A222318 Number of 4-dimensional simplicial convex polytopes with n nodes.
1, 2, 5, 37, 1142, 162004
Offset: 5
Links
- 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, Israel Journal of Mathematics 240, 417-441 (2020); arXiv:1803.05205 [math.MG], 2018.
- Komei Fukuda, Hiroyuki Miyata and Sonoko Moriyama, Complete Enumeration of Small Realizable Oriented Matroids. Discrete Comput. Geom. 49 (2013), no. 2, 359--381. MR3017917. Also arXiv:1204.0645 [math.CO], 2012.
Extensions
Changed "4" to "n" in description of sequence. - Moritz Firsching, Apr 02 2015
a(10) from M. Firsching's paper added by Andrey Zabolotskiy, Jun 28 2022