A284976 a(n) is the number of self-conjugate partitions of n which represent Chomp positions with Sprague-Grundy value 5.

0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 3, 0, 4, 1, 2, 3, 6, 2, 4, 4, 4, 3, 8, 5, 7, 7, 9, 7, 7, 11, 14, 9, 5, 16, 13, 28, 16, 26, 18, 23, 27, 32, 27, 35, 33, 39, 34, 56

Offset

1,30

Comments

The number of all Chomp positions with Sprague-Grundy value 5 are given in A284692.

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, A284692.

Sequence in context: A053120 A366601 A336836 * A008743 A029179 A008721

Adjacent sequences: A284973 A284974 A284975 * A284977 A284978 A284979

Keyword

nonn

Author

Thomas J Wolf, Apr 06 2017

Status

approved