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Table 1 The number of trees, the number of spectra for the generalized Laplacian (GLS), and the number of spectra for the distance matrix (DS).

From: Ubiquity of synonymity: almost all large binary trees are not uniquely identified by their spectra or their immanantal polynomials

leaves trees GLS DS
2 1 1 1
3 1 1 1
4 2 2 2
5 3 3 3
6 6 6 6
7 11 11 11
8 23 22 23
9 46 45 46
10 98 95 98
11 207 203 207
12 451 443 451
13 983 972 983
14 2179 2159 2179
15 4850 4827 4850
16 10905 10870 10905
17 24631 24580 24630
18 56011 55931 56009
19 127912 127830 127908