####Utility for generate all non-isomorphic free trees####
This utility generate all non-isomorphic free trees layouts, where:
layout(tree, root) is a sequence of numbers li = dist(vertexi, root)
Generated tree layouts will be sorted on lexicographically order.
####Count of free non-isomorphic trees####
| Vertices count | Trees count |
|---|---|
| 1 | 1 |
| 2 | 1 |
| 3 | 1 |
| 4 | 2 |
| 5 | 3 |
| 6 | 6 |
| 7 | 11 |
| 8 | 23 |
| 9 | 47 |
| 10 | 106 |
| 11 | 235 |
| 12 | 511 |
| 13 | 1301 |
| 14 | 3159 |
| 15 | 7741 |