A284784 The number of partitions of n which represent Chomp positions with Sprague-Grundy value 10.

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 10, 20, 18, 18, 22, 22, 46, 28, 54, 60, 58, 74, 90, 86, 114, 140, 178, 192, 193, 312, 312, 402, 421, 581, 642, 730, 890, 1080, 1294, 1429, 1716, 2186, 2488, 2912, 3385, 3888, 4499, 5458, 6232, 7178, 8839, 9925, 11382, 13108, 15153, 17719, 20391, 23135, 27251, 30166, 35634, 40630, 46393

Offset

1,11

Comments

Chomp positions with Sprague-Grundy value 0 are the losing positions. Their number is given in A112470.

References

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

Links

Thomas J Wolf, 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.

Sequence in context: A185779 A095009 A178820 * A219803 A320539 A145598

Adjacent sequences: A284781 A284782 A284783 * A284785 A284786 A284787

Keyword

nonn

Author

Thomas J Wolf, Apr 02 2017

Status

approved