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COMMENT
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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.
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LINKS
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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]
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