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A284782
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The number of partitions of n which represent Chomp positions with Sprague-Grundy value 9.
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2
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0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 2, 10, 12, 12, 20, 10, 24, 32, 44, 31, 38, 58, 66, 68, 82, 84, 128, 199, 137, 227, 248, 276, 354, 432, 505, 583, 788, 883, 961, 1143, 1497, 1704, 1994, 2388, 2819, 3231, 3787, 4495, 5222, 6191, 6955, 8257, 9414, 10825, 12787, 14848, 16283, 19664, 22455, 25678, 29477, 33697, 38821, 44508, 50498
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OFFSET
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1,10
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COMMENTS
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Chomp positions with Sprague-Grundy value 0 are the losing positions. Their number is given in A112470.
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REFERENCES
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P. M. Grundy, Mathematics and games, Eureka 2 (1939), 6-8; reprinted (1964), Eureka 27, 9-11.
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LINKS
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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]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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