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Correction of number of tournaments with ties with 3 nodes.

Counting tournaments with ties

An improper tournament, or tournament with ties, is a graph in which every pair of nodes is connected by a single uniquely directed edge or by a single undirected edge. There are 1, 2, and 7 improper tournaments of orders 1, 2, and 3, respectively. How many are there of order 4? Of order n?