A336704 - OEIS

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A336704

Number of nonisomorphic matroids of rank 4 on n labeled points.

1, 5, 23, 108, 940, 190214, 4886380924

(list; graph; refs; listen; history; text; internal format)

OFFSET

4,2

LINKS

Table of n, a(n) for n=4..10.

W. M. B. Dukes, Tables of matroids.

W. M. B. Dukes, Counting and Probability in Matroid Theory, Ph.D. Thesis, Trinity College, Dublin, 2000.

W. M. B. Dukes, The number of matroids on a finite set, arXiv:math/0411557 [math.CO], 2004.

W. M. B. Dukes, On the number of matroids on a finite set, Séminaire Lotharingien de Combinatoire 51 (2004), Article B51g.

Markus Kirchweger, Manfred Scheucher, and Stefan Szeider, A SAT Attack on Rota's Basis Conjecture, Leibniz International Proceedings in Informatics (LIPIcs 2022) Vol. 236, 4:1-4:18.

Yoshitake Matsumoto, Database of Matroids

CROSSREFS

Column k=4 of A053534.

Cf. A058693.

Sequence in context: A126473 A238112 A109877 * A179598 A192810 A278677

Adjacent sequences: A336701 A336702 A336703 * A336705 A336706 A336707

KEYWORD

nonn,more

AUTHOR

Manfred Scheucher, Aug 31 2020

EXTENSIONS

a(10) from Database of Matroids added by Andrey Zabolotskiy, Mar 26 2023

STATUS

approved