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A055545 Number of matroids on n points. +0
4
1, 2, 4, 8, 17, 38, 98, 306, 1724, 383172 (list; graph; listen)
OFFSET

0,2

COMMENT

This is the total number of pairwise non-isomorphic (i.e. "unlabeled") matroids on n points, with no restrictions on loops, parallel elements etc.

REFERENCES

Oxley, J. G., Matroid Theory. Oxford, England: Oxford University Press, 1993.

LINKS

Gordon Royle and Dillon Mayhew, 9-element matroids

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

Index entries for sequences related to matroids

CROSSREFS

Cf. A002773.

Adjacent sequences: A055542 A055543 A055544 this_sequence A055546 A055547 A055548

Sequence in context: A118928 A049312 A132043 this_sequence A036375 A036376 A000598

KEYWORD

nonn,nice

AUTHOR

Eric Weisstein (eric(AT)weisstein.com)

EXTENSIONS

a(9) from Gordon Royle, Dec 23 2006

page 1

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Last modified November 8 07:45 EST 2009. Contains 166143 sequences.


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