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A058717
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Triangle T(n,k) giving number of nonisomorphic loopless matroids of rank k on n labeled points (n >= 1, 1<=k<=n).
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1
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1, 1, 1, 1, 2, 1, 1, 4, 3, 1, 1, 6, 9, 4, 1, 1, 10, 25, 18, 5, 1, 1, 14, 70, 85, 31, 6, 1, 1, 21, 217, 832, 288, 51, 7, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,5
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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; 0,1; 0,1,1; 0,1,2,1; 0,1,4,3,1; ...
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CROSSREFS
| Cf. A058716 (same except for border), A058710, A058711. Row sums give A058718. Diagonals give A000065, A058719.
Sequence in context: A110470 A055080 A034367 * A034371 A101321 A091186
Adjacent sequences: A058714 A058715 A058716 * A058718 A058719 A058720
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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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