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A137295 P-positions in sparse Atomic Wari, octal game .37. +0
1
0, 3, 11, 19, 29, 45, 71, 97, 123, 149, 175, 313, 407 (list; graph; listen)
OFFSET

1,2

COMMENT

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.

REFERENCES

J. Erickson, "Sowing Games", in Nowakowski (ed) _Games of No Chance_, 1996. p. 295

LINKS

J. Erickson, Sowing Games article from Games of No Chance.

EXAMPLE

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.

CROSSREFS

Sequence in context: A017101 A112422 A125994 this_sequence A038536 A031369 A014223

Adjacent sequences: A137292 A137293 A137294 this_sequence A137296 A137297 A137298

KEYWORD

fini,nonn

AUTHOR

Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), Mar 15 2008

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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