A164803 Arises in enumerating geometric hyperplanes of the near hexagon L_3 x GQ(2,2).

30, 45, 18, 270, 90, 120, 360, 90

Offset

1,1

Comments

Leftmost and rightmost column of Table 2, p. 6, of Saniga et al.: An overview of the types of geometric hyperplanes of the near hexagon L_3 x GQ(2,2). For each type (Tp) of hyperplane we give the number of points (Pt) and lines (Ln), followed by the cardinalities of the points of a given order, cardinalities of deep (dp), singular (sg), ovoidal (ov) and subquadrangular (sq) quads of both kinds, and, finally, the total number of its copies (Cd). |H_i| = 1 (mod 4) for any i according to their point cardinality.

Links

Table of n, a(n) for n=1..8.

Metod Saniga, Peter Levay, Michel Planat, Petr Pracna, Geometric Hyperplanes of the Near Hexagon L_3 times GQ(2,2), Aug 24, 2009.

Crossrefs

Sequence in context: A102843 A242445 A062385 * A152569 A114944 A075290

Adjacent sequences: A164800 A164801 A164802 * A164804 A164805 A164806

Keyword

fini,full,nonn

Author

Jonathan Vos Post, Aug 26 2009

Status

approved