A284781 The number of partitions of n which represent Chomp positions with Sprague-Grundy value 8.

0, 0, 0, 0, 0, 0, 0, 0, 2, 8, 8, 8, 8, 14, 20, 22, 22, 24, 26, 20, 34, 34, 62, 50, 60, 67, 108, 136, 167, 181, 246, 256, 354, 352, 500, 567, 688, 705, 925, 1078, 1332, 1644, 1795, 2217, 2642, 2974, 3566, 4208, 4791, 5846, 6775, 7869, 9206, 10589, 11962, 14486, 16365, 19080, 21509, 25460, 29335, 33784, 38563, 44234, 51093

Offset

1,9

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: A137575 A360780 A183393 * A289841 A143812 A245508

Adjacent sequences: A284778 A284779 A284780 * A284782 A284783 A284784

Keyword

nonn

Author

Thomas J Wolf, Apr 02 2017

Status

approved