A005841 Number of 4-dimensional polytopes with n vertices. (Formerly M3641)

1, 4, 31, 1294, 274148

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 4-polytopes and 3-spheres 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, 359--381. 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