A284780 - OEIS

%I #14 Dec 19 2022 09:42:22

%S 0,0,0,0,0,0,0,10,0,8,6,4,10,2,14,22,14,24,30,24,30,46,56,75,64,114,

%T 108,161,142,209,254,332,407,398,514,609,755,860,972,1250,1382,1578,

%U 1920,2293,2685,3131,3509,4412,4792,5761,6824,7434,9100,10329,12144,14012,16342,18703,21795,25174,28442,33173,38295,43787,50554

%N The number of partitions of n which represent Chomp positions with Sprague-Grundy value 7.

%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 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. A112470, A112471, A112472, A112473.

%K nonn

%O 1,8

%A _Thomas J Wolf_, Apr 02 2017