A126305 a(n) = number of nodes with even distance to the root in the n-th plane general tree encoded by A014486(n). The root node itself is also included.

1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 2, 2, 3, 2, 2, 3, 3, 4, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 3, 3, 4, 3, 2, 3, 2, 3, 2, 3, 3, 4, 3, 3, 4, 4, 5, 4, 3, 4, 3, 4, 2, 3, 3, 4, 3, 2, 3, 2, 3, 3, 4, 3, 4, 3, 1, 2, 2, 3, 2, 2, 3, 3, 4, 3, 2, 3, 2, 3, 2, 3, 3, 4, 3, 3, 4, 4, 5, 4, 3, 4, 3, 4, 2, 3, 3, 4, 3, 2, 3, 2, 3