

A285005


a(n) is the number of selfconjugate partitions of n which represent Chomp positions with SpragueGrundy 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
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OFFSET

1,34


COMMENTS

The number of all Chomp positions with SpragueGrundy value 8 are given in A284781.


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..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. 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: 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



