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Search: id:A137295
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| A137295 |
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P-positions in sparse Atomic Wari, octal game .37. |
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+0
1
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| 0, 3, 11, 19, 29, 45, 71, 97, 123, 149, 175, 313, 407
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The sequence is only conjectured to be finite as of the publication in 1996, but there are definitely no more terms under 200000, so the conjecture seems extremely likely to be true.
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REFERENCES
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J. Erickson, "Sowing Games", in Nowakowski (ed) _Games of No Chance_, 1996. p. 295
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LINKS
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J. Erickson, Sowing Games article from Games of No Chance.
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EXAMPLE
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A player can remove one seed from any pile, or remove two seeds from any pile and optionally split the remainder into two piles.
A pile of 3 is a P-position because whether the player to move takes 1 or 2, the next player takes 2 or 1 and wins.
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CROSSREFS
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Adjacent sequences: A137292 A137293 A137294 this_sequence A137296 A137297 A137298
Sequence in context: A017101 A112422 A125994 this_sequence A038536 A031369 A014223
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KEYWORD
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fini,nonn
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AUTHOR
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Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), Mar 15 2008
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