A058693 Number of nonisomorphic matroids of rank 3 on n labeled points.
1, 4, 13, 38, 108, 325, 1275, 10037, 298491, 31899134
Offset: 3
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
- Dillon Mayhew and Gordon F. Royle, Matroids with nine elements, arXiv:math/0702316 [math.CO], 2007 (see p. 7).
- Dillon Mayhew and Gordon F. Royle, Matroids with nine elements, J. Combin. Theory Ser. B 98(2) (2008), 415-431.
- Index entries for sequences related to matroids
Crossrefs
Column k=3 of A053534.
Extensions
a(9) from Petros Hadjicostas, Oct 10 2019 using the papers of Mayhew and Royle
a(10)-a(11) from Manfred Scheucher, Sep 02 2020
a(12) from Database of Matroids added by Andrey Zabolotskiy, Mar 26 2023