A284977 - OEIS

A284977

a(n) is the number of self-conjugate partitions of n which represent Chomp positions with Sprague-Grundy value 6.

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 3, 1, 2, 3, 1, 3, 1, 8, 4, 3, 2, 7, 7, 8, 9, 5, 10, 8, 13, 10, 10, 12, 14, 18, 23, 13, 22, 19, 20, 24, 27, 30, 31

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OFFSET

1,28

COMMENTS

The number of all Chomp positions with Sprague-Grundy value 6 are given in A284693.

REFERENCES

P. M. Grundy, Mathematics and games, Eureka 2 (1939), 6-8; reprinted (1964), Eureka 27, 9-11.

LINKS

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).

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.

CROSSREFS

Cf. A112471, A112472, A112473, A284693.

Sequence in context: A359833 A025914 A376631 * A025916 A212211 A321764

Adjacent sequences: A284974 A284975 A284976 * A284978 A284979 A284980

KEYWORD

nonn

AUTHOR

Thomas J Wolf, Apr 06 2017

STATUS

approved