A377922 - OEIS

%I #32 Dec 15 2024 10:58:07

%S 0,0,0,1,0,3,4,15,39,122,375,1212,3980,13413,45966,160295,566985,

%T 2032110,7368334,27000759,99891654,372788553,1402339329,5313959388,

%U 20272563265,77822173758,300473023929,1166377045666,4550358858954,17835405078273,70213720795466,277552814035683

%N Number of polyhedral orientations with n inner vertices.

%C a(n) is also the number of combinatorial types of corner polyhedra with n+3 flats, and the number of weak equivalence classes of tricolored contact-systems with n+3 curves. - _Éric Fusy_, Dec 14 2024

%H Éric Fusy, E. Narmanli, and G. Schaeffer, <a href="https://arxiv.org/abs/2202.09172">Enumeration of corner polyhedra and 3-connected Schnyder labelings</a>, arXiv preprint arXiv:2202.09172 [math.CO], 2022-2023. See p_n.

%Y Cf. A001181, A377920, A377921, A377923.

%K nonn

%O 0,6

%A _N. J. A. Sloane_, Dec 13 2024

%E a(13) onwards from _Éric Fusy_, Dec 14 2024