There are 5 maps with domain Integer partitions in the database. There are possibly some more waiting for verification.

Mp00042Integer partitions ⟶ Standard tableaux
initial tableau
Mp00043Integer partitions ⟶ Dyck paths
to Dyck path
Mp00044Integer partitions ⟶ Integer partitions
Mp00045Integer partitions ⟶ Standard tableaux
reading tableau
Mp00095Integer partitions ⟶ Binary words
to binary word