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.

A172144 Number of chirotopes resulting from realizable uniform oriented matroids of rank 3 over a ground set of n elements modulo permutations.

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%I A172144 #10 Jul 07 2015 17:36:03
%S A172144 1,3,4,41,706,28287
%N A172144 Number of chirotopes resulting from realizable uniform oriented matroids of rank 3 over a ground set of n elements modulo permutations.
%C A172144 The above numbers were obtained from random sprinkling of points into S^2.
%C A172144 The first five entries match those constructed from A018242, by explicitly applying each reorientation to a representative chirotope for each class of A018242, and grouping the chirotopes related by a permutation.
%D A172144 J. Brunnemann and D. Rideout, "Oriented matroids—combinatorial structures underlying loop quantum gravity", Class.Quant.Grav. 27, 205008 (2010).
%D A172144 J. Richter-Gebert, "On the Realizability Problem of Combinatorial Geometries - Decision Methods", Ph.D. thesis, TH-Darmstadt 1992, 144 pages.
%Y A172144 Cf. A018242.
%K A172144 nonn,more
%O A172144 3,2
%A A172144 Johannes Brunnemann (jbrunnem(AT)math.upb.de) and _David Rideout_, Nov 19 2010