[go: up one dir, main page]

login
A058733
Number of nonisomorphic simple matroids of rank 4 on n labeled points.
1
1, 3, 11, 49, 617, 185981
OFFSET
4,2
LINKS
Henry H. Crapo and Gian-Carlo Rota, On the foundations of combinatorial theory. II. Combinatorial geometries, Studies in Appl. Math. 49 (1970), 109-133. [Annotated scanned copy of pages 126 and 127 only]
Henry H. Crapo and Gian-Carlo Rota, On the foundations of combinatorial theory. II. Combinatorial geometries, Studies in Appl. Math. 49 (1970), 109-133.
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.
Dillon Mayhew and Gordon F. Royle, Matroids with nine elements, arXiv:math/0702316 [math.CO], 2007. [See Table 2, p. 9.]
Dillon Mayhew and Gordon F. Royle, Matroids with nine elements, J. Combin. Theory Ser. B 98(2) (2008), 415-431. [See Table 2, p. 420.]
Gordon Royle and Dillon Mayhew, 9-element matroids.
CROSSREFS
Column k=4 of A058730.
Sequence in context: A331617 A193319 A265905 * A203163 A024333 A024334
KEYWORD
nonn,nice,more
AUTHOR
N. J. A. Sloane, Dec 31 2000
EXTENSIONS
a(9) from Petros Hadjicostas, Oct 09 2019 using the papers by Mayhew and Royle
STATUS
approved