A032009 Number of planted planar trees (n+1 nodes) where any 2 subtrees extending from the same node have a different number of nodes.

1, 1, 1, 3, 5, 13, 35, 95, 249, 691, 2007, 5719, 16823, 49371, 146755, 438301, 1319343, 3981699, 12129477, 36987253, 113456615, 348921105, 1077206189, 3332120237, 10347481901, 32183230157, 100372658801, 313633257399