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A284782 The number of partitions of n which represent Chomp positions with Sprague-Grundy value 9. 2

%I #14 Dec 19 2022 09:42:50

%S 0,0,0,0,0,0,0,0,0,4,2,10,12,12,20,10,24,32,44,31,38,58,66,68,82,84,

%T 128,199,137,227,248,276,354,432,505,583,788,883,961,1143,1497,1704,

%U 1994,2388,2819,3231,3787,4495,5222,6191,6955,8257,9414,10825,12787,14848,16283,19664,22455,25678,29477,33697,38821,44508,50498

%N The number of partitions of n which represent Chomp positions with Sprague-Grundy value 9.

%C Chomp positions with Sprague-Grundy value 0 are the losing positions. Their number is given in A112470.

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

%H Thomas J Wolf, <a href="/A284782/b284782.txt">Table of n, a(n) for n = 1..69</a>

%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 P. M. Grundy, <a href="/A002188/a002188.pdf">Mathematics and games</a>, 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]

%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.

%K nonn

%O 1,10

%A _Thomas J Wolf_, Apr 02 2017

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