A284693 The number of partitions of n which represent Chomp positions with Sprague-Grundy value 6.

0, 0, 0, 0, 0, 0, 4, 4, 6, 4, 0, 10, 2, 18, 10, 13, 14, 18, 26, 25, 30, 41, 70, 72, 97, 85, 106, 142, 166, 183, 249, 269, 319, 355, 434, 502, 635, 787, 840, 1155, 1203, 1643, 1837, 2088, 2508, 3021, 3516, 4039, 4773, 5590, 6523, 7773, 8562, 10322, 11945

Offset

1,7

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: A090113 A073821 A155976 * A021228 A236230 A195781

Adjacent sequences: A284690 A284691 A284692 * A284694 A284695 A284696

Keyword

nonn

Author

Thomas J Wolf, Apr 01 2017

Status

approved