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A058710
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Triangle T(n,k) giving number of loopless matroids of rank k on n labeled points (n >= 0, 0<=k<=n).
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6
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1, 0, 1, 0, 1, 1, 0, 1, 4, 1, 0, 1, 14, 11, 1, 0, 1, 51, 106, 26, 1, 0, 1, 202, 1232, 642, 57, 1, 0, 1, 876, 22172, 28367, 3592, 120, 1, 0, 1, 4139, 803583, 8274374, 991829, 19903, 247, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,9
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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; 0,1,4,1; 0,1,14,11,1; ...
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CROSSREFS
| Cf. A058711. Row sums give A058712. Diagonals give A058692, A058715.
Sequence in context: A173018 A055105 A200545 * A124539 A096501 A062862
Adjacent sequences: A058707 A058708 A058709 * A058711 A058712 A058713
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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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EXTENSIONS
| Corrected T(5,2) from 31 to 51. - Ralf Stephan, Nov 29 2004
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