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A058730
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Triangle T(n,k) giving number of nonisomorphic simple matroids of rank k on n labeled points (n >= 2, 2<=k<=n).
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4
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1, 1, 1, 1, 2, 1, 1, 4, 3, 1, 1, 9, 11, 4, 1, 1, 23, 49, 22, 5, 1, 1, 68, 617, 217, 40, 6, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 2,5
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LINKS
| W. M. B. Dukes, Tables of matroids
W. M. B. Dukes, Counting and Probability in Matroid Theory, Ph.D. Thesis, Trinity College, Dublin, 2000.
Index entries for sequences related to matroids
W. M. B. Dukes, On the number of matroids on a finite set
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EXAMPLE
| 1; 1,1; 1,2,1; 1,4,3,1; ...
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CROSSREFS
| Cf. A058720. Row sums give A002773. Diagonals give A058731, A058733.
Sequence in context: A125781 A091150 A091351 * A112705 A070895 A127054
Adjacent sequences: A058727 A058728 A058729 * A058731 A058732 A058733
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KEYWORD
| nonn,tabl,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Dec 31 2000
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