A222318 Number of 4-dimensional simplicial convex polytopes with n nodes.

1, 2, 5, 37, 1142, 162004

Offset

5,2

Links

Table of n, a(n) for n=5..10.

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.

Crossrefs

Cf. A000109, A005841.

Sequence in context: A041959 A051739 A189409 * A084436 A210482 A053609

Adjacent sequences: A222315 A222316 A222317 * A222319 A222320 A222321

Keyword

nonn,more

Author

N. J. A. Sloane, Feb 16 2013

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

Status

approved