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A284688 The number of partitions of n which represent Chomp positions with Sprague-Grundy value 2. 1
0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 8, 2, 19, 0, 16, 16, 25, 14, 50, 30, 74, 64, 115, 62, 123, 120, 185, 188, 275, 318, 379, 370, 488, 550, 678, 846, 953, 1094, 1374, 1522, 1941, 2054, 2528, 3130, 3318, 4028, 4701, 5360, 6345, 7180, 8307, 9548, 11369, 12788, 14925 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Chomp positions with Sprague-Grundy value 0 are 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

Table of n, a(n) for n=1..55.

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: A322795 A050602 A065040 * A057595 A035201 A035179

Adjacent sequences:  A284685 A284686 A284687 * A284689 A284690 A284691

KEYWORD

nonn

AUTHOR

Thomas J Wolf, Apr 01 2017

STATUS

approved

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Last modified February 26 05:36 EST 2020. Contains 332276 sequences. (Running on oeis4.)