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Table 1 Counts of the normal networks with k reticulations on [n],1≤kn−2 and 3≤n≤7

From: Generating normal networks via leaf insertion and nearest neighbor interchange

k\n345678
135485514,040248,5354,787,370
2 48231078,1202,377,62070,749,000
3  1920184,68011,038,530536,524,830
4   146,52023,797,3022,217,404,379
5    16,198,7643,802,965,091
6     2,479,006,101