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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 (list; graph; refs; listen; history; text; internal format)
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.

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

Table of n, a(n) for n=1..55.

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: A083059 A173440 A330936 * A046268 A202425 A292374

Adjacent sequences:  A284684 A284685 A284686 * A284688 A284689 A284690

KEYWORD

nonn

AUTHOR

Thomas J Wolf, Apr 01 2017

STATUS

approved

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Last modified January 19 20:41 EST 2020. Contains 331066 sequences. (Running on oeis4.)