A056642
Number of linear spaces on n (labeled) points.
Original entry on oeis.org
1, 1, 2, 6, 32, 353, 8390, 433039, 50166354, 13480967630
Offset: 1
W. M. B. Dukes (dukes(AT)stp.dias.ie), Aug 28 2000
- L. M. Batten and A. Beutelspacher: The theory of finite linear spaces, Cambridge Univ. Press, 1993 (see the Appendix).
- L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 303, #42.
- J. Doyen, Sur le nombre d'espaces linéaires non isomorphes de n points, Bull. Soc. Math. Belg. 19 (1967), 421-437.
- J. A. Thas, Sur le nombre d'espaces linéaires non isomorphes de n points, Bull. Soc. Math. Belg. 21 (1969), 57-66.
- 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. Dukes, Bounds on the number of generalized partitions and some applications, Australas. J. Combin. 28 (2003), 257-261.
- W. M. B. Dukes, On the number of matroids on a finite set, arXiv:math/0411557 [math.CO], 2004.
- Index entries for sequences related to matroids
A031437
Number of nonisomorphic regular linear spaces RLIN(n).
Original entry on oeis.org
1, 1, 1, 2, 2, 2, 4, 3, 4, 9, 14, 33, 839, 2041, 22192
Offset: 0
Anton Betten (Anton.Betten(AT)uni-bayreuth.de)
- A. Betten and D. Betten: Regular Linear Spaces, Beitraege Algebra Geometrie 38 (1): 111-124, 1997.
- A. Betten and D. Betten: The proper linear spaces on 17 points, Discrete Applied Mathematics, Volume 95, no. 1-3, 1999, pp. 83-108.
- CRC Handbook of Combinatorial Designs, in the article by Gronau, Mullin and Pietsch.
A001439
Number of proper linear spaces of order n.
Original entry on oeis.org
0, 0, 0, 0, 1, 0, 1, 1, 1, 3, 7, 1, 120, 398
Offset: 3
- CRC Handbook of Combinatorial Designs, 1996, p. 216.
Probably an erroneous version of
A031436.
A031438
Number of nonisomorphic proper regular linear spaces, PRLIN(n).
Original entry on oeis.org
1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 3, 3, 0, 84, 25, 0
Offset: 0
Anton Betten (Anton.Betten(AT)uni-bayreuth.de)
- A. Betten and D. Betten: The proper linear spaces on 17 points, Discrete Applied Mathematics, Volume 95, no. 1-3, 1999, pp. 83-108.
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