Almost-bipartite distance-regular graphs with the Q-polynomial property

Let ΓΓ denote a Q-polynomial distance-regular graph with diameter D≥4D≥4. Assume that the intersection numbers of ΓΓ satisfy ai=0ai=0 for 0≤i≤D−10≤i≤D−1 and aD≠0aD≠0. We show that ΓΓ is a polygon, a folded cube, or an Odd graph.