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A058693
Number of nonisomorphic matroids of rank 3 on n labeled points.
2
1, 4, 13, 38, 108, 325, 1275, 10037, 298491, 31899134
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OFFSET
3,2
LINKS
Table of n, a(n) for n=3..12.
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
.
Sequence in context:
A056014
A247287
A159036
*
A027076
A183112
A364647
Adjacent sequences:
A058690
A058691
A058692
*
A058694
A058695
A058696
KEYWORD
nonn
,
more
AUTHOR
N. J. A. Sloane
, Dec 30 2000
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
STATUS
approved
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Last modified April 18 04:56 EDT 2024. Contains 371767 sequences. (Running on oeis4.)