Number of Wedderburn-Etherington
The number of Wedderburn-Etherington is the number of binary trees, N nodes, such as any edge is not adjacent with more than three others (the edges roots are not considered), which can be built.
See Graph theory.
The first numbers of Wedderburn-Etherington are:
1,1, 1, 2, 3, 6, 11, 23, 46, 98, 207, 451, 983, 2179,4850,10905,24631,56011,127912,293547,676157,1563372,3626149,8436379,19680277,46026618,107890609,253450711,596572387,1406818759,3323236238,7862958391
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