A172149 Number of chirotopes resulting from realizable uniform oriented matroids of rank 3 over a ground set of n elements.

2, 16, 384, 23808, 3486720

Offset

3,1

Comments

The above numbers were obtained from random sprinkling of points into S^2.

References

J. Brunnemann and D. Rideout, "Oriented matroids—combinatorial structures underlying loop quantum gravity", Class.Quant.Grav. 27, 205008 (2010).

J. Brunnemann and D. Rideout, "Properties of the Volume Operator in Loop Quantum Gravity II: Detailed Presentation", Class.Quant.Grav. 25 065002 (2008).

Links

Table of n, a(n) for n=3..7.

Crossrefs

A172144

Sequence in context: A052737 A002474 A375059 * A340563 A295710 A012390

Adjacent sequences: A172146 A172147 A172148 * A172150 A172151 A172152

Keyword

nonn,more

Author

Johannes Brunnemann (jbrunnem(AT)math.upb.de) and David Rideout, Nov 19 2010

Status

approved