A011832 f-vectors for simplicial complexes of dimension at most 7 on at most n-1 vertices.

2, 3, 5, 10, 26, 96, 553, 5461, 100709, 3718353, 286007155, 32121018248, 2641102182925, 135759833224363, 4635201718175448, 113247016996007525, 2101126725683521037, 30975390230263001230, 375710371221886207918