Table 1.

The number α(k) [respectively, β(k)] of inequivalent loopless multigraphs with k labeled (respectively, unlabeled) edges and non-isolated vertices

k	α(k)	β(k)
1	1	1
2	3	3
3	16	8
4	139	23
5	1 750	66
6	29 388	212
7	624 889	686
8	16 255 738	2 389
9	504 717 929	8 682
10	18 353 177 160	33 160
11	769 917 601 384	132 277
12	36 803 030 137 203	550 835
13	1 984 024 379 014 193	2 384 411