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A284687
The number of partitions of n which represent Chomp positions with Sprague-Grundy value 1.
1
0, 2, 0, 0, 0, 3, 0, 2, 4, 4, 8, 9, 8, 11, 16, 12, 38, 24, 36, 37, 54, 65, 72, 106, 100, 156, 152, 199, 202, 287, 404, 358, 514, 552, 606, 783, 912, 1095, 1246, 1504, 1694, 2050, 2230, 2743, 3294, 3487, 4352, 4930, 5644, 6586, 7508, 8681, 10100, 11629, 13168
OFFSET
1,2
COMMENTS
Chomp positions with Sprague-Grundy value 0 are the losing positions. The number of those positions is given in A112470.
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
KEYWORD
nonn
AUTHOR
Thomas J Wolf, Apr 01 2017
STATUS
approved