A031436 Number of proper linear spaces of order n.

1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 3, 7, 1, 119, 398, 161925, 2412890

Offset

0,13

Links

Table of n, a(n) for n=0..18.

Anton Betten and Dieter Betten, The proper linear spaces on 17 points, Discrete Applied Mathematics, Volume 95, no. 1-3, 1999, pp. 83-108.

Anton Betten and Dieter Betten, Note on the Proper Linear Spaces on 18 Points, in "Algebraic Combinatorics and Applications", Springer 2001, pp. 40-54.

Anton Betten and Dieter Betten, Data up to 18 points, Proceedings of ALCOMA 1999, Springer Verlag 2000, 40-54 [free access].

Hans-Dietrich O. F. Gronau, Ronald C. Mullin, Christian Pietsch, Pairwise Balanced Designs as Linear Spaces, pp. 228-235, table 4.19 [but beware errors], in: Charles J. Colbourn, Ed., CRC Handbook of Combinatorial Designs, CRC Press, Boca Raton 1996 [PDF preview]

Crossrefs

Cf. A001200, A031437, A031438, A001439, A056642.

Sequence in context: A077505 A309376 A247382 * A144556 A001439 A318215

Adjacent sequences: A031433 A031434 A031435 * A031437 A031438 A031439

Keyword

nonn,nice,hard,more

Author

Anton Betten (Anton.Betten(AT)uni-bayreuth.de)

Extensions

Additional comments from Michael Somos, Nov 18 2001

Status

approved