Yes, even when it comes to sandwiches, "Portlandia" stars 'put a bird on it.'
Preheat the broiler, setting the rack 6 inches from the heat. Arrange the bread on a work surface and spread 1 side only with the mayonnaise, evenly and to the edges. Sprinkle the Parmesan over the mayonnaise and press lightly to make it adhere. Flip the bread and add the coarsely shredded cheese and the scallions to 2 of the slices. Close the sandwiches, with the Parmesan-encrusted sides out.
Heat an ovenproof griddle or skillet over medium heat and lightly grease with butter. Add the sandwiches and cook over moderate heat until lightly browned on the bottom, 1 to 1 1/2 minutes.
From The Portlandia Cookbook: Cook Like A Local