

A005841


Number of 4dimensional polytopes with n vertices.
(Formerly M3641)


3




OFFSET

5,2


REFERENCES

H. T. Croft, K. J. Falconer and R. K. Guy, Unsolved Problems in Geometry, B15.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).


LINKS

Table of n, a(n) for n=5..9.
Lukas Finschi, A Graph Theoretical Approach for Reconstruction and Generation of Oriented Matroids, A dissertation submitted to the Swiss Federal Institute of Technology, Zurich for the degree of Doctor of Mathematics, 2001. See Table 7.5.
Moritz Firsching, The complete enumeration of 4polytopes and 3spheres with nine vertices, arXiv:1803.05205 [math.MG], 2018.
Fukuda, Komei; Miyata, Hiroyuki; Moriyama, Sonoko. Complete Enumeration of Small Realizable Oriented Matroids. Discrete Comput. Geom. 49 (2013), no. 2, 359381. MR3017917. Also arXiv:1204.0645.  From N. J. A. Sloane, Feb 16 2013


CROSSREFS

Cf. A000944.
Sequence in context: A143077 A203011 A228467 * A005828 A084764 A061789
Adjacent sequences: A005838 A005839 A005840 * A005842 A005843 A005844


KEYWORD

nonn,hard,nice,more


AUTHOR

N. J. A. Sloane.


EXTENSIONS

a(9), from the paper by M. Firshing, added by Jud McCranie, Jan 30 2020


STATUS

approved



