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A284978 a(n) is the number of self-conjugate partitions of n which represent Chomp positions with Sprague-Grundy value 7. 0

%I #13 Dec 19 2022 09:42:11

%S 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,2,1,2,

%T 2,1,1,0,0,2,0,2,2,1,1,7,3,6,2,1,10,4,12,5,12,10,10,11,11,10,10,17,17,

%U 21,20,22,15,26,28

%N a(n) is the number of self-conjugate partitions of n which represent Chomp positions with Sprague-Grundy value 7.

%C The number of all Chomp positions with Sprague-Grundy value 7 are given in A284780.

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

%H Thomas S. Ferguson, <a href="https://www.mina.moe/wp-content/uploads/2018/05/GAME-THEORY-Thomas-S.Ferguson.pdf">Game Theory</a> (lecture notes + exercise questions for a course on Combinatorial Game Theory).

%H R. Sprague, <a href="https://www.jstage.jst.go.jp/article/tmj1911/41/0/41_0_438/_article">Über mathematische Kampfspiele</a>, Tohoku Math. J. 41 (1936), 438-444.

%H R. Sprague, <a href="https://www.jstage.jst.go.jp/article/tmj1911/43/0/43_0_351/_article">Über zwei Abarten von Nim</a>, Tohoku Math. J. 43 (1937), 351-354.

%Y Cf. A112471, A112472, A112473, A284780.

%K nonn

%O 1,32

%A _Thomas J Wolf_, Apr 06 2017

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Last modified July 17 04:19 EDT 2024. Contains 374360 sequences. (Running on oeis4.)