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A325595 Number of symmetric Euclidean pseudo-order types: nondegenerate abstract order types of configurations of n points in the plane with a nontrivial automorphism. 2
0, 1, 1, 2, 3, 12, 30, 230, 849, 13434, 76200, 2392066 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Table of n, a(n) for n=1..12.

S. Felsner and J. E. Goodman, Pseudoline Arrangements. In: Toth, O'Rourke, Goodman (eds.) Handbook of Discrete and Computational Geometry, 3rd edn. CRC Press, 2018.

FORMULA

Asymptotics: a(n) = 2^(Theta(n^2)). This is Bachmann-Landau notation, that is, there are constants n_0, c, and d, such that for every n >= n_0 the inequality 2^{c n^2} <= a(n) <= 2^{d n^2} is satisfied. For more information see e.g. the Handbook of Discrete and Computational Geometry. - Manfred Scheucher, Sep 12 2019

CROSSREFS

Cf. A006247, A325628.

Sequence in context: A109489 A169636 A105401 * A256031 A073617 A034381

Adjacent sequences:  A325592 A325593 A325594 * A325596 A325597 A325598

KEYWORD

nonn,more

AUTHOR

Manfred Scheucher and Günter Rote, Sep 07 2019

STATUS

approved

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Last modified July 25 03:53 EDT 2021. Contains 346283 sequences. (Running on oeis4.)