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A284782 The number of partitions of n which represent Chomp positions with Sprague-Grundy value 9. 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,10

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.

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.

LINKS

Thomas J Wolf, 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).

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]

CROSSREFS

Cf. A112471, A112472, A112473.

Sequence in context: A250108 A210735 A075086 * A128781 A135440 A215500

Adjacent sequences:  A284779 A284780 A284781 * A284783 A284784 A284785

KEYWORD

nonn

AUTHOR

Thomas J Wolf, Apr 02 2017

STATUS

approved

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Last modified July 7 14:34 EDT 2020. Contains 335495 sequences. (Running on oeis4.)