A285006 a(n) is the number of self-conjugate partitions of n which represent Chomp positions with Sprague-Grundy value 9.

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 3, 0, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 4, 3, 7, 4, 5, 8, 7, 8, 15, 9, 15, 14, 8, 8, 20, 19, 21

Offset

1,41

Comments

The number of all Chomp positions with Sprague-Grundy value 9 are given in A284782.

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, A284782.

Sequence in context: A104609 A326395 A290566 * A369747 A300722 A087625

Adjacent sequences: A285003 A285004 A285005 * A285007 A285008 A285009

Keyword

nonn

Author

Thomas J Wolf, Apr 07 2017

Status

approved