each Brussels sprout by stem end, cut into very thin slices with slicer.
Toss slices in a bowl to separate layers.
Heat remaining 3 tablespoons butter in a 12- to 13-inch nonstick skillet over moderately high heat until foam subsides, then sauté shredded sprouts with pepper and remaining 1/2 teaspoon salt, stirring, until sprouts are wilted but crisp-tender, 3 to 5 minutes.
Add vinegar and sauté, stirring, 1 minute.
Add hickory nuts and any glaze in baking pan and sauté, stirring, 1 minute.

Nuts can be glazed 1 day ahead and cooled, then kept, covered, at room temperature.