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A063853 Triangle T(n,k) (n >= 3, k = 1..n-2) read by rows giving number of abstract order types of configurations of n points in n-k dimensions. 6
1, 1, 3, 1, 5, 11, 1, 8, 55, 93, 1, 11, 204, 5083, 2121, 1, 15, 705, 505336, 10775236, 122508, 1, 19, 2293 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

3,3

REFERENCES

Lukas Finschi, A Graph Theoretical Approach for Reconstruction and Generation of Oriented Matroids, A dissertation submitted to the Swiss Federal Institute of Technology, Zurich for the degree of Doctor of Mathematics, 2001.

LINKS

Table of n, a(n) for n=3..26.

L. Finschi, Homepage of Oriented Matroids

L. Finschi and K. Fukuda, Complete combinatorial generation of small point set configurations and hyperplane arrangements, pp. 97-100 in Abstracts 13th Canadian Conference on Computational Geometry (CCCG '01), Waterloo, Aug. 13-15, 2001.

EXAMPLE

1; 1,3; 1,5,11; 1,8,55,93; ...

CROSSREFS

Diagonals give A063854, A063855, A063856, A246990, A246991. Row sums give A063857.

Sequence in context: A286910 A093905 A324017 * A219078 A266033 A105064

Adjacent sequences:  A063850 A063851 A063852 * A063854 A063855 A063856

KEYWORD

nonn,tabl,nice

AUTHOR

N. J. A. Sloane, Aug 26 2001

STATUS

approved

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Last modified January 29 07:03 EST 2020. Contains 331337 sequences. (Running on oeis4.)