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A285005 a(n) is the number of self-conjugate partitions of n which represent Chomp positions with Sprague-Grundy value 8. 0
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 5, 2, 4, 4, 0, 7, 2, 7, 7, 6, 5, 6, 8, 5, 6, 7, 8, 7, 14, 5, 10, 19, 24, 18, 20, 22 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,34

COMMENTS

The number of all Chomp positions with Sprague-Grundy value 8 are given in A284781.

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..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: A226206 A319660 A285726 * A263074 A281772 A082886

Adjacent sequences:  A285002 A285003 A285004 * A285006 A285007 A285008

KEYWORD

nonn

AUTHOR

Thomas J Wolf, Apr 07 2017

STATUS

approved

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Last modified August 6 12:33 EDT 2020. Contains 336246 sequences. (Running on oeis4.)