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A284690 The number of partitions of n which represent Chomp positions with Sprague-Grundy value 4. 2

%I #29 Dec 19 2022 09:43:07

%S 0,0,0,0,2,4,2,2,2,0,7,4,0,14,7,18,4,28,16,30,44,65,50,83,100,174,168,

%T 211,256,283,318,450,456,628,690,872,986,1164,1361,1633,1832,2118,

%U 2701,2950,3540,3966,4775,5280,6346,7150,8686,9516,11096,13140,15274

%N The number of partitions of n which represent Chomp positions with Sprague-Grundy value 4.

%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="/A284690/b284690.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 1,5

%A _Thomas J Wolf_, Apr 01 2017

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