

A284780


The number of partitions of n which represent Chomp positions with SpragueGrundy value 7.


1



0, 0, 0, 0, 0, 0, 0, 10, 0, 8, 6, 4, 10, 2, 14, 22, 14, 24, 30, 24, 30, 46, 56, 75, 64, 114, 108, 161, 142, 209, 254, 332, 407, 398, 514, 609, 755, 860, 972, 1250, 1382, 1578, 1920, 2293, 2685, 3131, 3509, 4412, 4792, 5761, 6824, 7434, 9100, 10329, 12144, 14012, 16342, 18703, 21795, 25174, 28442, 33173, 38295, 43787, 50554
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OFFSET

1,8


COMMENTS

Chomp positions with SpragueGrundy value 0 are the losing positions. Their number 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..65.
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: A157962 A063741 A320227 * A010681 A095418 A055961
Adjacent sequences: A284777 A284778 A284779 * A284781 A284782 A284783


KEYWORD

nonn


AUTHOR

Thomas J Wolf, Apr 02 2017


STATUS

approved



