A285005 - OEIS

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, 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.

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]

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, A284781.

Sequence in context: A375150 A319660 A285726 * A263074 A281772 A082886

Adjacent sequences: A285002 A285003 A285004 * A285006 A285007 A285008

KEYWORD

nonn

AUTHOR

Thomas J Wolf, Apr 07 2017

STATUS

approved