On generating series of complementary planar trees

Roland Bacher (1)

1 IF - Institut Fourier

We generalize and reprove an identity of Parker and Loday. It states that certain pairs of generating series associated to pairs of labelled rooted planar trees are mutually inverse under composition.

Mots clés: spin model; planar tree; inversion of power series; generating function; Integer sequence

Domaines: Combinatoire [math.CO]

Roland Bacher. On generating series of complementary planar trees. 2004. ⟨hal-00002767⟩