A336704 Number of nonisomorphic matroids of rank 4 on n labeled points.

1, 5, 23, 108, 940, 190214, 4886380924

Offset: 4

Author

Manfred Scheucher, Aug 31 2020

Keywords

• nonn
• more

Links

• W. M. B. Dukes, Tables of matroids.
• W. M. B. Dukes, Counting and Probability in Matroid Theory, Ph.D. Thesis, Trinity College, Dublin, 2000.
• W. M. B. Dukes, The number of matroids on a finite set, arXiv:math/0411557 [math.CO], 2004.
• W. M. B. Dukes, On the number of matroids on a finite set, Séminaire Lotharingien de Combinatoire 51 (2004), Article B51g.
• Markus Kirchweger, Manfred Scheucher, and Stefan Szeider, A SAT Attack on Rota's Basis Conjecture, Leibniz International Proceedings in Informatics (LIPIcs 2022) Vol. 236, 4:1-4:18.
• Yoshitake Matsumoto, Database of Matroids

Crossrefs

Column k=4 of A053534.

Cf. A058693.

Extensions

a(10) from Database of Matroids added by Andrey Zabolotskiy, Mar 26 2023