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%I M3641 #32 Dec 17 2021 11:30:12
%S 1,4,31,1294,274148
%N Number of 4-dimensional polytopes with n vertices.
%D H. T. Croft, K. J. Falconer and R. K. Guy, Unsolved Problems in Geometry, B15.
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H Lukas Finschi, <a href="http://www.ifor.math.ethz.ch/publications/diss_finschi">A Graph Theoretical Approach for Reconstruction and Generation of Oriented Matroids</a>, A dissertation submitted to the Swiss Federal Institute of Technology, Zurich for the degree of Doctor of Mathematics, 2001. See Table 7.5.
%H Moritz Firsching, <a href="https://arxiv.org/abs/1803.05205">The complete enumeration of 4-polytopes and 3-spheres with nine vertices</a>, arXiv:1803.05205 [math.MG], 2018.
%H Fukuda, Komei; Miyata, Hiroyuki; Moriyama, Sonoko. <a href="http://arxiv.org/abs/1204.0645">Complete Enumeration of Small Realizable Oriented Matroids</a>. Discrete Comput. Geom. 49 (2013), no. 2, 359--381. MR3017917. Also arXiv:1204.0645. - From _N. J. A. Sloane_, Feb 16 2013
%Y Cf. A000944.
%K nonn,hard,nice,more
%O 5,2
%A _N. J. A. Sloane_
%E a(9), from the paper by M. Firshing, added by _Jud McCranie_, Jan 30 2020
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