There would be no reason to have a non standard outlet for a 20 amp circuit. It would only make sense to have a different one for 220v. Various style plugs are available at places like Home Depot or Lowe's. The "experts" in the Electrical section of either of those places wuld be glad to discuss it with you at length.
some electronics come with a different plug style like this so no one can try to use it on a 15amp circuit and overheat the wires or the outlet , which could cause a fire.