A005841 Number of 4-dimensional polytopes with n vertices.
1, 4, 31, 1294, 274148
Offset: 5
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
- 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.
Extensions
a(9), from the paper by M. Firshing, added by Jud McCranie, Jan 30 2020