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A058710 Triangle T(n,k) giving number of loopless matroids of rank k on n labeled points (n >= 0, 0<=k<=n). 6
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; text; internal format)
OFFSET

0,9

LINKS

Table of n, a(n) for n=0..44.

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

EXAMPLE

1; 0,1; 0,1,1; 0,1,4,1; 0,1,14,11,1; ...

CROSSREFS

Cf. A058711. Row sums give A058712. Diagonals give A058692, A058715.

Sequence in context: A055105 A200545 A294522 * A281891 A124539 A249094

Adjacent sequences:  A058707 A058708 A058709 * A058711 A058712 A058713

KEYWORD

nonn,tabl,nice

AUTHOR

N. J. A. Sloane, Dec 31 2000

EXTENSIONS

Corrected T(5,2) from 31 to 51. - Ralf Stephan, Nov 29 2004

STATUS

approved

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Last modified January 17 18:27 EST 2019. Contains 319250 sequences. (Running on oeis4.)