A058718 Number of nonisomorphic loopless matroids on n unlabeled points.

1, 1, 2, 4, 9, 21, 60, 208, 1418, 381448

Offset

0,3

Links

Table of n, a(n) for n=0..9.

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.

Dillon Mayhew and Gordon F. Royle, Matroids with nine elements, J. Combin. Theory Ser. B 98(2) (2008), 415-431.

Gordon Royle and Dillon Mayhew, 9-element matroids.

Index entries for sequences related to matroids

Crossrefs

Row sums of A058716.

Sequence in context: A048194 A148075 A351364 * A148076 A217976 A156801

Adjacent sequences: A058715 A058716 A058717 * A058719 A058720 A058721

Keyword

nonn,nice,more

Author

N. J. A. Sloane, Dec 31 2000

Extensions

a(9) from Gordon Royle, Dec 23 2006

Status

approved