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Triangle T(n,k) (n >= 2, k = 0..n-2) giving number of abstract dissection types of configurations of n points in n-k dimensions.
6

%I #14 Feb 22 2023 12:00:33

%S 1,1,3,1,5,8,1,7,27,46,1,9,71,1063,790,1,11,156,44956,1434219,37829,1,

%T 13,325

%N Triangle T(n,k) (n >= 2, k = 0..n-2) giving number of abstract dissection types of configurations of n points in n-k dimensions.

%H Lukas Finschi, <a href="https://finschi.com/math/om/">Homepage of Oriented Matroids</a>

%H L. Finschi and K. Fukuda, <a href="http://www.cccg.ca/proceedings/2001/finschi-1053.ps.gz">Complete combinatorial generation of small point set configurations and hyperplane arrangements</a>, pp. 97-100 in Abstracts 13th Canadian Conference on Computational Geometry (CCCG '01), Waterloo, Aug. 13-15, 2001.

%e Triangle begins

%e 1;

%e 1,3;

%e 1,5,8;

%e 1,7,27,46;

%e ...

%Y Diagonals give A063859, A063860, A063861, A246992, A246993. Row sums give A063862.

%K nonn,tabl,nice,more

%O 2,3

%A _N. J. A. Sloane_, Aug 26 2001