A284975 a(n) is the number of self-conjugate partitions of n which represent Chomp positions with Sprague-Grundy value 4.

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 3, 0, 1, 0, 2, 2, 2, 0, 6, 0, 2, 5, 5, 6, 8, 5, 6, 6, 6, 7, 8, 12, 10, 10, 16, 12, 20, 12, 17, 22, 16, 27, 21, 34, 25, 35, 29, 43, 42, 48, 38, 67

Offset

1,26

Comments

The number of all Chomp positions with Sprague-Grundy value 4 are given in A284690.

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, A284690.

Sequence in context: A240672 A352288 A243016 * A219202 A341980 A218031

Adjacent sequences: A284972 A284973 A284974 * A284976 A284977 A284978

Keyword

nonn

Author

Thomas J Wolf, Apr 06 2017

Status

approved