cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A063804 Triangle T(n,k) (n >= 3, k = 1..n-2) read by rows, giving number of nonisomorphic oriented matroids with n points in n-k dimensions.

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%I A063804 #21 Feb 22 2023 12:00:33
%S A063804 1,1,2,1,3,4,1,4,12,17,1,5,25,206,143,1,6,50,6029,181472,4890,1,7,91,
%T A063804 508321
%N A063804 Triangle T(n,k) (n >= 3, k = 1..n-2) read by rows, giving number of nonisomorphic oriented matroids with n points in n-k dimensions.
%D A063804 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.
%D A063804 Fukuda, Komei; Miyata, Hiroyuki; Moriyama, Sonoko. Complete Enumeration of Small Realizable Oriented Matroids. Discrete Comput. Geom. 49 (2013), no. 2, 359--381. MR3017917. - From _N. J. A. Sloane_, Feb 16 2013
%H A063804 Lukas Finschi, <a href="https://finschi.com/math/om/">Homepage of Oriented Matroids</a>
%H A063804 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 A063804 Triangle begins:
%e A063804 1
%e A063804 1 2
%e A063804 1 3 4
%e A063804 1 4 12 17
%e A063804 1 5 25 206 143
%e A063804 1 6 50 6029 181472 4890
%e A063804 1 7 91 508321 unknown unknown 461053
%e A063804 ...
%Y A063804 Diagonals give A063800-A063803, A246988, A246989. Row sums give A063805. For nondegenerate matroids see A063851.
%K A063804 nonn,tabl,nice,more
%O A063804 3,3
%A A063804 _N. J. A. Sloane_, Aug 20 2001