A054016 a(n) = smallest nonnegative integer not the Nim sum of at most 4 earlier terms.

1, 2, 4, 8, 16, 31, 32, 64, 103, 128, 171, 213, 256, 301, 342, 439, 475, 494, 512, 558, 595, 911, 1024, 1075, 1114, 1189, 1287, 1606, 1727, 1996, 2048, 2102, 2140, 2225, 2339, 2667, 2691, 3240, 3733, 4096, 4153, 4171, 4371, 4745, 4912, 5237, 5601, 5746

Offset

1,2

Comments

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

References

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.

Links

Table of n, a(n) for n=1..48.

A. S. Fraenkel, Mathematical Chats Between Two Physicists, in Puzzlers' Tribute: A Feast for the Mind, honoring Martin Gardner (D. Wolfe and T. Rodgers, eds.), A. K. Peters, 2002, pp. 315-325.

Index entries for sequences related to Nim-sums

Crossrefs

Cf. A000069, A033623, A054043, etc.

Sequence in context: A277678 A018763 A054517 * A051039 A325730 A325749

Adjacent sequences: A054013 A054014 A054015 * A054017 A054018 A054019

Keyword

nonn,nice

Author

N. J. A. Sloane, Apr 29 2000

Extensions

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

Status

approved