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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, 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 (list; graph; refs; listen; history; text; internal format)
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
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
Sequence in context: A053399 A322996 A242096 * A274101 A117773 A363824
KEYWORD
nonn
AUTHOR
Thomas J Wolf, Apr 06 2017
STATUS
approved

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Last modified June 22 15:57 EDT 2024. Contains 373590 sequences. (Running on oeis4.)