A284780 The number of partitions of n which represent Chomp positions with Sprague-Grundy value 7.

0, 0, 0, 0, 0, 0, 0, 10, 0, 8, 6, 4, 10, 2, 14, 22, 14, 24, 30, 24, 30, 46, 56, 75, 64, 114, 108, 161, 142, 209, 254, 332, 407, 398, 514, 609, 755, 860, 972, 1250, 1382, 1578, 1920, 2293, 2685, 3131, 3509, 4412, 4792, 5761, 6824, 7434, 9100, 10329, 12144, 14012, 16342, 18703, 21795, 25174, 28442, 33173, 38295, 43787, 50554

Offset

1,8

Comments

Chomp positions with Sprague-Grundy value 0 are the losing positions. Their number is given in A112470.

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..65.

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. A112470, A112471, A112472, A112473.

Sequence in context: A157962 A063741 A320227 * A010681 A095418 A055961

Adjacent sequences: A284777 A284778 A284779 * A284781 A284782 A284783

Keyword

nonn

Author

Thomas J Wolf, Apr 02 2017

Status

approved