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A058733
Number of nonisomorphic simple matroids of rank 4 on n labeled points.
1
1, 3, 11, 49, 617, 185981
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OFFSET
4,2
LINKS
Table of n, a(n) for n=4..9.
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
.
Index entries for sequences related to matroids
CROSSREFS
Column k=4 of
A058730
.
Sequence in context:
A331617
A193319
A265905
*
A203163
A024333
A024334
Adjacent sequences:
A058730
A058731
A058732
*
A058734
A058735
A058736
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
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Last modified April 18 03:01 EDT 2024. Contains 371767 sequences. (Running on oeis4.)