1,1

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 analogue of A090245 for this game.

So far this sequence agrees with A104442.

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 (info(AT)polprimos.com), Feb 21 2009]

Ivars Peterson, SET Math.

Ivars Peterson, SET Math [From Omar E. Pol (info(AT)polprimos.com), Feb 21 2009]

Cf. A090245.

Sequence in context: A003407 A151523 A026395 this_sequence A104442 A104434 A104433

Adjacent sequences: A090243 A090244 A090245 this_sequence A090247 A090248 A090249

nonn,more

Hans Havermann (pxp(AT)rogers.com), Jan 23 2004

Edited by Jack Grahl (jgrahl(AT)math.ucl.ac.uk), May 12 2009