A tripod is a tree having exactly three tree leaves (Pirnazar and Ullman 2002). The numbers of tripods on , 2, ... vertices are 0,
0, 0, 1, 1, 2, 3, 4, 5, 7, 8, 10, 12, 14, 16, ... (OEIS A001399),
the first of which are illustrated above.
A list of tripods on small numbers of vertices is implemented in the Wolfram Language as GraphData["Tripod"].