A054016 - OEIS

%I #7 Mar 30 2012 16:48:45

%S 1,2,4,8,16,31,32,64,103,128,171,213,256,301,342,439,475,494,512,558,

%T 595,911,1024,1075,1114,1189,1287,1606,1727,1996,2048,2102,2140,2225,

%U 2339,2667,2691,3240,3733,4096,4153,4171,4371,4745,4912,5237,5601,5746

%N a(n) = smallest nonnegative integer not the Nim sum of at most 4 earlier terms.

%C Grundy function for turn-at-most-5-coins game.

%D E. R. Berlekamp, J. H. Conway and R. K. Guy, Winning Ways, Academic Press, NY, 2 vols., 1982, see Table 3, Chapter 14, p. 433.

%H A. S. Fraenkel, <a href="http://www.wisdom.weizmann.ac.il/~fraenkel/Papers/wolf4.ps">Mathematical Chats Between Two Physicists</a>, in Puzzlers' Tribute: A Feast for the Mind, honoring Martin Gardner (D. Wolfe and T. Rodgers, eds.), A. K. Peters, 2002, pp. 315-325.

%H <a href="/index/Ni#Nimsums">Index entries for sequences related to Nim-sums</a>

%Y Cf. A000069, A033623, A054043, etc.

%K nonn,nice

%O 1,2

%A _N. J. A. Sloane_, Apr 29 2000

%E More terms from Larry Reeves (larryr(AT)acm.org), Oct 31 2000