The Longacre design with stars combined with the regular reverse. This was apparently implemented by William Barber as Longacre died in 1869.
These were sold as part of complete sets from the half dime to the silver dollar. To view the set, click here.
In addition to the illustrated example in silver for which about a half dozen are known, these were also struck in copper J1069/P1205 with a half dozen known and aluminum J1070/P1206 for which fewer than 3 are confirmed.