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We continue the investigations of lattice walks in the three dimensionallattice restricted to the positive octant. We separate models which clearlyhave a D-finite generating function from models for which there is no reason toexpect that their generating function is D-finite, and we isolate a small setof models whose nature remains unclear and requires further investigation. Forthese, we give some experimental results about their asymptotic behaviour,based on the inspection of a large number of initial terms. At least for someof them, the guessed asymptotic form seems to tip the balance towardsnon-D-finiteness.

Continued Classification of 3D Lattice Walks in the Positive Octant