A284781 - OEIS

%I #14 Dec 19 2022 09:42:54

%S 0,0,0,0,0,0,0,0,2,8,8,8,8,14,20,22,22,24,26,20,34,34,62,50,60,67,108,

%T 136,167,181,246,256,354,352,500,567,688,705,925,1078,1332,1644,1795,

%U 2217,2642,2974,3566,4208,4791,5846,6775,7869,9206,10589,11962,14486,16365,19080,21509,25460,29335,33784,38563,44234,51093

%N The number of partitions of n which represent Chomp positions with Sprague-Grundy value 8.

%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="/A284781/b284781.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 1,9

%A _Thomas J Wolf_, Apr 02 2017