A137295 P-positions in sparse Atomic Wari, octal game .37.

0, 3, 11, 19, 29, 45, 71, 97, 123, 149, 175, 313, 407

Offset

1,2

Comments

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

Table of n, a(n) for n=1..13.

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: A112422 A289840 A125994 * A038536 A175122 A031369

Adjacent sequences: A137292 A137293 A137294 * A137296 A137297 A137298

Keyword

fini,nonn

Author

Joshua Zucker, Mar 15 2008

Status

approved