

A284687


The number of partitions of n which represent Chomp positions with SpragueGrundy 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
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OFFSET

1,2


COMMENTS

Chomp positions with SpragueGrundy 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), 68; reprinted (1964), Eureka 27, 911.
R. Sprague, Über mathematische Kampfspiele, Tohoku Math. J. 41 (1936), 438444.
R. Sprague, Über zwei Abarten von Nim, Tohoku Math. J. 43 (1937), 351354.


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. 68. [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



