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Figure 1: Ternary (3-ary) ordered trees with nThere are 1 = 1, 2, 3 and 4 vertices., 3, 12, 55 such trees for n = 1, 2, 3, 4, respectively
Figure 2: Rooted ordered trees with n = 1, 2, 3, 4 vertices.
Figure 3: Rooted ordered trees with nof diagrams in the row. The second factor comes from the various vertex types (due to thearity) and the last factor gives the number of increasing labelings.The multiplicities add up to 3465 =here withthe 9 types of uno
Figure 4: Rooted ordered trees with n = 6 vertices.
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Notations & Abbreviations N Set of all natural numbers N0 Set of all whole numbers;N∪ {0} C Set of all complex numbers; Complex plane D Unit disk {z∈C: |z| θ} T Homogeneous rooted