A284965 a(n) is the number of self-conjugate partitions of n which represent Chomp positions with Sprague-Grundy value 1.

0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 3, 0, 3, 0, 4, 0, 4, 0, 5, 0, 5, 0, 6, 0, 6, 0, 7, 0, 7, 0, 8, 0, 8, 0, 9, 0, 9, 0, 10, 0, 10, 0, 11, 0, 11, 0, 12, 0, 12, 0, 13, 0, 13, 0, 14, 0, 14, 0, 15, 0, 15, 0, 16, 0, 16, 0, 17, 0

Offset

1,8

Comments

The number of all Chomp positions with Sprague-Grundy value 1 are given in A284687.

References

P. M. Grundy, Mathematics and games, Eureka 2 (1939), 6-8; reprinted (1964), Eureka 27, 9-11.

Links

Table of n, a(n) for n=1..69.

Thomas S. Ferguson, Game Theory (lecture notes + exercise questions for a course on Combinatorial Game Theory).

P. M. Grundy, Mathematics and games, Eureka (The Archimedeans' Journal), No. 2, 1939, pp. 6-8. [Annotated scanned copy. My former colleague and coauthor Florence Jessie MacWilliams (nee Collinson), who was a student at Cambridge University in 1939, gave me this journal. - N. J. A. Sloane, Nov 17 2018]

R. Sprague, Über mathematische Kampfspiele, Tohoku Math. J. 41 (1936), 438-444.

R. Sprague, Über zwei Abarten von Nim, Tohoku Math. J. 43 (1937), 351-354.

Crossrefs

Cf. A112471, A112472, A112473, A284687.

Sequence in context: A053399 A322996 A242096 * A274101 A117773 A363824

Adjacent sequences: A284962 A284963 A284964 * A284966 A284967 A284968

Keyword

nonn

Author

Thomas J Wolf, Apr 06 2017

Status

approved