A284978 a(n) is the number of self-conjugate partitions of n which represent Chomp positions with Sprague-Grundy value 7.

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 7, 3, 6, 2, 1, 10, 4, 12, 5, 12, 10, 10, 11, 11, 10, 10, 17, 17, 21, 20, 22, 15, 26, 28

Offset

1,32

Comments

The number of all Chomp positions with Sprague-Grundy value 7 are given in A284780.

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).

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, A284780.

Sequence in context: A071429 A264398 A145364 * A175862 A261083 A186713

Adjacent sequences: A284975 A284976 A284977 * A284979 A284980 A284981

Keyword

nonn

Author

Thomas J Wolf, Apr 06 2017

Status

approved