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A090246
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The largest subset of P(Z/3Z)^n which does not contain 3 colinear points
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2
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OFFSET
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1,1
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COMMENTS
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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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Table of n, a(n) for n=1..5.
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]
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CROSSREFS
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Cf. A090245.
Sequence in context: A151523 A026395 A015889 * A104442 A104434 A104433
Adjacent sequences: A090243 A090244 A090245 * A090247 A090248 A090249
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KEYWORD
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nonn,more
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AUTHOR
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Hans Havermann, Jan 23 2004
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EXTENSIONS
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Edited by Jack Grahl, May 12 2009
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STATUS
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approved
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