A368588 Number of misère-play left dead end games born by day n.

1, 2, 4, 10, 52, 21278

Offset: 0

Author

Aaron N. Siegel, Dec 31 2023

Keywords

• nonn
• hard
• more

Comments

A partizan combinatorial game G is a left dead end if no subposition of G has any left options. In normal play, every left dead end is equal to a nonpositive integer. In misère play, the left dead ends have a more intricate structure; this sequence counts the misère-inequivalent left dead ends with birthday <= n.

References

• E. R. Berlekamp, J. H. Conway and R. K. Guy, Winning Ways, Academic Press, NY, 2 vols., 1982.

Links

• Aaron N. Siegel, On the general dead-ending universe of partizan games, arXiv:2312.16259 [math.CO], 2023.

Crossrefs

Cf. A065401, A047995, A260969.