A090246 The largest subset of P(Z/3Z)^n that does not contain 3 collinear points.

2, 4, 10, 20, 56

Offset: 1

Author

Hans Havermann, Jan 23 2004

Keywords

• nonn
• more

Comments

P(Z/3Z)^n is the projective space of n dimensions over the finite field Z/3Z. This is the size of the largest subset which does not contain 3 points lying in a line.

Davis and Maclagan described a game similar to the game SET that could be played in this space using projective lines, rather than in (Z/3Z)^n using the algebraic notion of line. This sequence is the analog of A090245 for this game.

So far this sequence agrees with A104442.

Links

• B. Davis and D. Maclagan, The Card Game SET, The Mathematical Intelligencer, Vol. 25:3 (Summer 2003), pp. 33-40.
• B. L. Davis and D. Maclagan, The Card Game SET [From _Omar E. Pol_, Feb 21 2009]
• Ivars Peterson, SET Math.
• Ivars Peterson, SET Math [From _Omar E. Pol_, Feb 21 2009]

Crossrefs

Cf. A090245.

Extensions

Edited by Jack W Grahl, May 12 2009