| #edges | Connected graphs | All graphs |
|---|---|---|
| 0 | 0 | 1 |
| 1 | 0 | 1 |
| 2 | 0 | 2 |
| 3 | 0 | 5 |
| 4 | 0 | 11 |
| 5 | 0 | 24 |
| 6 | 0 | 56 |
| 7 | 23 | 115 |
| 8 | 89 | 221 |
| 9 | 236 | 402 |
| 10 | 486 | 663 |
| 11 | 814 | 980 |
| 12 | 1169 | 1312 |
| 13 | 1454 | 1557 |
| 14 | 1579 | 1646 |
| 15 | 1515 | 1557 |
| 16 | 1290 | 1312 |
| 17 | 970 | 980 |
| 18 | 658 | 663 |
| 19 | 400 | 402 |
| 20 | 220 | 221 |
| 21 | 114 | 115 |
| 22 | 56 | 56 |
| 23 | 24 | 24 |
| 24 | 11 | 11 |
| 25 | 5 | 5 |
| 26 | 2 | 2 |
| 27 | 1 | 1 |
| 28 | 1 | 1 |
| Total | 11117 | 12346 |