Number of Map Classes. Encyclopedia of Integer Sequences Number: A019538, "Triangle of numbers k!*Stirling2(n,k)"
Example G-4. Number of Map Classes
size size 1 2 3 4 5 6 1 1 2 1 2 3 1 6 6 4 1 14 36 24 5 1 30 150 240 120 6 1 62 540 1560 1800 720