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A296406
Number of non-isomorphic arrangements of n pairwise intersecting pseudo-circles on a sphere, reduced for mirror symmetry.
8
1, 1, 1, 2, 8, 278, 145058, 447905202
OFFSET
0,4
COMMENTS
The list of arrangements is available online on the Homepage of Pseudocircles (see below) and a detailed description for the enumeration can be found in Arrangements of Pseudocircles: On Circularizability (see below).
LINKS
S. Felsner and M. Scheucher Homepage of Pseudocircles
S. Felsner and M. Scheucher, Arrangements of Pseudocircles: On Circularizability, arXiv:1712.02149 [cs.CG], 2017.
Yan Alves Radtke, Stefan Felsner, Johannes Obenaus, Sandro Roch, Manfred Scheucher, and Birgit Vogtenhuber, Flip Graph Connectivity for Arrangements of Pseudolines and Pseudocircles, arXiv:2310.19711 [math.CO], 2023. See p. 41.
FORMULA
a(n) = 2^(\Theta(n^2)). (cf. Arrangements of Pseudocircles: On Circularizability)
KEYWORD
nonn,more
AUTHOR
Manfred Scheucher, Dec 11 2017
STATUS
approved