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A133338
Number of combinatorial types of neighborly 4-polytopes with n vertices.
0
1, 1, 1, 3, 23, 431, 13935, 556062
OFFSET
5,4
REFERENCES
B. Gruenbaum, Convex Polytopes, 2nd Edition, p. 129a.
LINKS
Djordje Baralić and Lazar Milenković, Surprising Examples of Manifolds in Toric Topology!, arXiv:1704.05932 [math.AT], 2017.
Djordje Baralić and Lazar Milenković, Small Covers and Quasitoric Manifolds over Neighborly Polytopes, Mediterr. J. Math. 19, 87 (2022).
Firsching, Moritz Realizability and inscribability for simplicial polytopes via nonlinear optimization. Math. Program. 166, No. 1-2 (A), 273-295 (2017). Table 1
Moritz Firsching, The complete enumeration of 4-polytopes and 3-spheres with nine vertices, arXiv:1803.05205 [math.MG], 2018.
CROSSREFS
Sequence in context: A118195 A055326 A271851 * A298466 A358069 A116986
KEYWORD
nonn,more
AUTHOR
Gabriel Cunningham (oeis(AT)gabrielcunningham.com), Oct 19 2007
EXTENSIONS
a(11)-a(12) from Moritz Firsching's page added by Andrey Zabolotskiy, Dec 24 2021
a(12) corrected from 556061 to 556062 based on Baralić & Milenković's paper. Apparently earlier I misinterpreted Firsching's data. - Andrey Zabolotskiy, Aug 27 2022
STATUS
approved