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A284689 The number of partitions of n which represent Chomp positions with Sprague-Grundy value 3. 2
0, 0, 0, 4, 0, 0, 4, 0, 4, 0, 6, 6, 8, 8, 8, 10, 15, 26, 17, 34, 39, 32, 73, 54, 99, 68, 133, 138, 167, 256, 261, 338, 357, 467, 545, 668, 775, 958, 1107, 1298, 1370, 1867, 2005, 2311, 2840, 3198, 3818, 4258, 4945, 5960, 6887, 8056, 9122, 10348, 12614, 14154 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

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.

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.

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]

CROSSREFS

Cf. A112471, A112472, A112473.

Sequence in context: A278216 A036480 A035639 * A037214 A245198 A203285

Adjacent sequences:  A284686 A284687 A284688 * A284690 A284691 A284692

KEYWORD

nonn

AUTHOR

Thomas J Wolf, Apr 01 2017

STATUS

approved

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Last modified February 18 04:48 EST 2020. Contains 332011 sequences. (Running on oeis4.)